soft Product List and Ranking from 1838 Manufacturers, Suppliers and Companies | IPROS

Last Updated： Aggregation Period:Sep 02, 2026～Sep 29, 2026
This ranking is based on the number of page views on our site.

soft Manufacturer, Suppliers and Company Rankings

Last Updated： Aggregation Period:Sep 02, 2026～Sep 29, 2026
This ranking is based on the number of page views on our site.

  1. アークシステム 本社 Kanagawa//others
  2. B7 Tokyo//Information and Communications
  3. Bentley Systems LLC Tokyo//Service Industry
  4. 4 ユニオンシステム Osaka//Information and Communications
  5. 5 ウェーブフロント 本社 Kanagawa//others
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soft Product ranking

Last Updated： Aggregation Period:Sep 02, 2026～Sep 29, 2026
This ranking is based on the number of page views on our site.

  1. Quicker and more accurate construction cost estimation! Drawing extraction software Hiroi-kun III アークシステム 本社
  2. Data extraction software "Hiroi-kun III" supports CAD and PDF drawing data. アークシステム 本社
  3. Learn from U.S. retail companies! Presentation of materials summarizing tips for retail strategy planning. マンハッタン・アソシエイツ
  4. 4 Cloud-based estimation and quotation for the construction industry [Raku Oh! Workspace] アークシステム 本社
  5. 5 Company Overview: Bentley Systems Japan Branch Bentley Systems LLC

soft Product List

2971～3000 item / All 6563 items

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[Presentation of Seminar Materials] How to Simplify Network Management in Factories and Other Facilities

[Presentation of Seminar Materials] How to Simplify Network Management in Factories and Other Facilities

Introducing methods for efficient problem-solving in increasingly advanced and complex IT environments!

This document explains the simplification of network management in factories and similar environments that have become complex due to smart technologies. In "Visualization of IP Addresses and Centralized Device Management," we introduce "IP Address Manager" and "User Device Tracker." Additionally, we also cover "Steps to Efficient Network Operations" and "Platform," so please take a moment to read through it. [Contents (Partial)] ■ Visualization of IP Addresses and Centralized Device Management - Introduction of IP Address Manager - Introduction of User Device Tracker ■ Steps to Efficient Network Operations - Observability *For more details, please refer to the PDF document or feel free to contact us.

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H-ISAC Japan Council Japan-U.S. Joint Workshop

H-ISAC Japan Council Japan-U.S. Joint Workshop

Based on the inspection checklist under Article 25 of the Medical Care Act, challenges related to the application of security patches and presentations on Heimdal patches, etc.

Jupiter Technology Co., Ltd. held the seminar "H-ISAC Japan Council US-Japan Joint Workshop 2024." The presentation was titled "Urgent Issues: How to Advance Vulnerability and Ransomware Countermeasures Based on the Inspection Checklist Under Article 25 of the Medical Care Act." Mainly, we introduced the promotion of patch management based on Article 25, Paragraph 1 of the Medical Care Act, as well as Heimdal patches and vulnerabilities. [Presentation Content] ■ Introduction of our company and speaker ■ Promotion of patch management based on Article 25, Paragraph 1 of the Medical Care Act ■ Introduction of Heimdal patches and vulnerabilities ■ Summary *For more details, please refer to the PDF document or feel free to contact us.

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[Image Processing Software] Detect cracks in photos using artificial intelligence technology!

[Image Processing Software] Detect cracks in photos using artificial intelligence technology!

High-quality crack detection is possible with just one photo thanks to our independently developed artificial intelligence! Leave your IoT and image processing contract development to us!

The assessment and recording of the deterioration of concrete structures have been carried out by human hands, and issues such as quality variability and labor shortages have been challenges. To solve these problems, we utilize the image processing technology we have developed so far to enable crack detection from photographs using artificial intelligence! Please also leave other IoT and image processing contract development to us. *For more details, please refer to the catalog or feel free to contact us. 【Features】 ■ Obstacle Removal Function - Removes obstacles captured in the background or foreground from the crack detection target. ■ Surface Dirt Removal Function - Removes dirt from the concrete surface from the crack detection target. ■ Joint Removal Function - Removes joints in the concrete from the crack detection target.

  • Vibration and Sound Level Meter
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Information Security Product: CFKeeper

Information Security Product: CFKeeper

Safe and low-cost! Strengthening cloud storage security from the endpoint.

"CFKeeper" enhances the security of endpoints that utilize cloud storage. Files in the sync folder are automatically encrypted. Files synchronized/uploaded to cloud storage are not encrypted, allowing for viewing on the go and sharing with external parties as usual. It safely and cost-effectively addresses issues such as "leakage of sync folder/cache data during targeted attacks or malware infections" and "hard disk extraction when a PC is lost." 【Features】 ■ Prohibits copying/uploading to locations outside the cloud storage sync folder ■ Automatically encrypts files within the sync folder ■ Limits file storage to cloud storage ■ Files synchronized/uploaded to cloud storage are not encrypted, allowing for viewing on the go and sharing with external parties as usual *For more details, please refer to the related link page or feel free to contact us.

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Educational Phase Optimization Software "OPTISHAPE-ES"

Educational Phase Optimization Software "OPTISHAPE-ES"

A perfect introductory software for phase optimization for those who are just starting optimization or for students!

OPTISHAPE-ES is a topology optimization program designed for beginners in optimization. It also offers simple layout suggestions as one of the design ideas for your project. With its integrated pre-post capabilities, both condition setup and analysis execution can be operated very easily. The topology optimization technology of the structural optimization software OPTISHAPE-TS has been improved for beginners, and by selecting essential features, it is available for free download from the product site. *Element limit: 7,000. *For more details, please refer to the related links or feel free to contact us.

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CAD model generation software 'S-Generator'

CAD model generation software 'S-Generator'

Easily edit STL data and output to high-precision CAD data! Significantly improve work efficiency ★ Case study collection available ★

The "S-Generator" is software for various editing of STL data and for generating high-precision CAD data based on its shape. By using the STL editing functions aimed at producing high-quality CAD models, it is possible to make modifications suitable for structural optimization results, such as smoothing shapes while considering their characteristics, correcting unwanted holes and irregular curves, and adjusting sizes while maintaining arcs. Additionally, it can significantly contribute to the creation of clean STL data for use with 3D printers. It also connects different analysis software and functions, expanding the scope of analysis tasks. 【Features】 ■ Modifications suitable for structural optimization results, such as smoothing shapes while considering their characteristics ■ The generated CAD data can be used as solid models in various CAD software ■ It can significantly contribute to the creation of clean STL data for use with 3D printers ■ It can be used for analyses that are difficult to achieve with STL data from structural optimization results alone ■ Efficiently connects optimized shapes to subsequent tasks ★ Case studies available ★ Please take a look from the PDF download.

  • Drawing, tracing, CAD
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Image-based structural analysis software 'VOXELCON'

Image-based structural analysis software 'VOXELCON'

Easy modeling of any shape! 3D editing, analysis, measurement, and material property calculation of CT images based on images.

"VOXELCON" is a powerful image-based structural analysis software that directly models and utilizes CT images obtained from physical objects and STL data from CAD for analysis and measurement. It is equipped with a variety of reverse engineering functions as structural analysis and measurement features. It is effective in various scenarios, from cast products to composite materials, and from the design stage to quality control. Additionally, voxel segmentation is ultra-fast, capable of creating a mesh of 100 million voxels in just a few seconds, and is extremely robust, resulting in very few failures. 【Features】 ■ Direct use of physical data ■ Various reverse engineering functions ■ Ultra-fast and robust voxel segmentation ■ Large-scale solver included ■ Cutting-edge multi-scale analysis *For more details, please refer to the related links or feel free to contact us.

  • Analysis and prediction system
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General-purpose parameter optimization software "AMDESS"

General-purpose parameter optimization software "AMDESS"

Improve work efficiency with a dedicated GUI! Efficiently analyze multiple challenges such as performance, cost, and safety.

"AMDESS" is a general-purpose parameter optimization software aimed at enabling easy and quick optimization. It can be easily executed using an Excel-based interface, automating input and output to enhance design improvements and decision-making efficiency. By using approximate models for the relationships between multiple parameter responses, it derives suitable values that meet various requirements, providing hints to designers. 【Features】 ■ Sequentially updated response surface method ■ Dedicated GUI/interface for improved work efficiency ■ Compatible with various pre-post and solvers ■ Recommended for nonlinear problems *For more details, please refer to the related links or feel free to contact us.

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Structural optimization design software 'HiramekiWorks'

Structural optimization design software 'HiramekiWorks'

One-click generation of solid models! Responding to practical needs in the design field.

"HiramekiWorks" is a structural optimization design software that boasts achievements in the manufacturing industry, equipped with both "Topology Optimization" and "Shape Optimization" functions as an add-in product for the 3D CAD SOLIDWORKS. Using the analysis conditions set in SOLIDWORKS, you can complete everything from running the analysis to importing the result model with just one click. Why not try designing something that has never been done before with our software, which incorporates unique know-how? 【Features】 ■ Easy optimization in a familiar environment ■ Addresses practical needs such as weight reduction and stress reduction under various conditions ■ Automatically generates solid models of optimization results ■ Use the geometry editor for solid models that are more suitable for analysis *For more details, please refer to the related links or feel free to contact us.

  • Architectural Design Software
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[Case Study] Shape Optimization of Table Legs Considering Thickness

[Case Study] Shape Optimization of Table Legs Considering Thickness

Lightweight design considering the generated stress and the thickness of the member. An example of applying shape optimization to the table leg.

Here, we will perform shape optimization on the table legs, minimizing the volume while ensuring that the Mises stress does not exceed a specified value. In shape optimization, we can optimize based on Mises stress or maximum principal stress. Additionally, by applying symmetry conditions, we will conduct the analysis using a quarter model of the entire structure. *For more details, please refer to the related links or feel free to contact us.*

  • Architectural Design Software
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[Case Study] Structural Examination of Drone Skeleton: Optimization Using Level Set Method

[Case Study] Structural Examination of Drone Skeleton: Optimization Using Level Set Method

"HiramekiWorks" is a structural optimization design software that features both "topology optimization" and "shape optimization" functions.

Topology optimization using the level set method can yield clear optimal structures without grayscale. Additionally, it provides results that accurately satisfy the given volume constraints, allowing busy designers to utilize structural optimization in product design more easily, without struggling to interpret the optimization results. Here, we will introduce an example of applying topology optimization using the level set method in the structural examination of delivery drones. *For more details, please refer to the related links or feel free to contact us.*

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[Case Study] Analysis of Complex Shape Models - Reducing Labor Costs -

[Case Study] Analysis of Complex Shape Models - Reducing Labor Costs -

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

When creating an analysis model by mesh partitioning from a detailed CAD model created as design data, the following issues can be noted: - The number of elements becomes enormous, leading to high computational costs. - Mesh partitioning is difficult and requires the tips and techniques of experienced users. Additionally, the analysis results depend on the mesh partitioning. - In some cases, automatic element partitioning is not possible. However, even if you try to analyze using a simplified shape... - The effort required for simplification is significant. - Evaluating the impact of simplification on analysis accuracy is cumbersome. These issues can be resolved by VOXELCON's voxel mesh generation technology. Even complex shapes can be easily converted into analysis models, reducing the man-hours required for analysis. *For more details, please refer to the related links or feel free to contact us.

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Example: Injection Molding - Simultaneous Filling of Multi-Cavity Molds

Example: Injection Molding - Simultaneous Filling of Multi-Cavity Molds

By collaborating with 3D TIMON, we automatically suppress variations and improve yield.

In general, even runners of equal length have different flow lengths for inner and outer paths, leading to filling imbalances. Here, we will introduce an example of optimizing runner diameter by integrating AMDESS and 3D TIMON* to improve filling balance. *3D TIMON is a plastic injection molding CAE software developed by Toray Engineering Co., Ltd. *For more details, please refer to the related links or feel free to contact us.

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[Example] Shape optimization to match the natural frequency with experimental measurement results.

[Example] Shape optimization to match the natural frequency with experimental measurement results.

Efficiently considering multiple constraints, control the eigenvalues of automotive brake components!

We present an example of analysis applying the non-parametric shape optimization function of "OPTISHAPE-TS," which employs an algorithm based on the smoothing gradient method (force method) to match multiple natural frequencies in automotive brake components. The optimization conditions were set to target natural vibration modes from the 7th to the 21st, aiming to match their natural frequencies to specified target values (considering MAC values) while keeping the volume unchanged. As a result, a final shape was obtained where each eigenvalue and volume matched their respective constraint values with an accuracy within 0.01%. In this case, the control of eigenvalues was performed using specified initial shape ratios, but analyses can also be conducted using absolute values or by combining other controls such as nodal positions of natural vibration modes and frequency response. This can also be utilized for eigenvalue control and resonance avoidance. For more details, please refer to the PDF materials or feel free to contact us.

  • Scientific Calculation and Simulation Software
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[Case Study] Shape optimization of an arm considering layout constraints due to component interference.

[Case Study] Shape optimization of an arm considering layout constraints due to component interference.

Shape optimization is suitable for improvements from existing shapes! A case that achieved approximately 40% weight reduction.

We will introduce a case of arm optimization considering interference conditions. To obtain a shape that does not interfere with the area, we create a mesh of the designable region. By designating this model as the "deviation specification area," we optimize it to achieve a shape that does not protrude from this area (does not deviate). As a result, we obtained a lightweight shape that meets various constraints without deviating from the specified area. Shape optimization is suitable for improvements from existing shapes, and by adding multiple constraints such as stress constraints and manufacturing requirements, it is possible to conduct more detailed examinations. *For more details, please refer to the PDF document or feel free to contact us.*

  • Scientific Calculation and Simulation Software
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[Case Study] Shape optimization for equalizing reaction forces ★ Detailed materials available

[Case Study] Shape optimization for equalizing reaction forces ★ Detailed materials available

Consider "reaction force" as a manufacturing requirement! Reduce the reaction force values at points with high fixed-point reaction forces!

We will perform non-parametric shape optimization to ensure that the reaction forces at the bolted fixed points are equal, and we will introduce a case that reduces the reaction force values at the locations with high fixed point reaction forces. The analysis model completely fixes four bolted points and applies a load of 1,000N in the Z-axis direction. In the evaluation of the initial shape, the reaction force value at the lower left part was the largest, reaching 415.1N. 【Case Overview】 ■Optimization Conditions - Objective Function: Volume Minimization - Constraints: Reaction force of 250N in the Z-axis direction at each fixed point, 3.0 times the compliance of the initial shape - Shape Variation Restrictions (constraints related to manufacturing requirements): Minimum thickness, maintaining the plane of the Z component on one side For further details, please refer to the PDF document or feel free to contact us.

  • Scientific Calculation and Simulation Software
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[Example] CAD model generation from engine block STL data

[Example] CAD model generation from engine block STL data

Even with complex shapes, you can obtain smooth and highly accurate CAD data by combining crease editing!

Software that responds to the many requests from customers for "CAD return" We will introduce a case of outputting CAD data from STL data using "S-Generator." For the crease settings, we prioritize the extraction of the analysis surface first, outlining holes and other features with creases while extracting cylindrical and flat surfaces, which are then recognized as analysis surfaces after CAD data output. After that, we add creases in the desired locations where we want corners to appear on the resulting surfaces. Additionally, various analysis surfaces such as cylindrical and flat surfaces are color-coded separately from the usual crease lines, making it easy to confirm. 【Case Overview】 ■STL Model - Engine Block- ・Number of triangular patches: 492,886 ■Time taken for crease settings and analysis surface extraction: 4 hours (manual work) *For more details, please refer to the detailed materials available for download as a PDF or feel free to contact us.

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[Example] Generation of CAD model from topology optimization results of a chair.

[Example] Generation of CAD model from topology optimization results of a chair.

Utilize the generated surface! It is possible to conduct verification analysis by generating a mesh.

We will introduce a case where we smoothed the surface of the shape obtained from topology optimization analysis and created a CAD model for verification analysis, as well as STL data for 3D printing. The generated curved surface can be treated as a solid body in CAD software, allowing for verification analysis by generating a mesh. Additionally, by outputting the STL data after smoothing the surface, it can be produced using a 3D printer. [Work Contents] ■ Initial STL ■ Fold settings ■ Editing of small holes ■ Smoothing ■ Editing of thin members ■ Generated curved surface *For more details, please refer to the PDF materials or feel free to contact us.

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Example: Press Processing - Optimization of Press Processing Conditions

Example: Press Processing - Optimization of Press Processing Conditions

Optimize the pressing conditions to improve wrinkle height and strain.

Press processing is a method used in the manufacturing of various industrial products, including automobiles. Since this press processing is often used for mass-produced products, it is desirable to carefully examine the processing conditions in advance using CAE. In this case, we optimized the processing conditions by linking the general-purpose parameter optimization software "AMDESS" with the explicit dynamic analysis software "Abaqus/Explicit Student Edition" (from SIMULIA, USA). We added recommended points based on the density of the data points we had previously investigated! We took measures to avoid falling into local solutions. As a result, we achieved a maximum equivalent plastic strain reduction of 9% while satisfying all constraints. [Analysis Model] ■Blank - Number of nodes: 505 - Number of elements: 400 - Young's modulus: 2.1×10^11 [Pa] - Poisson's ratio: 0.3 *For more details, please refer to the PDF document or feel free to contact us.

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Example: Material Data Correlation - Identification of Heat Transfer Coefficient

Example: Material Data Correlation - Identification of Heat Transfer Coefficient

We identify parameters that change with environmental and analytical conditions. Not only the heat transfer coefficient but also the stress-strain curve in elastoplastic analysis can be identified!

The heat transfer coefficient depends on the surrounding environment and is not unique to the material, making it difficult to determine its value. If a heat transfer coefficient that can reproduce the measurement results can be identified, it is expected that good simulation results can be obtained for another model under similar environmental conditions. In this case, the general-purpose parameter optimization software "AMDESS" was linked with "Nastran" to identify the heat transfer coefficient. As a result, the temperature at the evaluation points matched the target value within an error of 0.3%, and the heat transfer coefficients for each surface were obtained. 【Optimization Conditions】 ■ Design Variables - Heat transfer coefficients for each surface (h1 to h6) - Range: 10.0 to 70.0 [W/m²K] ■ Objective Function: Minimize the squared error from the target temperature at each evaluation point = Bring the calculated temperature closer to the specified target temperature *For more details, please refer to the PDF document or feel free to contact us.

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[Example] Topology optimization considering manufacturing requirements

[Example] Topology optimization considering manufacturing requirements

Initial design proposals and significant contributions to cost reduction! Introducing topology density variation limitation functions such as 'cross-section'!

Topology optimization is a method for determining the necessity or redundancy of materials (member layout) that contributes to lightweight and high-rigidity product design by seeking structures that maximize rigidity under a certain weight limit. While it allows for significant structural changes compared to the initial structure, it can also result in outcomes that are difficult to manufacture or lead to complex structures with high manufacturing costs. To avoid such situations, the topology optimization in 'OPTISHAPE-TS' utilizes a topology density variation limitation function, enabling optimization while satisfying manufacturing requirements. [Contents] ■ Overview ■ Topology Density Variation Limitation Function ■ Discussion *Detailed case information can be viewed through the related links. For more information, please feel free to contact us.

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[Example] Shape optimization using multiple reduced-order models.

[Example] Shape optimization using multiple reduced-order models.

Achieved approximately 27% weight reduction! Introducing a method for shape optimization that simultaneously considers multiple mechanical conditions.

In mechanical components with mechanisms like links, the arrangement of surrounding parts can change depending on their operational status, which may also alter the mechanical conditions experienced by the component. When designing such mechanical components, it is necessary to consider multiple mechanical conditions simultaneously. "OPTISHAPE-TS" provides various functions for optimization that take these multiple mechanical conditions into account at the same time. Here, we will introduce a method for shape optimization that considers multiple mechanical conditions simultaneously by using several reduced-order models and switching between them during analysis. [Contents (partial)] ■ Overview ■ Analysis Model ■ Model Reduction ■ Optimization Conditions *Detailed information about the case study can be viewed via the related links. For more information, please feel free to contact us.

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[Example] Shape optimization considering stress

[Example] Shape optimization considering stress

Using "OPTISHAPE-TS"! Introducing optimization cases with different stress constraints based on model parts.

In strength design, stress serves as an important guideline. When performing strength assessments based on stress, it is necessary to change the evaluation stress values according to different parts, not just relying on the maximum value. In such cases, by specifying constraint stress values for each region, it is possible to obtain an optimal shape that constrains stress at multiple evaluation points and all locations. This time, we will introduce an optimization case that applies different stress constraints based on the model's parts. [Contents] ■ Overview ■ Analysis Model ■ Optimization Conditions ■ Results ■ Discussion *Detailed information about the case can be viewed through the related links. For more information, please feel free to contact us.

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[Case Study] Accuracy Verification of Stress Using Finite Covering Method (FCM)

[Case Study] Accuracy Verification of Stress Using Finite Covering Method (FCM)

Compared to the finite element method (FEM)! Verified with models using three patterns of voxel sizes.

Finite element analysis using voxels has the advantage of being easy to operate, fast, and not incurring human costs; however, it also has the disadvantage of causing stress wave phenomena. To eliminate this disadvantage, we apply the Finite Covering Method (FCM) to improve analysis accuracy. Here, we will verify how the analysis accuracy is improved by using the Finite Covering Method (FCM) while changing the mesh size and comparing it with the Finite Element Method (FEM). [Contents] ■ Overview ■ Analysis Model ■ Analysis Results *Detailed information about the case study can be viewed through the related links. For more details, please feel free to contact us.

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[Case Study] Accuracy Verification of Displacement and Temperature Using Finite Covering Method (FCM)

[Case Study] Accuracy Verification of Displacement and Temperature Using Finite Covering Method (FCM)

I will introduce the issues with voxel analysis and a case study applying FCM as a solution!

The displacement solution of static stress analysis, or the temperature solution of steady-state heat conduction analysis, generally does not produce significant errors as long as the shape is accurately represented. However, there are cases where errors can become substantial. When the original shape does not match the voxel pitch, discrepancies in the shape occur. Therefore, to achieve better accuracy in the analysis, it is necessary to refine the mesh, which increases the model size. Here, we will introduce a case study applying FCM as a solution to this issue. 【Contents】 ■ Overview - Issues with voxel analysis ■ Analysis Model - Boundary conditions ■ Analysis Results - Static stress analysis / Steady-state heat conduction analysis *Detailed information about the case study can be viewed through the related links. For more information, please feel free to contact us.

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Example: Injection Molding - Reducing clamping force to downsize the molding machine.

Example: Injection Molding - Reducing clamping force to downsize the molding machine.

We will collaborate with 3D TIMON to explore gate positions that can be injected even with small molding machines, thereby reducing production costs.

Optimizing molding conditions parametrically in resin flow analysis can be relatively easily achieved, but automatically changing the shape of the cavity and the arrangement of the runner while optimizing is challenging. To facilitate these optimizations, we developed "AMDESS for 3D TIMON" in collaboration with Toray Engineering Co., Ltd. Here, we will introduce a case study of optimizing the gate position to minimize clamping force while automatically re-modeling the runner when changing the gate position. [Contents] ■ Overview ■ Analysis Model ■ Optimization Conditions ■ Results ■ Discussion *Detailed information about the case study can be viewed through the related links. For more information, please feel free to contact us.

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Case Study Collection 1 of Structural Optimization Design Software 'OPTISHAPE-TS'

Case Study Collection 1 of Structural Optimization Design Software 'OPTISHAPE-TS'

Detailed explanations of examples of shape optimization that aligns the natural frequency with experimental measurement results, and topology optimization cases that consider manufacturing requirements, using diagrams and tables!

In this case study collection, we introduce problem-solving examples using the structural optimization design software 'OPTISHAPE-TS'. We include examples of shape optimization that aligns natural frequencies with experimental measurement results, as well as topology optimization examples that consider manufacturing requirements. We provide a detailed explanation of the analysis models, optimization conditions, results, and discussions, using figures and tables. Please feel free to download and take a look. [Contents] ■ Shape optimization that aligns natural frequencies with experimental measurement results ■ Lightweight design of rotating parts considering rigidity and manufacturing requirements ■ Topology optimization considering manufacturing requirements ■ Shape optimization considering rigidity in the arrangement patterns of multiple parts *For more details, please refer to the PDF materials or feel free to contact us. *Those who are not members of Ipros can also download the materials from the related links below (within our company site).

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[Technical Column] The Theory of OPTISHAPE-TS: "Wave Phenomenon"

[Technical Column] The Theory of OPTISHAPE-TS: "Wave Phenomenon"

The Difficulty of Nonparametric Optimization! Introduction to a Technical Column

In the previous discussion, I explained that the checkerboard phenomenon is a challenging issue in topology optimization. I also discussed a technique called filtering as a workaround, but highlighted the difficulty in finding the right balance for its application. Additionally, a completely different approach has been proposed to avoid the checkerboard pattern without modifying the optimization problem. This idea involves using design variables at the nodes rather than at the elements, and interpolating within elements using a C^0 continuous function. Please feel free to download and take a look. [Contents] ■ Episode 5: The Difficulty of Nonparametric Optimization Part 4 "Wavy Phenomenon" *For more details, please refer to the PDF document or feel free to contact us.

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[Column] The Theory of OPTISHAPE-TS: Checkerboard Phenomenon

[Column] The Theory of OPTISHAPE-TS: Checkerboard Phenomenon

I will explain the difficulties of non-parametric optimization from another perspective!

In the previous sections, we explained that in non-parametric optimization, the number of design variables to be determined is large, meaning that the dimensionality of the search space is high, which is why optimization algorithms using sensitivity are employed. In this article, we will further explain the difficulties of non-parametric optimization from another perspective. Please feel free to download and take a look. [Contents] ■ Episode 4: The Difficulty of Non-Parametric Optimization Part 3 "Checkerboard Phenomenon" *For more details, please refer to the PDF document or feel free to contact us.

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[Column] The Theory of OPTISHAPE-TS: Norm Spaces and Inner Product Spaces

[Column] The Theory of OPTISHAPE-TS: Norm Spaces and Inner Product Spaces

Explanation of spaces where norms and inner products are defined! Introduction to a technical column.

In the previous article, we explained the concept of "space" in modern mathematics. The concept of a set exists as "a collection of specific things," and among those, we specifically call those that can determine some kind of relationship between the elements belonging to it "space." Additionally, we introduced "linear spaces" and "metric spaces" as concrete examples of spaces. In this article, we will further discuss spaces where norms and inner products are defined. Please feel free to download and take a look. [Contents] ■ Episode 10: What is the H1 Gradient Method? Part 3 "Norm Spaces and Inner Product Spaces" *For more details, please refer to the PDF document or feel free to contact us.

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