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Mathematical Modeling Lab
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The lab studies computational mechanics, calculating continuum mechanics with the finite element method.
AboutAbout the lab
Calculating continuum mechanics with the finite element method
The Mathematical Modeling Lab studies computational mechanics based on the finite element method, as well as continuum mechanics.
The research fields of Professor Takahiro Yamada are listed as computational science, mechanics of materials, biomedical engineering, and numerical analysis.
The lab also works on developing a biosimulation platform for evaluating surgical techniques.
On the lab's website, it is introduced under the name "Yamada-Matsui Lab".
Key terms
- Neighboring problem method
- A method of verifying an approximate solution: a neighboring solution, a smooth function, is constructed from the computed approximate solution, and a problem whose exact solution is that neighboring solution is derived
- Hyperelastic body
- A model of an elastic body used to represent materials such as rubber
NewsLab news
View More ↗ResearchResearch themes
The lab uses the finite element method to study numerical computation of problems in continuum mechanics. It also works on verification methods to check whether computed results are correct, and on developing biosimulation for evaluating surgical techniques.
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MembersFaculty
- ProfessorTakahiro Yamada
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Finite element sparse matrix” Oleg Alexandrov / Public domain (cropped)
- Methods for verifying numerical results: “Computer simulation of a Lyman-alpha Blob” J.Geach/D.Narayanan/R.Crain / CC BY 4.0 (cropped)
- Related lab (応用固体力学研究室): “Friction-Driven Encoder Test (encoder 04-CC)” International Gemini Observatory/NOIRLab/NSF/AURA / CC BY 4.0 (cropped)
- Related lab (数値材料力学研究室): “Fluid-Structure-Interaction-Topology-Optimization-2” Chrlundg / CC BY-SA 4.0 (cropped)
- Related lab (流体生産システム研究室): “Shear Flow Vortices” KarlGaff / CC BY 4.0 (cropped)
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