Numerical analysis, which constitutes a field of applied mathematics, has developed with the goal of solving mathematical models described by boundary value problems of partial differential equations with high accuracy. Due to its benefits, numerical analysis has come to be used on a daily basis as a means to replace experiments in product design. Then, as the next goal, the problem of determining the mathematical model so as to obtain the desired phenomenon by using the mathematical model as a variable comes into view. These problems fall into the field called inverse problems or optimization problems. These problems can be said to be the mathematics of the design act itself.

The purpose of this research group is to study the theory and analysis methods for determining shapes and materials so that phenomena modeled by partial differential equations etc. can approach desired phenomena.

In order to achieve this goal, this study group provides a forum for theorists and practitioners to cooperate and share their wisdom. As a means of cooperation, we will hold research meetings, provide tutorials on inverse problems or optimization problems, introduce research results, and provide topics related to product design issues. In addition, we will plan organized sessions at the annual meeting and joint presentation of research groups.

We held the 1st study group preparatory meeting "Shape optimization and mathematics", and decided to take the application procedure as a study group because there were many people who wished to continue.

Date and time Friday, February 25, 2005 13:30 - 17:00

Venue Nagoya University Graduate School of Information Science Building 1F Lecture Room 1

25 participants (including 15 from industry)

topic

Overview of Shape Optimization, Introduction to Shape Optimization, Hideyuki Azegami

Shape Optimization of Flow Field, Junichi Matsumoto

Implementation of Shape Optimization in Structural Field -Current Situation and Issues-, Kenzen Takeuchi

As a result of exchanging opinions on how to proceed in the future, we decided that this study group would be a place for theorists and practitioners to interact on topics focused on mathematics required in design, including morphology/shape creation and inverse problems. consent was obtained.

Organize research meetings or OS several times a year.

At the research meeting, we ask that you provide topics that include tutorials, introductions to advanced research, and case studies.