[Date]:2023/01/21～2023/01/22

Fundamentals of Mathematical Science for Industrial Applications of Discrete Geometric Mechanics｜2022a028

Overview

• Type/Category: Grant for General Research-Short-term Joint Research
• Title of Research Project: Fundamentals of Mathematical Science for Industrial Applications of Discrete Geometric Mechanics
• Principal Investigator: Hirotoshi Kuroda(Department of Mathematics, Faculty of Science, Hokkaido University / Associate Professor)
• Research Period： January 21, 2023. – January 22, 2023
• Open to the Public： January 21, 2023. – January 22, 2023
• Details of the Research Plan: https://joint1.imi.kyushu-u.ac.jp/en_research_chooses/view/2022a028

Program

Jan. 21 (Sat.)

10:00-11:30
13:30-15:00
YAGUCHI, Takaharu (Kobe University)
Basic theory of the finite element method and the finite element exterior calculus

Abstract: Finite element exterior calculus is a framework for deriving finite element schemes for a certain class of elliptic partial differential equations. In particular, the stability and the consistency of the derived numerical methods are guaranteed using the Hodge theory. In this series of talks, an overview of this framework will be provided along with the basic theory of the finite element method.

Jan. 22 (Sun.)

10:00-11:30
13:30-15:00
YAGUCHI, Takaharu (Kobe University)
Basic theory of the finite element method and the finite element exterior calculus

15:15-17:15
FUKAGAWA, Hiroki (DeepFlow, Inc.)
Description of physical equations in differential form and simulations based on discrete differential forms

Abstract: Analytical mechanics can be expressed in differential forms and extended to dissipative systems. You can naturally transform the equations described in differential forms into discrete differential forms. We will show these procedures and simulations using this discretization.

Registration

Anyone can participate in this conference for free.
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