Numerical verification of solutions for parabolic problems based on the finite element method

2020 Fiscal Year Final Research Report

• Project/Area Number: 18K03440
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 12040:Applied mathematics and statistics-related
• Research Institution: Nakamura Gakuen University Junior College
• Principal Investigator: Hashimoto Kouji 中村学園大学短期大学部, 幼児保育学科, 准教授 (40455093)
• Project Period (FY): 2018-04-01 – 2021-03-31
• Keywords: 数値的検証法 / 発展方程式

Outline of Final Research Achievements

Using the full-descrete finite element scheme which is satisfied the numerical stability, we presented the numerical verification method for solutions of nonlinear parabolic problems.

Free Research Field

数値解析学

Academic Significance and Societal Importance of the Research Achievements

これまでに提案されていなかった一般的な数値計算法である有限要素法を基盤とする発展方程式の解軌道に対する数値的検証法の構築により、発展方程式に対する新たな数値解法を提案することができた。