An improvement of the theorem of a posteriori estimates for inverse elliptic operators

スポンサーリンク

概要

• 論文の詳細を見る

• This paper presents a numerical method to verify the invertibility of a linear elliptic operator. The invertibility of a linearized operator is useful information when verifying the existence of a solution for the corresponding nonlinear elliptic partial differential equations (PDEs). The proposed method is proved on the function spaces more suitable than previous methods. The a posteriori estimate, which is expected to converge to the exact operator norm of the inverse elliptic operators, is obtained by less computational cost than existing methods.

• The Institute of Electronics, Information and Communication Engineersの論文

著者

• WATANABE Yoshitaka

  Research Institute for Information Technology, Kyushu University

• Watanabe Yoshitaka

  Research Institute For Information Technology Kyushu University

• Kinoshita Takehiko

  Center for the Promotion of Interdisciplinary Education and Research, Kyoto University

• Nakao Mitsuhiro

  Sasebo National College of Technology

関連論文

• Numerical Verification Method of Solutions for Elliptic Equations and Its Application to the Rayleigh-Benard Problem
• A Numerical Verification Method for Two-Coupled Elliptic Partial Differential Equations
• A computer-assisted stability proof for the Orr-Sommerfeld problem with Poiseuille flow
• Some remarks on the instability of approximate solutions for ODEs
• A simple numerical verification method for differential equations based on infinite dimensional sequential iteration
• An improvement of the theorem of a posteriori estimates for inverse elliptic operators

スポンサーリンク