Explicit Numerically Implementable Formulas for Poincare-Steklov Operators

被引：0
|
作者：
Demidov, A. S. [1 ]
Samokhin, A. S. [2 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow 119991, Russia
[2] Russian Acad Sci, Inst Control Sci, Moscow 117997, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 02期
关键词：
Poincare-Steklov operators; univalent isometric mapping of an analytic curve; explicit numerically implementable formulas;
D O I：
10.1134/S0965542524020040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper presents explicit numerically implementable formulas for the Poincare-Steklov operators, such as the Dirichlet-Neumann, Dirichlet-Robin, Robin1-Robin2, and Grinberg-Mayergoiz operators, related to the two-dimensional Laplace equation. These formulas are based on the lemma about a univalent isometric mapping of a closed analytic curve onto a circle. Numerical results for domains with very complex geometries were obtained for several test harmonic functions for the Dirichlet-Neumann and Dirichlet-Robin operators.
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页码：237 / 247
页数：11
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