A Priori Error Analysis of a Stabilized Finite-Element Scheme for an Elliptic Equation with Time-Dependent Boundary Conditions

被引：0
|
作者：
Abou Jmeih, N. [1 ]
El Arwadi, T. [1 ]
Dib, S. [1 ]
机构：
[1] Beirut Arab Univ, Fac Sci, Dept Math, Beirut, Lebanon
来源：
NUMERICAL ANALYSIS AND APPLICATIONS | 2021年 / 14卷 / 04期
关键词：
finite element scheme; a priori error analysis; dynamical boundary conditions; Dirichlet-to-Neumann semigroup;
D O I：
10.1134/S1995423921040017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study aims to implement a numerical scheme in order to find the eigenvalues of the Dirichlet-to-Neumann semigroup. This can help to check the semigroup positivity for non-circular domains. This generalized scheme is analyzed after study of the case of the unit ball, in which an explicit representation for the semigroup was obtained by Peter Lax. After analyzing the generalized scheme, we checked its convergence through numerical simulations that were performed with the use of the FreeFem++ software.
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页码：297 / 315
页数：19
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