Finite element approximation of spectral problems with Neumann boundary conditions on curved domains

被引：0

作者：

Hernández, E ^{[1
]}

Rodríguez, R ^{[1
]}

机构：

[1] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile

来源：

MATHEMATICS OF COMPUTATION | 2003年 / 72卷 / 243期

关键词：

finite element spectral approximation; curved domains;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the finite element approximation of the spectral problem for the Laplace equation with Neumann boundary conditions on a curved nonconvex domain Omega. Convergence and optimal order error estimates are proved for standard piecewise linear continuous elements on a discrete polygonal domain Omega(h) not subset of Omega in the framework of the abstract spectral approximation theory.

引用

页码：1099 / 1115

页数：17

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