Finite element approximation of spectral acoustic problems on curved domains

被引：8
作者：
Hernández, E
Rodríguez, R
机构：
[1] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile
[2] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile
来源：
NUMERISCHE MATHEMATIK | 2004年 / 97卷 / 01期
关键词：
D O I：
10.1007/s00211-003-0501-x
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 displacement formulation of the spectral acoustic problem on a curved non convex two-dimensional domain Omega. Convergence and error estimates are proved for Raviart-Thomas elements on a discrete polygonal domain Omega(h)Omega in the framework of the abstract spectral approximation theory. Similar results have been previously proved only for polygonal domains. Numerical tests confirming the theoretical results are reported.
引用
收藏
页码：131 / 158
页数：28
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