Finite element methods for second order linear hyperbolic interface problems

被引：5

作者：

Deka, Bhupen ^{[1
]}

Sinha, Rajen Kumar ^{[2
]}

机构：

[1] Tezpur Univ, Dept Math Sci, Tezpur 784028, Assam, India

[2] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, Assam, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 22期

关键词：

Hyperbolic; Interface; Discontinuous coefficients; Finite element approximation; Semidiscrete and fully discrete schemes; Optimal error estimates; ELLIPTIC-EQUATIONS; CONVERGENCE;

D O I：

10.1016/j.amc.2012.04.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study finite element methods and their convergence for hyperbolic interface problems. Both semidiscrete and fully discrete schemes are analyzed. Optimal a priori error estimates in the L-2 and H-1 norms are derived for a finite element discretization where interface triangles are assumed to be curved triangles instead of straight triangles. The interfaces and boundaries of the domains are assumed to be smooth for our purpose. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：10922 / 10933

页数：12

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