A priori L∞ (L2) error estimates for finite element approximations to the wave equation with interface

被引：10

作者：

Deka, Bhupen ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, North Guwahati 781039, India

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 115卷

关键词：

Wave equation; Interface; Optimal error estimates; Semidiscrete scheme; Implicit time stepping; 2ND-ORDER HYPERBOLIC-EQUATIONS; GALERKIN METHODS; ELASTIC-WAVES; CONVERGENCE;

D O I：

10.1016/j.apnum.2017.01.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article a fitted finite element method is proposed and analyzed for wave equation with discontinuous coefficients. Typical semidiscrete and an implicit fully discrete schemes are presented and analyzed. Optimal a priori error estimates for both semidiscrete and fully discrete schemes are proved in L-infinity (L-2) norm. The convergence analysis relies heavily on time reconstructions of continuous and discrete solutions, in conjunction with some known results on elliptic interface problems. Finally, a numerical experiment is presented to verify our theoretical result. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：142 / 159

页数：18

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