Approximation of linear hyperbolic interface problems on finite element: Some new estimates

被引：2

作者：

Adewole, Matthew O. ^{[1
]}

机构：

[1] Univ Ibadan, Dept Math, Ibadan, Nigeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 349卷

关键词：

Hyperbolic interface; Fully discrete; Almost optimal; Discrete maximum principle; DOMAIN DECOMPOSITION; PARABOLIC PROBLEMS; GALERKIN METHODS; CONVERGENCE; SEMIDISCRETE; EQUATIONS; FEM;

D O I：

10.1016/j.amc.2018.12.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Finite element solution of a linear hyperbolic interface problem with time discretization based on 3-step implicit scheme is proposed. Quasi-uniform triangular elements are used for the spatial discretization. With low regularity assumption on the solution across the interface, the stability of the scheme is established and almost optimal convergence rates in L-2(Omega) and H-1(Omega) norms are obtained. In terms of matrices arising in the scheme, we show that the discrete solution satisfies the maximum principle under certain conditions on the mesh parameter h and time step k. Numerical experiments are presented to support the theoretical results. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：245 / 257

页数：13

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