Discontinuous Galerkin methods for solving a hyperbolic inequality

被引：1

作者：

Wang, Fei ^{[1
]}

Han, Weimin ^{[2
,3
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Sci Bldg,28 Xianning West Rd, Xian 710049, Shaanxi, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[3] Univ Iowa, Program Appl Math & Computat Sci, Iowa City, IA USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 35卷 / 03期

基金：

中国国家自然科学基金;

关键词：

discontinuous Galerkin methods; hyperbolic variational inequality; optimal order error estimate; FINITE-ELEMENT-METHOD; INTERIOR PENALTY METHOD; VARIATIONAL-INEQUALITIES; GRADIENT PLASTICITY; HP-VERSION; APPROXIMATION; FORMULATION;

D O I：

10.1002/num.22330

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study spatially semi-discrete and fully discrete schemes to numerically solve a hyperbolic variational inequality, with discontinuous Galerkin (DG) discretization in space and finite difference discretization in time. Under appropriate regularity assumptions on the solution, a unified error analysis is established for four DG schemes, which reaches the optimal convergence order for linear elements. A numerical example is presented, and the numerical results confirm the theoretical error estimates.

引用

页码：894 / 915

页数：22

共 54 条

[1] Finite difference scheme for variational inequalities [J].