Error Estimates for an LDG Method Applied to Signorini Type Problems

被引：14

作者：

Bustinza, Rommel ^{[1
,2
]}

Sayas, Francisco-Javier ^{[3
,4
]}

机构：

[1] Univ Concepcion, CI2MA, Concepcion, Chile

[2] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile

[3] Univ Zaragoza, CPS, Dep Matemat Aplicada, Zaragoza 50018, Spain

[4] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2012年 / 52卷 / 02期

关键词：

Local discontinuous Galerkin; Signorini condition; Variational inequality; DISCONTINUOUS GALERKIN METHOD;

D O I：

10.1007/s10915-011-9548-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose and analyze a Local Discontinuous Galerkin method for an elliptic variational inequality of the first kind that corresponds to a Poisson equation with Signorini type condition on part of the boundary. The method uses piecewise polynomials of degree one for the field variable and of degree zero or one for the approximation of its gradient. We show optimal convergence for the method and illustrate it with some numerical experiments.

引用

页码：322 / 339

页数：18

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