A local discontinuous Galerkin approximation for systems with p-structure

被引：22

作者：

Diening, Lars ^{[1
]}

Kroener, Dietmar ^{[2
]}

Ruzicka, Michael ^{[2
]}

Toulopoulos, Ioannis ^{[2
]}

机构：

[1] Ludwig Maximilians Univ Munchen, Inst Math, Theresienstr 39, D-80333 Munich, Germany

[2] Univ Freiburg, Dept Appl Math, D-79104 Freiburg, Germany

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2014年 / 34卷 / 04期

关键词：

discontinuous Galerkin; error bounds; degenerate elliptic equations; DG spaces; FINITE-ELEMENT APPROXIMATION; SOBOLEV SPACES; INTERPOLATION;

D O I：

10.1093/imanum/drt040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we propose a local discontinuous Galerkin (LDG) approximation for systems with p-structure. We discuss appropriate DG spaces and numerical fluxes for the problem. Based on the primal formulation, we show stability (a priori estimates) of the method. We derive error estimates, which are optimal for linear ansatz functions. Moreover, we prove new functional analytic tools for the DG setting.

引用

页码：1447 / 1488

页数：42

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