A priori error estimates of Adams-Bashforth discontinuous Galerkin methods for scalar nonlinear conservation laws

被引：1

作者：

Puelz, Charles ^{[1
]}

Riviere, Beatrice ^{[1
]}

机构：

[1] Rice Univ, Dept Computat & Appl Math, 6100 Main MS-134, Houston, TX 77005 USA

来源：

JOURNAL OF NUMERICAL MATHEMATICS | 2018年 / 26卷 / 03期

基金：

美国国家科学基金会;

关键词：

discontinuous Galerkin; error estimates; hyperbolic conservation law; FINITE-ELEMENT-METHOD; BLOOD-FLOW; SMOOTH SOLUTIONS; SYMMETRIZABLE SYSTEMS; WAVE-PROPAGATION; NETWORK; 1-D;

D O I：

10.1515/jnma-2017-0011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show theoretical convergence of a second-order Adams-Bashforth discontinuous Galerkin method for approximating smooth solutions to scalar nonlinear conservation laws with E-fluxes. A priori error estimates are also derived for a first-order forward Euler discontinuous Galerkin method. Rates are optimal in time and suboptimal in space; they are valid under a CFL condition.

引用

页码：151 / 172

页数：22

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