CONVERGENCE ANALYSIS OF SOME TENT-BASED SCHEMES FOR LINEAR HYPERBOLIC SYSTEMS

被引：4

作者：

Drake, Dow ^{[1
]}

Gopalakrishnan, Jay ^{[1
]}

Schoeberl, Joachim ^{[2
]}

Wintersteiger, Christoph ^{[2
]}

机构：

[1] Portland State Univ, Fariborz Maseeh Dept Math & Stat, POB 751, Portland, OR 97207 USA

[2] Tech Univ Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

来源：

MATHEMATICS OF COMPUTATION | 2022年 / 91卷 / 334期

关键词：

Spacetime; advancing front; tent pitching; causality; Friedrichs sys-tem; semidiscrete; stability; discontinuous Galerkin; Taylor timestepping; MTP scheme; SAT timestepping; DISCONTINUOUS GALERKIN METHOD; RUNGE-KUTTA SCHEMES;

D O I：

10.1090/mcom/3686

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Finite element methods for symmetric linear hyperbolic systems using unstructured advancing fronts (satisfying a causality condition) are considered in this work. Convergence results and error bounds are obtained for mapped tent pitching schemes made with standard discontinuous Galerkin discretizations for spatial approximation on mapped tents. Techniques to study semidiscretization on mapped tents, design fully discrete schemes, prove local error bounds, prove stability on spacetime fronts, and bound error propagated through unstructured layers are developed.

引用

页码：699 / 733

页数：35

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