典型文献
Goal-Oriented Anisotropic hp-Adaptive Discontinuous Galerkin Method for the Euler Equations
文献摘要：
We deal with the numerical solution of the compressible Euler equations with the aid of the discontinuous Galerkin(DG)method with focus on the goal-oriented error estimates and adaptivity.We analyse the adjoint consistency of the DG scheme where the adjoint problem is not formulated by the differentiation of the DG form and the target functional but using a suitable linearization of the nonlinear forms.Furthermore,we present the goal-oriented anisotropic hp-mesh adaptation method for the Euler equations.The theoretical results are supported by numerical experiments.
文献关键词：
中图分类号：
作者姓名：
Vít Dolej?í;Filip Roskovec
作者机构：
Faculty of Mathematics and Physics,Charles University,Sokolovská 83,186 75 Prague,Czech Republic
文献出处：
引用格式：
[1]Vít Dolej?í;Filip Roskovec-.Goal-Oriented Anisotropic hp-Adaptive Discontinuous Galerkin Method for the Euler Equations)[J].应用数学与计算数学学报,2022(01):143-179
A类：
B类：
Goal,Oriented,Anisotropic,hp,Adaptive,Discontinuous,Galerkin,Method,Euler,Equations,We,deal,numerical,solution,compressible,equations,aid,discontinuous,DG,method,focus,goal,oriented,error,estimates,adaptivity,analyse,adjoint,consistency,scheme,where,problem,not,formulated,by,differentiation,target,functional,but,using,suitable,linearization,nonlinear,forms,Furthermore,we,present,anisotropic,mesh,adaptation,theoretical,results,are,supported,experiments
AB值：
0.667764
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