典型文献
A Space-Time Interior Penalty Discontinuous Galerkin Method for the Wave Equation
文献摘要：
A new higher-order accurate space-time discontinuous Galerkin(DG)method using the interior penalty flux and discontinuous basis functions,both in space and in time,is pre-sented and fully analyzed for the second-order scalar wave equation.Special attention is given to the definition of the numerical fluxes since they are crucial for the stability and accuracy of the space-time DG method.The theoretical analysis shows that the DG discre-tization is stable and converges in a DG-norm on general unstructured and locally refined meshes,including local refinement in time.The space-time interior penalty DG discre-tization does not have a CFL-type restriction for stability.Optimal order of accuracy is obtained in the DG-norm if the mesh size h and the time step △t satisfy h=C△t,with C a positive constant.The optimal order of accuracy of the space-time DG discretization in the DG-norm is confirmed by calculations on several model problems.These calculations also show that for pth-order tensor product basis functions the convergence rate in the L∞ and L2-norms is order p+1 for polynomial orders p=1 and p=3 and order p for polynomial order p=2.
文献关键词：
中图分类号：
作者姓名：
Poorvi Shukla;J.J.W.van der Vegt
作者机构：
Department of Applied Mathematics,University of Twente,P.O.Box 217,7500 AE Enschede,The Netherlands
文献出处：
引用格式：
[1]Poorvi Shukla;J.J.W.van der Vegt-.A Space-Time Interior Penalty Discontinuous Galerkin Method for the Wave Equation)[J].应用数学与计算数学学报,2022(03):904-944
A类：
discre,pth
B类：
Space,Time,Interior,Penalty,Discontinuous,Galerkin,Method,Wave,Equation,new,higher,accurate,space,discontinuous,DG,method,using,interior,penalty,basis,functions,both,pre,sented,fully,analyzed,second,scalar,wave,equation,Special,attention,given,definition,numerical,fluxes,since,they,are,crucial,stability,accuracy,theoretical,analysis,shows,that,stable,converges,general,unstructured,locally,refined,meshes,including,refinement,does,not,have,CFL,type,restriction,Optimal,obtained,if,size,step,satisfy,positive,constant,optimal,discretization,confirmed,by,calculations,several,model,problems,These,also,tensor,product,convergence,L2,norms,p+1,polynomial,orders
AB值：
0.527361
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
