典型文献
A Compatible Embedded-Hybridized Discontinuous Galerkin Method for the Stokes-Darcy-Transport Problem
文献摘要：
We present a stability and error analysis of an embedded-hybridized discontinuous Galerkin(EDG-HDG)finite element method for coupled Stokes-Darcy flow and transport.The flow problem,governed by the Stokes-Darcy equations,is discretized by a recently introduced exactly mass conserving EDG-HDG method while an embedded discontinuous Galerkin(EDG)method is used to discretize the transport equation.We show that the coupled flow and transport discretization are compatible and stable.Furthermore,we show the existence and uniqueness of the semi-discrete transport problem and develop optimal a priori error estimates.We provide numerical examples illustrating the theoretical results.In particu-lar,we compare the compatible EDG-HDG discretization to a discretization of the coupled Stokes-Darcy and transport problem that is not compatible.We demonstrate that where the incompatible discretization may result in spurious oscillations in the solution to the trans-port problem,the compatible discretization is free of oscillations.An additional numerical example with realistic parameters is also presented.
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作者姓名：
Aycil Cesmelioglu;Sander Rhebergen
作者机构：
Department of Mathematics and Statistics,Oakland University,Rochester,MI 48309,USA;Department of Applied Mathematics,University of Waterloo,Waterloo,ON N2L 3G1,Canada
文献出处：
引用格式：
[1]Aycil Cesmelioglu;Sander Rhebergen-.A Compatible Embedded-Hybridized Discontinuous Galerkin Method for the Stokes-Darcy-Transport Problem)[J].应用数学与计算数学学报,2022(01):293-318
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Compatible,Embedded,Hybridized,Discontinuous,Galerkin,Method,Stokes,Darcy,Transport,Problem,We,stability,error,analysis,embedded,hybridized,discontinuous,EDG,HDG,finite,element,method,coupled,flow,transport,problem,governed,by,equations,discretized,recently,introduced,exactly,mass,conserving,while,used,show,that,discretization,stable,Furthermore,we,existence,uniqueness,semi,discrete,develop,optimal,priori,estimates,provide,numerical,examples,illustrating,theoretical,results,In,particu,lar,compare,not,demonstrate,where,incompatible,may,spurious,oscillations,solution,free,An,additional,realistic,parameters,also,presented
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0.507758
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