典型文献
A Uniformly Robust Staggered DG Method for the Unsteady Darcy-Forchheimer-Brinkman Problem
文献摘要：
In this paper,we propose and analyze a uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem.Our formulation is based on velocity gradient-velocity-pressure and the resulting scheme can be flexibly applied to fairly general polygonal meshes.We relax the tangential continuity for velocity,which is the key ingredi-ent in achieving the uniform robustness.We present well-posedness and error analysis for both the semi-discrete scheme and the fully discrete scheme,and the theories indicate that the error estimates for velocity are independent of pressure.Several numerical experiments are presented to confirm the theoretical findings.
文献关键词：
中图分类号：
作者姓名：
Lina Zhao;Ming Fai Lam;Eric Chung
作者机构：
Department of Mathematics,The Chinese University of Hong Kong,Hong Kong SAR,China
文献出处：
引用格式：
[1]Lina Zhao;Ming Fai Lam;Eric Chung-.A Uniformly Robust Staggered DG Method for the Unsteady Darcy-Forchheimer-Brinkman Problem)[J].应用数学与计算数学学报,2022(01):205-226
A类：
ingredi
B类：
Uniformly,Robust,Staggered,DG,Method,Unsteady,Darcy,Forchheimer,Brinkman,Problem,In,this,paper,propose,analyze,uniformly,staggered,method,unsteady,problem,Our,formulation,velocity,gradient,pressure,resulting,scheme,can,be,flexibly,applied,fairly,general,polygonal,meshes,We,relax,tangential,continuity,which,key,achieving,robustness,well,posedness,error,analysis,both,semi,discrete,fully,theories,indicate,that,estimates,are,independent,Several,numerical,experiments,presented,confirm,theoretical,findings
AB值：
0.658641
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