ADAPTIVE VIRTUAL ELEMENT METHOD FOR CONVECTION DOMINATED DIFFUSION EQUATIONS  

作　　者：Qiming Wang Zhaojie Zhou 

机构地区：[1]School of Mathematics and Statistics,Shandong Normal University,Jinan 250358,China

出　　处：《Journal of Computational Mathematics》2025年第1期174-202,共29页计算数学(英文)

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11971276,11301311);by the Natural Science Foundation of Shandong Province(Grant No.ZR2016JL004).

摘　　要：In this paper,a robust residual-based a posteriori estimate is discussed for the Streamline Upwind/Petrov Galerkin(SUPG)virtual element method(VEM)discretization of convection dominated diffusion equation.A global upper bound and a local lower bound for the a posteriori error estimates are derived in the natural SUPG norm,where the global upper estimate relies on some hypotheses about the interpolation errors and SUPG virtual element discretization errors.Based on the Dörfler’s marking strategy,adaptive VEM algorithm drived by the error estimators is used to solve the problem on general polygonal meshes.Numerical experiments show the robustness of the a posteriori error estimates.

关 键 词：A posteriori estimate SUPG virtual element method Convection dominated diffusion equation Adaptive VEM algorithm 

分 类 号：O17[理学—数学]