|Table of Contents|

Mixed Virtual Element Methods for Parabolic Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2019年04期
Page:
25-30
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
Mixed Virtual Element Methods for Parabolic Equations
Author(s):
Guo Hairong1; Wang Feng2
(1.Nanjing Vocational College of Finance and Economics,Nanjing 210029,China)(2.School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China)
Keywords:
virtual element; mixed finite element; parabolic equation
PACS:
O214.82
DOI:
10.3969/j.issn.1001-4616.2019.04.004
Abstract:
Virtual elements are defined on arbitrary polygonal or polyhedral grids. In this paper,mixed virtual elements are proposed for parabolic equations. We present a priori error estimates,which are verified by some numerical experiments.

References:

[1] MU L,WANG J,XIU YE. Weak Galerkin finite element methods on polytopal meshes[J]. International journal of numerical analysis & modeling,2015,12(1):31-53.
[2]DI PIETRO D,ERN A. A hybrid high-order locking-free method for linear elasticity on general meshes[J]. Computer methods in applied mechanics and engineering,2015,283:1-21.
[3]BEIR?O da V L,BREZZI F,CANGIANI A,et al. Basic principle of virtual element methods[J]. Mathematical models and methods in applied sciences,2013,23(1):199-214.
[4]VACCA G,BEIR?O da V L. Virtual element methods for parabolic problems on polygonal meshes[J]. Numerical methods for partial differential equations,2015,31(6):2110-2134.
[5]BREZZI F,FALK R S,MARINI L D. Basic principles of mixed virtual element methods[J]. ESAIM:mathematical modelling and numerical analysis,2014,48(4):1227-1240.
[6]BEIR?O da VEIGA L,BREZZI F,MARINI L D,et al. H(div)and H(curl)-conforming virtual element methods[J]. Numerische mathematik,2016,133(2):303-33.
[7]CHEN L,WANG F. A divergence free weak virtual element method for the Stokes problem on polytopal meshes[J]. Journal of scientific computing,2019,78(2):864-886.
[8]ERN A,GUERMOND J. Theory and Practice of Finite Elements[M]. Volume 159 of Applied Mathematical series. New York:Springer,2004.

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Last Update: 2019-12-31