# Postprocessing of a finite volume element method for semilinear parabolic problems

Min Yang; Chunjia Bi; Jiangguo Liu

ESAIM: Mathematical Modelling and Numerical Analysis (2009)

- Volume: 43, Issue: 5, page 957-971
- ISSN: 0764-583X

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topYang, Min, Bi, Chunjia, and Liu, Jiangguo. "Postprocessing of a finite volume element method for semilinear parabolic problems." ESAIM: Mathematical Modelling and Numerical Analysis 43.5 (2009): 957-971. <http://eudml.org/doc/250638>.

@article{Yang2009,

abstract = {
In this paper, we study a postprocessing procedure for improving
accuracy of the finite volume element approximations of semilinear
parabolic problems. The procedure amounts to solve a source problem
on a coarser grid and then solve a linear elliptic problem on a
finer grid after the time evolution is finished. We derive error
estimates in the L2 and H1 norms for the standard finite
volume element scheme and an improved error estimate in the H1
norm. Numerical results demonstrate the accuracy and efficiency of
the procedure.
},

author = {Yang, Min, Bi, Chunjia, Liu, Jiangguo},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Error estimates; finite volume elements; postprocessing; semilinear parabolic problems; error estimates; finite volume element method; initial boundary value problem; numerical experiments},

language = {eng},

month = {6},

number = {5},

pages = {957-971},

publisher = {EDP Sciences},

title = {Postprocessing of a finite volume element method for semilinear parabolic problems},

url = {http://eudml.org/doc/250638},

volume = {43},

year = {2009},

}

TY - JOUR

AU - Yang, Min

AU - Bi, Chunjia

AU - Liu, Jiangguo

TI - Postprocessing of a finite volume element method for semilinear parabolic problems

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2009/6//

PB - EDP Sciences

VL - 43

IS - 5

SP - 957

EP - 971

AB -
In this paper, we study a postprocessing procedure for improving
accuracy of the finite volume element approximations of semilinear
parabolic problems. The procedure amounts to solve a source problem
on a coarser grid and then solve a linear elliptic problem on a
finer grid after the time evolution is finished. We derive error
estimates in the L2 and H1 norms for the standard finite
volume element scheme and an improved error estimate in the H1
norm. Numerical results demonstrate the accuracy and efficiency of
the procedure.

LA - eng

KW - Error estimates; finite volume elements; postprocessing; semilinear parabolic problems; error estimates; finite volume element method; initial boundary value problem; numerical experiments

UR - http://eudml.org/doc/250638

ER -

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