The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type
Applications of Mathematics, Tome 36 (1991) no. 2, pp. 123-133
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
In this paper we first study the stability of Ritz-Volterra projection (see below) and its maximum norm estimates, and then we use these results to derive some $L^\infty$ error estimates for finite element methods for parabolic integro-differential equations.
DOI :
10.21136/AM.1991.104449
Classification :
45K05, 65M60, 65N30, 65R20
Keywords: Ritz-Volterra projection; stability; finite element; error estimates; initial- boundary-value problem; parabolic Volterra integro-differential equation
Keywords: Ritz-Volterra projection; stability; finite element; error estimates; initial- boundary-value problem; parabolic Volterra integro-differential equation
@article{10_21136_AM_1991_104449,
author = {Lin, Yanping and Zhang, Tie},
title = {The stability of {Ritz-Volterra} projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type},
journal = {Applications of Mathematics},
pages = {123--133},
publisher = {mathdoc},
volume = {36},
number = {2},
year = {1991},
doi = {10.21136/AM.1991.104449},
mrnumber = {1097696},
zbl = {0732.65122},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104449/}
}
TY - JOUR AU - Lin, Yanping AU - Zhang, Tie TI - The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type JO - Applications of Mathematics PY - 1991 SP - 123 EP - 133 VL - 36 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104449/ DO - 10.21136/AM.1991.104449 LA - en ID - 10_21136_AM_1991_104449 ER -
%0 Journal Article %A Lin, Yanping %A Zhang, Tie %T The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type %J Applications of Mathematics %D 1991 %P 123-133 %V 36 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104449/ %R 10.21136/AM.1991.104449 %G en %F 10_21136_AM_1991_104449
Lin, Yanping; Zhang, Tie. The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type. Applications of Mathematics, Tome 36 (1991) no. 2, pp. 123-133. doi: 10.21136/AM.1991.104449
Cité par Sources :