Geodesic
Galerkin time-stepping methods for nonlinear parabolic equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 2, pp. 261-289 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We consider discontinuous as well as continuous Galerkin methods for the time discretization of a class of nonlinear parabolic equations. We show existence and local uniqueness and derive optimal order optimal regularity a priori error estimates. We establish the results in an abstract Hilbert space setting and apply them to a quasilinear parabolic equation.

DOI : 10.1051/m2an:2004013
Classification : 65M15, 65M50
Keywords: nonlinear parabolic equations, local Lipschitz condition, continuous and discontinuous Galerkin methods, a priori error analysis, monotone operators 
@article{M2AN_2004__38_2_261_0,
     author = {Akrivis, Georgios and Makridakis, Charalambos},
     title = {Galerkin time-stepping methods for nonlinear parabolic equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {261--289},
     year = {2004},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {2},
     doi = {10.1051/m2an:2004013},
     mrnumber = {2069147},
     zbl = {1085.65094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004013/}
}
TY  - JOUR
AU  - Akrivis, Georgios
AU  - Makridakis, Charalambos
TI  - Galerkin time-stepping methods for nonlinear parabolic equations
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2004
SP  - 261
EP  - 289
VL  - 38
IS  - 2
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004013/
DO  - 10.1051/m2an:2004013
LA  - en
ID  - M2AN_2004__38_2_261_0
ER  - 
%0 Journal Article
%A Akrivis, Georgios
%A Makridakis, Charalambos
%T Galerkin time-stepping methods for nonlinear parabolic equations
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2004
%P 261-289
%V 38
%N 2
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004013/
%R 10.1051/m2an:2004013
%G en
%F M2AN_2004__38_2_261_0
Akrivis, Georgios; Makridakis, Charalambos. Galerkin time-stepping methods for nonlinear parabolic equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 2, pp. 261-289. doi: 10.1051/m2an:2004013

Cité par Sources :