Geodesic
Composite grid finite element method: Implementation and iterative solution with inexact subproblems
Applications of Mathematics, Tome 47 (2002) no. 2, pp. 83-100

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

This paper concerns the composite grid finite element (FE) method for solving boundary value problems in the cases which require local grid refinement for enhancing the approximating properties of the corresponding FE space. A special interest is given to iterative methods based on natural decomposition of the space of unknowns and to the implementation of both the composite grid FEM and the iterative procedures for its solution. The implementation is important for gaining all benefits of the described methods. We also discuss the case of inexact subproblems, which can frequently arise in the course of hierarchical modelling.
DOI : 10.1023/A:1021776900481
Classification : 65F10, 65N22, 65N30, 65N55
Keywords: finite element method; composite grids; iterative solution; computer implementation; inexact subproblems; numerical experiments 
@article{10_1023_A_1021776900481,
     author = {Blaheta, R. and Byczanski, P. and Kohut, R.},
     title = {Composite grid finite element method: {Implementation} and iterative solution with inexact subproblems},
     journal = {Applications of Mathematics},
     pages = {83--100},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2002},
     doi = {10.1023/A:1021776900481},
     mrnumber = {1894662},
     zbl = {1090.65546},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1021776900481/}
}
TY  - JOUR
AU  - Blaheta, R.
AU  - Byczanski, P.
AU  - Kohut, R.
TI  - Composite grid finite element method: Implementation and iterative solution with inexact subproblems
JO  - Applications of Mathematics
PY  - 2002
SP  - 83
EP  - 100
VL  - 47
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1021776900481/
DO  - 10.1023/A:1021776900481
LA  - en
ID  - 10_1023_A_1021776900481
ER  - 
%0 Journal Article
%A Blaheta, R.
%A Byczanski, P.
%A Kohut, R.
%T Composite grid finite element method: Implementation and iterative solution with inexact subproblems
%J Applications of Mathematics
%D 2002
%P 83-100
%V 47
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1021776900481/
%R 10.1023/A:1021776900481
%G en
%F 10_1023_A_1021776900481
Blaheta, R.; Byczanski, P.; Kohut, R. Composite grid finite element method: Implementation and iterative solution with inexact subproblems. Applications of Mathematics, Tome 47 (2002) no. 2, pp. 83-100. doi: 10.1023/A:1021776900481

Cité par Sources :