Composite grid finite element method: Implementation and iterative solution with inexact subproblems
Radim Blaheta; P. Byczanski; Roman Kohut
Applications of Mathematics (2002)
- Volume: 47, Issue: 2, page 83-100
- ISSN: 0862-7940
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topBlaheta, Radim, Byczanski, P., and Kohut, Roman. "Composite grid finite element method: Implementation and iterative solution with inexact subproblems." Applications of Mathematics 47.2 (2002): 83-100. <http://eudml.org/doc/33105>.
@article{Blaheta2002,
abstract = {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.},
author = {Blaheta, Radim, Byczanski, P., Kohut, Roman},
journal = {Applications of Mathematics},
keywords = {finite element method; composite grids; iterative solution; computer implementation; inexact subproblems; numerical experiments; finite element method; composite grids; iterative solution; computer implementation; inexact subproblems; numerical experiments},
language = {eng},
number = {2},
pages = {83-100},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Composite grid finite element method: Implementation and iterative solution with inexact subproblems},
url = {http://eudml.org/doc/33105},
volume = {47},
year = {2002},
}
TY - JOUR
AU - Blaheta, Radim
AU - Byczanski, P.
AU - Kohut, Roman
TI - Composite grid finite element method: Implementation and iterative solution with inexact subproblems
JO - Applications of Mathematics
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 2
SP - 83
EP - 100
AB - 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.
LA - eng
KW - finite element method; composite grids; iterative solution; computer implementation; inexact subproblems; numerical experiments; finite element method; composite grids; iterative solution; computer implementation; inexact subproblems; numerical experiments
UR - http://eudml.org/doc/33105
ER -
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