A finite element method on composite grids based on Nitsche's method
Anita Hansbo; Peter Hansbo; Mats G. Larson
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 37, Issue: 3, page 495-514
- ISSN: 0764-583X
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topHansbo, Anita, Hansbo, Peter, and Larson, Mats G.. "A finite element method on composite grids based on Nitsche's method." ESAIM: Mathematical Modelling and Numerical Analysis 37.3 (2010): 495-514. <http://eudml.org/doc/194175>.
@article{Hansbo2010,
abstract = {
In this paper we propose a finite element method for the approximation of
second order elliptic problems on composite grids. The method is
based on continuous piecewise polynomial approximation on each
grid and weak enforcement of the proper continuity at an
artificial interface defined by edges (or faces) of one the grids.
We prove optimal order a priori and energy type a posteriori error estimates in 2 and 3 space dimensions,
and present some numerical examples.
},
author = {Hansbo, Anita, Hansbo, Peter, Larson, Mats G.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Nitsche's method; overlapping grids.; finite element method; overlapping grids; penality method; Poisson equation},
language = {eng},
month = {3},
number = {3},
pages = {495-514},
publisher = {EDP Sciences},
title = {A finite element method on composite grids based on Nitsche's method},
url = {http://eudml.org/doc/194175},
volume = {37},
year = {2010},
}
TY - JOUR
AU - Hansbo, Anita
AU - Hansbo, Peter
AU - Larson, Mats G.
TI - A finite element method on composite grids based on Nitsche's method
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 3
SP - 495
EP - 514
AB -
In this paper we propose a finite element method for the approximation of
second order elliptic problems on composite grids. The method is
based on continuous piecewise polynomial approximation on each
grid and weak enforcement of the proper continuity at an
artificial interface defined by edges (or faces) of one the grids.
We prove optimal order a priori and energy type a posteriori error estimates in 2 and 3 space dimensions,
and present some numerical examples.
LA - eng
KW - Nitsche's method; overlapping grids.; finite element method; overlapping grids; penality method; Poisson equation
UR - http://eudml.org/doc/194175
ER -
References
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