# A finite element method for domain decomposition with non-matching grids

Roland Becker; Peter Hansbo; Rolf Stenberg

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 37, Issue: 2, page 209-225
- ISSN: 0764-583X

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topBecker, Roland, Hansbo, Peter, and Stenberg, Rolf. "A finite element method for domain decomposition with non-matching grids." ESAIM: Mathematical Modelling and Numerical Analysis 37.2 (2010): 209-225. <http://eudml.org/doc/194159>.

@article{Becker2010,

abstract = {
In this note, we propose and analyse a method for handling
interfaces between non-matching grids based on an approach
suggested by Nitsche (1971) for the approximation of
Dirichlet boundary conditions. The exposition is limited to
self-adjoint elliptic problems, using Poisson's equation as a
model. A priori and a posteriori error estimates are given. Some
numerical results are included.
},

author = {Becker, Roland, Hansbo, Peter, Stenberg, Rolf},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Nitsche's method; domain decomposition; non-matching grids.; non-matching grids; Poisson problem; error estimates; numerical results; finite element method},

language = {eng},

month = {3},

number = {2},

pages = {209-225},

publisher = {EDP Sciences},

title = {A finite element method for domain decomposition with non-matching grids},

url = {http://eudml.org/doc/194159},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Becker, Roland

AU - Hansbo, Peter

AU - Stenberg, Rolf

TI - A finite element method for domain decomposition with non-matching grids

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 37

IS - 2

SP - 209

EP - 225

AB -
In this note, we propose and analyse a method for handling
interfaces between non-matching grids based on an approach
suggested by Nitsche (1971) for the approximation of
Dirichlet boundary conditions. The exposition is limited to
self-adjoint elliptic problems, using Poisson's equation as a
model. A priori and a posteriori error estimates are given. Some
numerical results are included.

LA - eng

KW - Nitsche's method; domain decomposition; non-matching grids.; non-matching grids; Poisson problem; error estimates; numerical results; finite element method

UR - http://eudml.org/doc/194159

ER -

## References

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