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A Mixed Domain Decomposition Approach
2009This chapter is dedicated to Professor Pierre Ladevèze on the occasion of his 60th birthday. As two former students of Pierre Ladevèze, the authors have both had the opportunity to work with domain decomposition methods in their research and teaching activities. Pierre initiated a mixed domain decomposition method within the framework of the LArge Time
Champaney, Laurent, Dureisseix, David
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ADI method – Domain decomposition
Applied Numerical Mathematics, 2006A domain decomposition algorithm which is based on an implicit prediction and fully implicit scheme for the interior values, for solving parabolic partial differential equations, is presented. It is shown that this algorithm without the correction procedure is unconditionally stable.
Jun, Younbae, Mai, Tsun-Zee
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A domain decomposition method for domains with holes using a complementary decomposition
Computer Methods in Applied Mechanics and Engineering, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mair, M., Wohlmuth, B. I.
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Domain decomposition on parallel computers
IMPACT of Computing in Science and Engineering, 1989Abstract We consider the application of domain decomposition techniques to the solution of sparse linear systems arising from implicit PDE discretizations on parallel computers. Representatives of two popular MIMD architectures, message passing (the Intel iPSC/2-SX) and shared memory (the Encore Multimax 320), are employed.
William Gropp, David E. Keyes
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A domain decomposition solver for ferromagnetism
Mathematics and Computers in Simulation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Comparative efficiencies of domain decompositions
Parallel Computing, 1995Abstract We identify and compare two different classes of domain decomposition algorithms suitable for grid-based simulation programs, such as those commonly found in finite element and finite volume codes. The domain decomposition schemes are either, logical methods that only account for the connectedness of the grid, or physical methods that take ...
Nick Floros +4 more
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DOMAIN DECOMPOSITION WITH BEM AND FEM
International Journal for Numerical Methods in Engineering, 1997A method is constructed where we have coupling of the two different title methods in a weak form. As a result, we can analyse a given structure with two different grids independent of each other. On this account, we see that the advantage of the proposed method is in its ability to couple BEM and FEM. The construction of the numerical algorithm depends
Schnack, Eckart, Tuerke, Karsten
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Subspace Decomposition In The Frequency Domain
2017Proceedings Of The 7Th Graz Brain-Computer Interface Conference 2017, From Vision To Reality, September 18-22, 2017 Graz University Of Technology ...
Sebastián Castaño-Candamil +1 more
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Domain decomposition and skeleton programming with OCamlP3l
Parallel Computing, 2006Domain decomposition methods are numerically efficient for the simulation of large scale phenomena; in addition, these algorithms are naturally parallel and feature a good localization of data. Skeleton programming is a high level method for specifying the parallel structure of a program.
Clément, François +4 more
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Domain Decomposition with Local Mesh Refinement
SIAM Journal on Scientific and Statistical Computing, 1992The authors present a preconditioned Krylov iterative algorithm which can be used to solve systems of linear equations arising from the discretization of partial differential equations. The main feature of their method lies in the combined admissibility of domain decomposition and local mesh refinements. By way of illustration, the method is applied to
William D. Gropp, David E. Keyes
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