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Overlapping Domain Decomposition methods with distributed Lagrange multipliers
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R. H. W. Hoppe
Published/Copyright:
November 15, 2010
Abstract
In this paper, we consider an overlapping domain decomposition method for second order elliptic boundary value problems. The method is based on nonmatching simplicial triangulations of the subdomains and relies on an appropriate splitting of the variational formulation. The coupling conditions are taken care of by distributed Lagrange multipliers. The LBB condition is established and an efficient preconditioner is suggested.
Keywords:: Overlapping Domain Decomposition; distributed Lagrange multipliers; spectral equivalence; block diagonal preconditioning
Received: 2001-03-05
Revised: 2001-08-27
Published Online: 2010-11-15
Published in Print: 2001-December
© VSP 2001
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Articles in the same Issue
- A finite element problem issued from fictitious domain techniques
- Convergence of mimetic finite difference discretizations of the diffusion equation
- Overlapping Domain Decomposition methods with distributed Lagrange multipliers
- On the construction of a vertex space preconditioner for Morley element
- Error bounds for Finite Element solutions of elliptic variational inequalities of second kind
Keywords for this article
Overlapping Domain Decomposition;
distributed Lagrange multipliers;
spectral equivalence;
block diagonal preconditioning
Articles in the same Issue
- A finite element problem issued from fictitious domain techniques
- Convergence of mimetic finite difference discretizations of the diffusion equation
- Overlapping Domain Decomposition methods with distributed Lagrange multipliers
- On the construction of a vertex space preconditioner for Morley element
- Error bounds for Finite Element solutions of elliptic variational inequalities of second kind
