http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31182
Local boundary estimates for the Lagrange multiplier discretization of a Dirichlet boundary value problem with application to domain decomposition (Articolo in rivista)
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- Local boundary estimates for the Lagrange multiplier discretization of a Dirichlet boundary value problem with application to domain decomposition (Articolo in rivista) (literal)
- Anno
- 2006-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1007/s10092-006-0115-7 (literal)
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- Scopu (literal)
- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Pavia (literal)
- Titolo
- Local boundary estimates for the Lagrange multiplier discretization of a Dirichlet boundary value problem with application to domain decomposition (literal)
- Abstract
- We give an estimate on the error resulting from approximating
the outer normal derivative of the solution of a second-order partial differential
equation with the Lagrange multiplier obtained in using the Lagrange
multiplier method for imposing the Dirichlet boundary conditions.We consider
both the case of smooth domains and, in view of an application in
the framework of domain decomposition, the case of polygonal domains.
The estimate given, supported by numerical results, shows that the mesh in
the interior of the (sub)domain can be chosen more coarsely than near the
boundary, when only a good approximation of the outer normal derivative is
needed, as in the case of the evaluation of the Steklov-Poincaré operator, or
when solving with a Schur complement approach the linear system arising
from the three-fields domain decomposition method. (literal)
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