We introduce a uniformly convergent iterative method for the systems arising from non-symmetric IIPG linear approximations of second order elliptic problems. The method can be viewed as a block Gauß-Seidel method in which the blocks correspond to restrictions of the IIPG method to suitably constructed subspaces. Numerical tests are included, showing the uniform convergence of the iterative method in an energy norm. © 2011 Springer-Verlag Berlin Heidelberg.

Ayuso de Dios, B., Zikatanov, L. (2011). A Simple Uniformly Convergent Iterative Method for the Non-Symmetric Incomplete Interior Penalty Discontinuous Galerkin discretization. In Domain Decomposition Methods in Science and Engineering XIX (pp.335-342). Springer Verlag [10.1007/978-3-642-11304-8_38].

A Simple Uniformly Convergent Iterative Method for the Non-Symmetric Incomplete Interior Penalty Discontinuous Galerkin discretization

Ayuso de Dios, B;
2011

Abstract

We introduce a uniformly convergent iterative method for the systems arising from non-symmetric IIPG linear approximations of second order elliptic problems. The method can be viewed as a block Gauß-Seidel method in which the blocks correspond to restrictions of the IIPG method to suitably constructed subspaces. Numerical tests are included, showing the uniform convergence of the iterative method in an energy norm. © 2011 Springer-Verlag Berlin Heidelberg.
paper
nonsymmetric, discontinuous Galerkin
English
International Conference on Domain Decomposition Methods
2009
Domain Decomposition Methods in Science and Engineering XIX
9783642113031
2011
78
335
342
none
Ayuso de Dios, B., Zikatanov, L. (2011). A Simple Uniformly Convergent Iterative Method for the Non-Symmetric Incomplete Interior Penalty Discontinuous Galerkin discretization. In Domain Decomposition Methods in Science and Engineering XIX (pp.335-342). Springer Verlag [10.1007/978-3-642-11304-8_38].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/218330
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