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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.