A Simple Uniformly Convergent Iterative Method for the Non-symmetric Incomplete Interior Penalty Discontinuous Galerkin Discretization [chapter]

Blanca Ayuso, Ludmil T. Zikatanov
2010 Lecture Notes in Computational Science and Engineering  
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.
doi:10.1007/978-3-642-11304-8_38 fatcat:5fs5c5eicbdnbnh2g2wtsi3mde