Le Borne, SabineSabineLe Borne2021-10-262021-10-262005Domain decomposition methods in science and engineering / R. Kornhuber ..., ed. - Berlin, 2005. - (Lecture Notes in Computational Science and Engineering ; vol. 40): Pp. 631-638 (2005)http://hdl.handle.net/11420/10623Hierarchical matrices provide a technique to efficiently compute and store explicit approximations to the inverses of stiffness matrices computed in the discretization of partial differential equations. In a previous paper, Le Borne [2003], it was shown how standard H-matrices must be modified in order to obtain good approximations in the case of a convection dominant equation with a constant convection direction. This paper deals with a generalization to arbitrary (non-constant) convection directions. We will show how these H-matrix approximations to the inverse can be used as preconditioners in iterative methods.enInformatikMathematikHierarchical matrices for convection-dominated problemsBook Part10.1007/3-540-26825-1_67Other