Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
MiS Preprint
7/2004
Approximate Inverse Preconditioning of FE Systems for Elliptic Operators with non-smooth Coefficients
Mario Bebendorf
Abstract
A new class of approximate inverse preconditioners for large finite element stiffness matrices arising from elliptic partial differential operators is introduced which guarantees a bounded number of iterations of the conjugate gradients method. This preconditioner can be generated, stored and multiplied by a vector with almost linear complexity. Since the proposed preconditioner is robust with respect to varying coefficients and does not need a grid hierarchy it may be used as a black-box method.
