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MiS Preprint

Approximate Inverse Preconditioning of FE Systems for Elliptic Operators with non-smooth Coefficients

Mario Bebendorf


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.

MSC Codes:
65F05, 65F50, 65N30

Related publications

2006 Repository Open Access
Mario Bebendorf

Approximate inverse preconditioning of FE systems for elliptic operators with non-smooth coefficients

In: SIAM journal on matrix analysis and applications, 27 (2006) 4, pp. 909-929