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Yuri Kuznetsov and Konstantin Lipnikov, "Fast separable solver for mixed finite element methods and applications", J. Numer. Math., vol. 10, no. 2, pp. 137-155, 2002

Abstract

A separable preconditioner for solution of elliptic equations in the mixed-hybrid form is proposed and studied. The problem is discretized on logically rectangular (d=2 or 3) meshes with the lowest order Raviart-Thomas finite elements. The arithmetical complexity of the preconditioner is O(n logd-1 n). Results of numerical experiments are presented.

BibTeX Entry

@article{kuznetsov-2002-fast,
author = {Yuri Kuznetsov and Konstantin Lipnikov},
title = {Fast separable solver for mixed finite element methods and applications},
year = {2002},
journal = {J. Numer. Math.},
volume = {10},
number = {2},
pages = {137-155}
}