2007 | OriginalPaper | Chapter
Parallel Incomplete Factorization of 3D NC FEM Elliptic Systems
Author : Yavor Vutov
Published in: Numerical Methods and Applications
Publisher: Springer Berlin Heidelberg
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A new parallel preconditioner for solution of large scale second order 3D FEM elliptic systems is presented. The problem is discretized by rotated trilinear non-conforming finite elements. The algorithm is based on application of modified incomplete Cholesky factorisation (MIC(0)) to a locally constructed modification
B
of the original stiffness matrix
A
. The matrix
B
preserves the robustness of the point-wise factorisation and has a special block structure allowing parallelization. The performed numerical tests are in agreement with the derived estimates for the parallel times.