Bencheva, Gergana and Margenov, Svetozar (2003) Parallel incomplete factorization preconditioning of rotated linear FEM systems. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 4 (2). pp. 105-117. ISSN 1586-2070
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Abstract
The recent efforts in development of efficient solution methods for non-conforming finite element systems are inspired by their importance for various applications in scientific computations and engineering. This study is focused on the implementation of rotated bilinear elements. A locally modified approximation of the global stiffness matrix is proposed allowing for: a) a stable MIC(0) factorization; and b) a scalable parallel implementation. An optimal condition number estimate is derived for the constructed sparse matrix approximation with respect to the original global stiffness matrix. The estimates of the parallel speed-up and the parallel efficiency as well as the presented parallel numerical tests demonstrate the potential of the PCG algorithm and the MPI code developed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | non-conforming FEM, preconditioning, parallel algorithms |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 08 Sep 2025 11:40 |
| Last Modified: | 08 Sep 2025 11:40 |
| URI: | https://real.mtak.hu/id/eprint/223765 |
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