H(curl) Auxiliary Mesh Preconditioning
Journal Article
·
· Numerical Linear Algebra with Apllications, vol. 15, no. 5, January 6, 2008, pp. 455 - 471
OSTI ID:936707
This paper analyzes a two-level preconditioning scheme for H(curl) bilinear forms. The scheme utilizes an auxiliary problem on a related mesh that is more amenable for constructing optimal order multigrid methods. More specifically, we analyze the case when the auxiliary mesh only approximately covers the original domain. The latter assumption is important since it allows for easy construction of nested multilevel spaces on regular auxiliary meshes. Numerical experiments in both two and three space dimensions illustrate the optimal performance of the method.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 936707
- Report Number(s):
- UCRL-JRNL-224227; TRN: US200818%%1024
- Journal Information:
- Numerical Linear Algebra with Apllications, vol. 15, no. 5, January 6, 2008, pp. 455 - 471, Vol. 15, Issue 5
- Country of Publication:
- United States
- Language:
- English
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