General Constrained Energy Minimization Interpolation Mappings for AMG

Authors:
Panayot S. Vassilevski
Affiliations:
panayot@llnl.gov
Venue:
SIAM Journal on Scientific Computing
Year:
2010

Citing 6
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Abstract

This report proposes a new class of interpolation procedures for use in algebraic multigrid (AMG). The procedure is general in that it applies to s.p.d. finite element discretization problems that include scalar and vector elliptic PDEs, and it can be adapted to the time-domain Maxwell (definite $H(\mathrm{curl})$) problems. It can also be viewed as an extension of previously proposed vector-fitting interpolation procedures and can be used in adaptive AMG cycles. We illustrate the performance of the new interpolation matrices on a number of test problems.