Paper Info
Title
Algebraic Multigrid Preconditioning of High-Order Spectral Elements for Elliptic Problems on a Simplicial Mesh
Abstract
Algebraic multigrid is investigated as a solver for linear systems that arise from high-order spectral element discretizations. An algorithm is introduced that utilizes the efficiency of low-order finite elements to precondition the high-order method in a multilevel setting. In particular, the efficacy of this approach is highlighted on simplexes in two and three dimensions with nodal spectral elements up to order n = 11. Additionally, a hybrid preconditioner is also developed for use with discontinuous spectral element methods. The latter approach is verified for the discontinuous Galerkin method on elliptic problems.
Year
DOI
Venue
2007
10.1137/060663465
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
Field
DocType
spectral element,discontinuous Galerkin,algebraic multigrid
Discontinuous Galerkin method,Preconditioner,Mathematical analysis,Finite element method,Spectral method,Partial differential equation,Multigrid method,Numerical linear algebra,Mathematics,Elliptic curve
Journal
Volume
Issue
ISSN
29
5
1064-8275
Citations 
PageRank 
References 
8
0.92
3
Authors
1
Name
Order
Citations
PageRank
Luke Olson123521.93