Editorials in Scientific Journals:
L. Kogler, J. Schöberl:
"An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices";
Numerical Linear Algebra with Applications,
29
(2022),
e2408;
25 pages.
English abstract:
Thisarticleintroducesanovelapproachtoalgebraicmultigridmethodsforlargesystems of linear equations coming from finite element discretizations of certainelliptic second-order partial differential equations. Based on a discrete energymade up of edge and vertex contributions, we are able to develop coarsening cri-teria that guarantee two-level convergence even for systems of equations such aslinear elasticity . This energy also allows us to construct prolongations with pre-scribed sparsity pattern that still preserve kernel vectors exactly. These allow fora straightforward optimization that simplifies parallelization and reduces com-municationoncoarselevels.Numericalexperimentsdemonstrateefficiencyandrobustness of the method and scalability of the implementation
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1002/nla.2408
Created from the Publication Database of the Vienna University of Technology.