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Combinatorial Preconditioners for Scalar Elliptic Finite-Element Problems
2009
SIAM Journal on Matrix Analysis and Applications
We present a new preconditioner for linear systems arising from finite-element discretizations of scalar elliptic partial differential equations (PDE's). The solver splits the collection {Ke} of element matrices into a subset of matrices that are approximable by diagonally dominant matrices and a subset of matrices that are not approximable. The approximable Ke's are approximated by diagonally dominant matrices Le's that are assembled to form a global diagonally dominant matrix L. A
doi:10.1137/060675940
fatcat:g7fuh2un7rgvtlhdko4pxinta4