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math.NA2023
Uniform Preconditioners for High Order Finite Element Approximations of Planar Linear Elasticity
Mark Ainsworth, Charles Parker
A new preconditioner is developed for high order finite element approximation of linear elastic problems on triangular meshes in two dimensions. The new preconditioner results in a…
math.NA2023
Statically Condensed Iterated Penalty Method for High Order Finite Element Discretizations of Incompressible Flow
Mark Ainsworth, Charles Parker
We introduce and analyze a Statically Condensed Iterated Penalty (SCIP) method for solving incompressible flow problems discretized with th-order Scott-Vogelius elements. While…