An \(\mathcal{O}(p^3)\) \(hp\)-version FEM in two dimensions: preconditioning and post-processing

DOI10.1016/j.cma.2019.03.020zbMath1441.65089OpenAlexW2923440116MaRDI QIDQ1988014

Mark Ainsworth, Shuai Jiang, Manuel A. Sánchez

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.03.020

zbMATH Keywords

post-processinghigh order finite elementspreconditioning mass matrix

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (10)

Bernstein-Bézier Galerkin-characteristics finite element method for convection-diffusion problems ⋮ Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws ⋮ A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes ⋮ A semi-Lagrangian Bernstein-Bézier finite element method for two-dimensional coupled Burgers' equations at high Reynolds numbers ⋮ A Bernstein-Bézier Lagrange-Galerkin method for three-dimensional advection-dominated problems ⋮ Structured Inversion of the Bernstein Mass Matrix ⋮ Preconditioning the Mass Matrix for High Order Finite Element Approximation on Triangles ⋮ A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines ⋮ A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods ⋮ Preconditioning the Mass Matrix for High Order Finite Element Approximation on Tetrahedra

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