Fast inversion of the simplicial Bernstein mass matrix
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Publication:504166
DOI10.1007/s00211-016-0795-0zbMath1356.65226OpenAlexW2340393148MaRDI QIDQ504166
Publication date: 25 January 2017
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-016-0795-0
numerical resultsBernstein polynomialsfast algorithmsfinite element methodsdiscontinuous Galerkin methodhyperbolic conservation lawsoptimal complexity
Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Complexity and performance of numerical algorithms (65Y20)
Related Items
Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws, Bounds-constrained polynomial approximation using the Bernstein basis, Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations, Structured Inversion of the Bernstein Mass Matrix, Bernstein-Bézier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous media, An \(\mathcal{O}(p^3)\) \(hp\)-version FEM in two dimensions: preconditioning and post-processing, Structured Inversion of the Bernstein--Vandermonde Matrix, Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws, Recursive, Parameter-Free, Explicitly Defined Interpolation Nodes for Simplices
Uses Software
Cites Work
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