A New Discretization for $m$th-Laplace Equations with Arbitrary Polynomial Degrees

DOI10.1137/15M1013651zbMath1344.31003arXiv1512.06513OpenAlexW2964283882MaRDI QIDQ5741061

Mira Schedensack

Publication date: 21 July 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06513

zbMATH Keywords

finite elementspolyharmonic equation\(m\)th-Laplace equation

Mathematics Subject Classification ID

Plates (74K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Higher-order elliptic equations (35J30) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items

A C⁰ interior penalty method for mth-Laplace equation, Nonconforming finite element spaces for $2m$th order partial differential equations on $\mathbb {R}^n$ simplicial grids when $m=n+1$, A higher order nonlocal operator method for solving partial differential equations, The conforming virtual element method for polyharmonic problems, Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions, Finite Neuron Method and Convergence Analysis, Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\), The conforming virtual element method for polyharmonic and elastodynamics problems: a review, Stable splitting of polyharmonic operators by generalized Stokes systems

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