Nonconforming finite element spaces for $2m$th order partial differential equations on $\mathbb {R}^n$ simplicial grids when $m=n+1$
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Publication:4561362
DOI10.1090/mcom/3361zbMath1407.65304arXiv1705.10873OpenAlexW2618590410MaRDI QIDQ4561362
Publication date: 5 December 2018
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.10873
Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) 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) Higher-order elliptic equations (35J30)
Related Items (12)
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension ⋮ A C0 interior penalty method for mth-Laplace equation ⋮ A higher order nonlocal operator method for solving partial differential equations ⋮ A decoupled finite element method for the triharmonic equation ⋮ Transformations for Piola-mapped elements ⋮ Mixed variational formulations of virtual elements for the polyharmonic operator \((-\Delta)^n\) ⋮ Planar curve registration using Bayesian inversion ⋮ Finite Neuron Method and Convergence Analysis ⋮ Optimal quadratic element on rectangular grids for \(H^1\) problems ⋮ Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\) ⋮ A cubic \(H^3\)-nonconforming finite element ⋮ Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$
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