Virtual Element Method for the Laplace-Beltrami equation on surfaces
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Publication:4561149
DOI10.1051/m2an/2017040zbMath1456.65160arXiv1612.02369OpenAlexW3099159466MaRDI QIDQ4561149
Ivonne Sgura, Massimo Frittelli
Publication date: 10 December 2018
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.02369
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)
Related Items (25)
Numerical preservation of velocity induced invariant regions for reaction-diffusion systems on evolving surfaces ⋮ Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions ⋮ A multigrid algorithm for the p-version of the virtual element method ⋮ Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version ⋮ Exponential convergence of the \(hp\) virtual element method in presence of corner singularities ⋮ Virtual element method for elliptic Neumann boundary optimal control problem ⋮ FMM-accelerated solvers for the Laplace-Beltrami problem on complex surfaces in three dimensions ⋮ An Interface Formulation of the Laplace–Beltrami Problem on Piecewise Smooth Surfaces ⋮ Virtual element method for elliptic bulk‐surface PDEs in three space dimensions ⋮ The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications ⋮ An H1-conforming virtual element for Darcy and Brinkman equations ⋮ A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds ⋮ BDDC and FETI-DP for the virtual element method ⋮ FETI-DP for the Three Dimensional Virtual Element Method ⋮ VEM discretization allowing small edges for the reaction–convection–diffusion equation: source and spectral problems ⋮ A cVEM-DG space-time method for the dissipative wave equation ⋮ The nonconforming virtual element method with curved edges ⋮ The conforming virtual element method for polyharmonic problems ⋮ Ill‐conditioning in the virtual element method: Stabilizations and bases ⋮ A virtual element method for the transmission eigenvalue problem ⋮ Bulk-surface virtual element method for systems of PDEs in two-space dimensions ⋮ Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces ⋮ High order VEM on curved domains ⋮ Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements ⋮ Convergence analysis of virtual element method for nonlinear nonlocal dynamic plate equation
Uses Software
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