Polynomial preserving virtual elements with curved edges
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Publication:5127169
DOI10.1142/S0218202520500311zbMath1444.65066MaRDI QIDQ5127169
Lourenco Beirão da Veiga, Franco Brezzi, Luisa Donatella Marini, Alessandro Russo
Publication date: 21 October 2020
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Related Items (23)
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains ⋮ Bend 3D mixed virtual element method for Darcy problems ⋮ CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems ⋮ On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems ⋮ The virtual element method ⋮ Convergence analysis of expanded mixed virtual element methods for nonlocal problems ⋮ Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces ⋮ NURBS Enhanced Virtual Element Methods for the Spatial Discretization of the Multigroup Neutron Diffusion Equation on Curvilinear Polygonal Meshes ⋮ A conforming virtual element method based on unfitted meshes for the elliptic interface problem ⋮ Curved elements in weak Galerkin finite element methods ⋮ Evaluation of Inner Products of Implicitly Defined Finite Element Functions on Multiply Connected Planar Mesh Cells ⋮ The nonconforming virtual element method for Oseen’s equation using a stream-function formulation ⋮ Virtual Elements on polyhedra with a curved face ⋮ A velocity-based moving mesh virtual element method ⋮ The nonconforming virtual element method with curved edges ⋮ The mixed virtual element method on curved edges in two dimensions ⋮ Curvilinear virtual elements for contact mechanics ⋮ NURBS-based geometries: a mapping approach for virtual serendipity elements ⋮ A virtual element method for the wave equation on curved edges in two dimensions ⋮ Quadrature for implicitly-defined finite element functions on curvilinear polygons ⋮ Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements ⋮ An introduction to second order divergence-free VEM for fluidodynamics ⋮ Virtual element methods for engineering applications
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