Bulk-surface virtual element method for systems of PDEs in two-space dimensions
DOI10.1007/s00211-020-01167-3zbMath1459.65182arXiv2002.11748OpenAlexW3122718520WikidataQ114231034 ScholiaQ114231034MaRDI QIDQ1996228
Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
Publication date: 3 March 2021
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.11748
virtual elementsbulk-surface finite elementsbulk-surface PDEsbulk-surface reaction-diffusion systems (BSRDS)bulk-surface virtual elements
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cut finite element methods for coupled bulk-surface problems
- Equivalent projectors for virtual element methods
- Hitchhiker's guide to the fractional Sobolev spaces
- Virtual element methods for plate bending problems
- A computational method for the coupled solution of reaction-diffusion equations on evolving domains and manifolds: application to a model of cell migration and chemotaxis
- Regularity results for elliptic equations in Lipschitz domains
- Virtual element methods for hyperbolic problems on polygonal meshes
- High-order virtual element method on polyhedral meshes
- A hybrid finite volume -- finite element method for bulk-surface coupled problems
- Evolving surface finite element method for the Cahn-Hilliard equation
- High order VEM on curved domains
- A coupled bulk-surface model for cell polarisation
- Virtual Elements for Linear Elasticity Problems
- Symmetry breaking in a bulk–surface reaction–diffusion model for signalling networks
- Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems
- Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics
- Divergence free virtual elements for the stokes problem on polygonal meshes
- A trace finite element method for a class of coupled bulk-interface transport problems
- Virtual element methods for parabolic problems on polygonal meshes
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
- Virtual Element Method for the Laplace-Beltrami equation on surfaces
- Numerical analysis of parabolic problems with dynamic boundary conditions
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Finite element analysis for a coupled bulk-surface partial differential equation
- Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes
- Preserving invariance properties of reaction–diffusion systems on stationary surfaces
- The Virtual Element Method with curved edges
- Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction-Diffusion System
- A virtual element method for the Steklov eigenvalue problem
- Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems
- A virtual element method with arbitrary regularity
- Finite element methods for surface PDEs
This page was built for publication: Bulk-surface virtual element method for systems of PDEs in two-space dimensions