A velocity-based moving mesh virtual element method
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Publication:6189256
DOI10.1016/j.camwa.2023.12.005arXiv2211.13521MaRDI QIDQ6189256
H. J. Wells, Andrea Cangiani, Matthew Hubbard
Publication date: 8 February 2024
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.13521
porous medium equationmoving mesh methodvirtual element methodpolygonal meshesarbitrary Lagrangian-Eulerian schemes
Cites Work
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- Equivalent projectors for virtual element methods
- Time-discrete higher order ALE formulations: a priori error analysis
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- Moving mesh methods for solving parabolic partial differential equations
- Mixed discontinuous Galerkin methods for Darcy flow
- A study on moving mesh finite element solution of the porous medium equation
- Anisotropic mesh quality measures and adaptation for polygonal meshes
- Consistent Dirichlet boundary conditions for numerical solution of moving boundary problems
- Sliding interfaces with contact-impact in large-scale Lagrangian computations
- The moving finite element method: Applications to general partial differential equations with multiple large gradients
- Mathematical biology. Vol. 1: An introduction.
- Virtual element methods for hyperbolic problems on polygonal meshes
- A virtual element method for contact
- A stabilized mixed finite element method for Darcy flow
- A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes
- Fluid-structure interactions. Models, analysis and finite elements
- The nonconforming virtual element method for the Darcy-Stokes problem
- High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
- Virtual element method for the numerical simulation of long-term dynamics of transitional environments
- Bend 3D mixed virtual element method for Darcy problems
- A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes
- The virtual element method in 50 lines of MATLAB
- A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries
- Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- Virtual element methods for parabolic problems on polygonal meshes
- Moving Finite Elements. I
- Temporal Derivatives in the Finite-Element Method on Continuously Deforming Grids
- Virtual element methods on meshes with small edges or faces
- Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations
- Stability analysis for the virtual element method
- An H1-conforming virtual element for Darcy and Brinkman equations
- Conforming and nonconforming virtual element methods for elliptic problems
- A Moving Mesh Method Based on the Geometric Conservation Law
- Moving Mesh Methods for Problems with Blow-Up
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Time-Discrete Higher-Order ALE Formulations: Stability
- NURBS Enhanced Virtual Element Methods for the Spatial Discretization of the Multigroup Neutron Diffusion Equation on Curvilinear Polygonal Meshes
- Polynomial preserving virtual elements with curved edges
- Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods
- The Hitchhiker's Guide to the Virtual Element Method
- CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES
- Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations
- Computational Contact Mechanics
- A moving mesh finite element method for the solution of two-dimensional Stefan problems
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