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The virtual element method for the 3D resistive magnetohydrodynamic model
We present a four-field virtual element discretization for the time-dependent resistive
magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete …
magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete …
On the maximum angle conditions for polyhedra with virtual element methods
R Guo - arxiv preprint arxiv:2212.07241, 2022 - arxiv.org
Finite element methods are well-known to admit robust optimal convergence on simplicial
meshes satisfying the maximum angle conditions. But how to generalize this condition to …
meshes satisfying the maximum angle conditions. But how to generalize this condition to …
Virtual element methods based on boundary triangulation: fitted and unfitted meshes
R Guo - arxiv preprint arxiv:2501.04021, 2024 - arxiv.org
One remarkable feature of virtual element methods (VEMs) is their great flexibility and
robustness when used on almost arbitrary polytopal meshes. This very feature makes it …
robustness when used on almost arbitrary polytopal meshes. This very feature makes it …
Anisotropic analysis of VEM for time-harmonic Maxwell equations in inhomogeneous media with low regularity
It has been extensively studied in the literature that solving Maxwell equations is very
sensitive to the mesh structure, space conformity and solution regularity. Roughly speaking …
sensitive to the mesh structure, space conformity and solution regularity. Roughly speaking …