The mixed virtual element method on curved edges in two dimensions
… in a standard virtual element fashion, ie, we firstly define the virtual spaces element-wise
then we globally glue them. We introduce the local virtual space on the curved element E ∈ Ω h …
then we globally glue them. We introduce the local virtual space on the curved element E ∈ Ω h …
A virtual element method for the wave equation on curved edges in two dimensions
… Virtual Element Method with curved edges for the numerical approximation of the second
order wave equation in a bidimensional setting. Curved elements … Finite Element approaches, …
order wave equation in a bidimensional setting. Curved elements … Finite Element approaches, …
Polynomial preserving virtual elements with curved edges
… conforming Virtual Element spaces on polygons with curved edges. … allows to deal with curved
edges at an intermediate scale, … a finer mesh would make the curve flatter and flatter). The …
edges at an intermediate scale, … a finer mesh would make the curve flatter and flatter). The …
The virtual element method with curved edges
… of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in …
of problems posed on a curved domain or with a curved interface. While an approximation of …
of problems posed on a curved domain or with a curved interface. While an approximation of …
[HTML][HTML] Curvilinear virtual elements for contact mechanics
F Aldakheel, B Hudobivnik, E Artioli… - Computer Methods in …, 2020 - Elsevier
… The virtual element method (VEM) for curved edges with … a VEM technology for contact that
considers curved edges. A number of … two elastic bodies in the presence of curved interfaces. …
considers curved edges. A number of … two elastic bodies in the presence of curved interfaces. …
[HTML][HTML] Curvilinear virtual elements for 2D solid mechanics applications
E Artioli, LB Da Veiga, F Dassi - Computer Methods in Applied Mechanics …, 2020 - Elsevier
… work we generalize the curvilinear Virtual Element technology, … In such case also internal
elements may have curved edges … refer only to the boundary of Ω as a source of curved edges. …
elements may have curved edges … refer only to the boundary of Ω as a source of curved edges. …
[PDF][PDF] Virtual elements and curved edges
… In this paper we tackle the problem of constructing conforming Virtual Element spaces on
polygons with curved edges. Apart from the obvious convenience in treating computational …
polygons with curved edges. Apart from the obvious convenience in treating computational …
A virtual element formulation for general element shapes
… several new formulations that introduce curved element edges. These virtual elements allow
for specific geometrical forms of the course of the curve at the edges. In this contribution a …
for specific geometrical forms of the course of the curve at the edges. In this contribution a …
[HTML][HTML] An adaptive curved virtual element method for the statistical homogenization of random fibre-reinforced composites
E Artioli, LB da Veiga, M Verani - Finite Elements in Analysis and Design, 2020 - Elsevier
… We propose an adaptive curved virtual element method (ACVEM) which is able to … some
curved edge, laying on some curved interface Γ j (j ∈{1, 2, ‥, F}). For any of such curved edges …
curved edge, laying on some curved interface Γ j (j ∈{1, 2, ‥, F}). For any of such curved edges …
Enriched Virtual Element space on curved meshes with an application in magnetics
F Dassi, P Di Barba - Computers & Mathematics with Applications, 2024 - Elsevier
… curved edges are described by polynomials and we increase the dimension of the virtual
element … , an optimal shape design problem in magnetostatics characterised by curved edges. …
element … , an optimal shape design problem in magnetostatics characterised by curved edges. …
Recherches associées
- virtual element method
- two dimensions curved edges
- curved domains virtual element method approach
- virtual element formulation
- virtual element approximation
- conforming virtual element method polyharmonic problems
- virtual elements reissner mindlin plate problem
- mixed virtual element methods polygonal meshes
- mixed virtual element method curved edges
- nonconforming virtual element method curved edges