Results 21 to 30 of about 18,745,540 (280)

Stability analysis for the virtual element method [PDF]

Mathematical Models and Methods in Applied Sciences, 2017
We analyze the virtual element methods (VEM) on a simple elliptic model problem, allowing for more general meshes than the one typically considered in the VEM literature. For instance, meshes with arbitrarily small edges (with respect to the parent element diameter) can be dealt with.
Beirao da Veiga, L, Lovadina, C, Russo, A   +2 more
openaire   +5 more sources

A posteriori error estimates for the virtual element method. [PDF]

Numer Math (Heidelb), 2017
An posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of residual-type and applies on very general polygonal/polyhedral meshes. The estimator is fully computable as it relies only on quantities available from the VEM solution, namely its degrees of freedom ...
Cangiani A, Georgoulis EH, Pryer T, Sutton OJ.   +3 more
europepmc   +9 more sources

The virtual element method for a minimal surface problem [PDF]

Calcolo, 2020
In this paper we consider the Virtual Element discretization of a minimal surface problem, a quasi-linear elliptic partial differential equation modeling the problem of minimizing the area of a surface subject to a prescribed boundary condition.
Antonietti P. F., Bertoluzza S., Prada D., Verani M.   +3 more
openaire   +7 more sources

Virtual Elements on polyhedra with a curved face

Bulletin of Mathematical Sciences, 2023
We revisit classical Virtual Element approximations on polygonal and polyhedral decompositions. We also recall the treatment proposed for dealing with decompositions into polygons with curved edges.
Franco Brezzi, L. Donatella Marini
doaj   +1 more source

Some Virtual Element Methods for Infinitesimal Elasticity Problems

, 2022
The chapter presents Virtual Element Methods for linear elasticity. In particular, displacement based methods stemming from the principle of virtual works for 2D problems, and mixed methods based on the Hellinger-Reissner variational principle for 2D ...
Luca Patruno, Edoardo Artioli, Carlo Lovadina, and Michele Visinoni, Stefano de Miranda   +4 more
core   +1 more source

An AR Map Virtual–Real Fusion Method Based on Element Recognition

ISPRS International Journal of Geo-Information, 2023
The application of AR to explore augmented map representation has become a research hotspot due to the growing application of AR in maps and geographic information in addition to the rising demand for automated map interpretation.
Zhangang Wang
doaj   +1 more source

The Virtual Element Method with curved edges [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 2019
In this paper we initiate the investigation of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in two dimensions, as it happens in the approximation of problems posed on a curved domain or with a curved interface. While an approximation of the domain with polygons leads, for degree of accuracy
Beirão da Veiga, L, Russo, A, Vacca, G
openaire   +6 more sources

A free‐cutting mesh strategy for optimal shape synthesis in magnetics

IET Science, Measurement & Technology, 2022
The authors propose an innovative technique for dealing with optimal shape design problems that exploits the flexibility of the virtual element method in generating meshes composed of general polygonal and polyhedral elements.
F. Dassi, P. Di Barba, A. Russo
doaj   +1 more source

Virtual‎ ‎Element‎ ‎Method‎ ‎for‎ Numerical Simulation of Burgers-Fisher Equation on Convex‎ ‎and Non-Convex Meshes [PDF]

Mathematics Interdisciplinary Research
‎We present an enhanced approach to solving the combined non-linear time-dependent Burgers-Fisher equation‎, ‎which is widely used in mathematical biology and has a broad range of applications‎.
AllahBakhsh Yazdani Cherati, Hamid Momeni   +1 more
doaj   +1 more source

A virtual element method for the von Kármán equations [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 2021
In this article we propose and analyze a Virtual Element Method (VEM) to approximate the isolated solutions of the von Kármán equations, which describe the deformation of very thin elastic plates. We consider a variational formulation in terms of two variables: the transverse displacement of the plate and the Airy stress function.
Lovadina C., Mora D., Velasquez I.
openaire   +1 more source