Cover Image

The eXtended Virtual Element Method for elliptic problems with weakly singular solutions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Droniou, Jerome, Manzini, Gianmarco, Yemm, Liam
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

eXtended Physics Informed Neural Network Method for Fracture Mechanics Problems
by: Lotfalian, Amin, et al.
Published: (2025)

Mesh Optimization for the Virtual Element Method: How Small Can an Agglomerated Mesh Become?
by: Sorgente, Tommaso, et al.
Published: (2024)

A Low-Rank QTT-based Finite Element Method for Elasticity Problems
by: Benvenuti, Elena, et al.
Published: (2025)

The Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification
by: Walton, Steven, et al.
Published: (2024)

The low-rank tensor-train finite difference method for three-dimensional parabolic equations
by: Manzini, Gianmarco, et al.
Published: (2025)

A locking-free nodal-based polytopal method for linear elasticity
by: Droniou, Jerome, et al.
Published: (2026)

Numerical analysis of the stochastic Stefan problem
by: Droniou, Jerome, et al.
Published: (2023)

Cell agglomeration strategy for cut cells in eXtended discontinuous Galerkin methods
by: Toprak, Muhammed, et al.
Published: (2024)

Two arbitrary-order constraint-preserving schemes for the Yang--Mills equations on polyhedral meshes
by: Droniou, Jérôme, et al.
Published: (2023)

From Finite Elements to Hybrid High-Order methods
by: Di Pietro, Daniele A., et al.
Published: (2025)

Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction
by: Droniou, Jérôme, et al.
Published: (2024)

A discrete trace theory for non-conforming polytopal hybrid discretisation methods
by: Badia, Santiago, et al.
Published: (2024)

Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates
by: Droniou, Jerome, et al.
Published: (2024)

Cell Agglomeration Strategy for Cut Cells in eXtended Discontinuous Galerkin Methods
by: Teoman Toprak, et al.
Published: (2025)

Efficient iterative linearised solvers for numerical approximations of stochastic Stefan problems
by: Khan, Muhammad Awais, et al.
Published: (2025)

A Fast, Accurate and Oscillation-free Spectral Collocation Solver for High-dimensional Transport Problems
by: Cavallini, Nicola, et al.
Published: (2025)

A higher order pressure-stabilized virtual element formulation for the Stokes-Poisson-Boltzmann equations
by: Mishra, Sudheer, et al.
Published: (2026)

Error estimates for numerical approximations of a nonlinear gradient flow model
by: Droniou, Jerome, et al.
Published: (2025)

Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods
by: Badia, Santiago, et al.
Published: (2025)

A Reynolds- and Hartmann-semirobust hybrid method for magnetohydrodynamics
by: Di Pietro, Daniele A., et al.
Published: (2026)

Isoparametric Virtual Element Methods
by: Cangiani, Andrea, et al.
Published: (2024)

A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations
by: Di Pietro, Daniele A., et al.
Published: (2024)

A discontinuous in time Streamline Diffusion Virtual Element Method for Darcy-transport problem
by: Diaz, R A Caraballo, et al.
Published: (2025)

A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces
by: Droniou, Jérôme, et al.
Published: (2023)

Virtual Element Methods for HJB Equations with Cordes Coefficients
by: Cai, Ying, et al.
Published: (2024)

Orthogonal polynomial bases in the Mixed Virtual Element Method
by: Berrone, Stefano, et al.
Published: (2023)

Convergence Analysis of Virtual Element Methods for the Sobolev Equation with Convection
by: Kumar, Ankit, et al.
Published: (2025)

Heterogeneous Multiscale Method for elliptic problem without scale separation
by: Yu, Tao, et al.
Published: (2024)

Virtual Element methods for non-Newtonian shear-thickening fluid flow problems
by: Antonietti, Paola F., et al.
Published: (2026)

Volumetric locking-free Mixed Virtual Element Methods for Contact Problems
by: Lovadina, C., et al.
Published: (2026)

An Investigation of Stabilization Scaling in Finite-Strain Virtual Element Methods for Hyperelasticity
by: Enabe, Paulo Akira F., et al.
Published: (2026)

Virtual Element Method Applied to Two Dimensional Axisymmetric Elastic Problems
by: Enabe, Paulo Akira F., et al.
Published: (2025)

A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
by: Liu, Shicheng, et al.
Published: (2025)

Low-order finite element complex with application to a fourth-order elliptic singular perturbation problem
by: Cui, Xuewei, et al.
Published: (2025)

The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom
by: Berrone, Stefano, et al.
Published: (2023)

Error analysis of a collocation method on graded meshes for nonlocal diffusion problems with weakly singular kernels
by: Chen, Minghua, et al.
Published: (2024)

Conforming/Non-conforming Virtual Elements and application to elasticity problems in curved three-dimensional domains
by: da Veiga, L. Beirão, et al.
Published: (2026)

Ghost stabilisation for cut finite element exterior calculus
by: Di Pietro, Daniele, et al.
Published: (2025)

A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization
by: Lovadina, Carlo, et al.
Published: (2024)