4.5 Article

Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces

Related references

Note: Only part of the references are listed.
Article Computer Science, Interdisciplinary Applications

Intrinsic finite element method for advection-diffusion-reaction equations on surfaces

Elena Bachini et al.

Summary: In this study, a finite element method for PDEs on surfaces was developed based on a geometrically intrinsic formulation. The method was evaluated for steady and transient problems involving diffusion and advection-dominated regimes, showing expected convergence rates and good performance compared to established finite element methods.

JOURNAL OF COMPUTATIONAL PHYSICS (2021)

Article Mathematics, Applied

The conforming virtual element method for polyharmonic problems

P. F. Antonietti et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2020)

Article Mathematics, Applied

Geometrically intrinsic modeling of shallow water flows

Elena Bachini et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2020)

Article Computer Science, Interdisciplinary Applications

A numerical study of the virtual element method in anisotropic diffusion problems

Annamaria Mazzia

MATHEMATICS AND COMPUTERS IN SIMULATION (2020)

Article Mathematics, Applied

Finite element approximation of the Laplace-Beltrami operator on a surface with boundary

Erik Burman et al.

NUMERISCHE MATHEMATIK (2019)

Article Engineering, Multidisciplinary

Extended virtual element method for the Laplace problem with singularities and discontinuities

E. Benvenuti et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2019)

Article Mathematics, Applied

VIRTUAL ELEMENT METHOD FOR THE LAPLACE-BELTRAMI EQUATION ON SURFACES

Massimo Frittelli et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2018)

Article Mathematics, Applied

Exploring high-order three dimensional virtual elements: Bases and stabilizations

F. Dassi et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2018)

Article Computer Science, Interdisciplinary Applications

Discontinuous Skeletal Gradient Discretisation methods onpolytopal meshes

Daniele A. Di Pietro et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2018)

Article Mathematics, Applied

Ill-conditioning in the virtual element method: Stabilizations and bases

Lorenzo Mascotto

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2018)

Article Water Resources

Modeling shallow water flows on general terrains

Ilaria Fent et al.

ADVANCES IN WATER RESOURCES (2018)

Article Mathematics, Applied

THE VIRTUAL ELEMENT METHOD FOR EIGENVALUE PROBLEMS WITH POTENTIAL TERMS ON POLYTOPIC MESHES

Ondrej Certik et al.

APPLICATIONS OF MATHEMATICS (2018)

Article Mathematics, Applied

A posteriori error estimates for the virtual element method

Andrea Cangiani et al.

NUMERISCHE MATHEMATIK (2017)

Article Mathematics, Applied

Some Estimates for Virtual Element Methods

Susanne C. Brenner et al.

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS (2017)

Article Mathematics, Applied

H(div) and H(curl)-conforming virtual element methods

L. Beirao da Veiga et al.

NUMERISCHE MATHEMATIK (2016)

Article Mathematics, Interdisciplinary Applications

A virtual element method for contact

P. Wriggers et al.

COMPUTATIONAL MECHANICS (2016)

Article Mathematics, Applied

A PLANE WAVE VIRTUAL ELEMENT METHOD FOR THE HELMHOLTZ PROBLEM

Ilaria Perugia et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2016)

Article Computer Science, Interdisciplinary Applications

Constructing reference metrics on multicube representations of arbitrary manifolds

Lee Lindbloma et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2016)

Article Mathematics, Applied

Basic principles of hp virtual elements on quasiuniform meshes

L. Beirao da Veiga et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2016)

Article Mathematics, Applied

Virtual Element Method for general second-order elliptic problems on polygonal meshes

L. Beirao da Veiga et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2016)

Article Mathematics, Applied

A C-1 VIRTUAL ELEMENT METHOD FOR THE CAHN-HILLIARD EQUATION WITH POLYGONAL MESHES

P. F. Antonietti et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2016)

Article Engineering, Multidisciplinary

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Luca Dede et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2015)

Article Mathematics, Applied

RESIDUAL A POSTERIORI ERROR ESTIMATION FOR THE VIRTUAL ELEMENT METHOD FOR ELLIPTIC PROBLEMS

L. Beirao da Veiga et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2015)

Article Engineering, Multidisciplinary

Hourglass stabilization and the virtual element method

A. Cangiani et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2015)

Article Mathematics, Applied

A virtual element method for the Steklov eigenvalue problem

David Mora et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2015)

Article Mathematics, Applied

HIGH ORDER DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS ON SURFACES

Paola F. Antonietti et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2015)

Article Mathematics, Applied

A PARALLEL SOLVER FOR LARGE SCALE DFN FLOW SIMULATIONS

Stefano Berrone et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2015)

Article Computer Science, Interdisciplinary Applications

Bridging art and engineering using Escher-based virtual elements

Glaucio H. Paulino et al.

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2015)

Article Geochemistry & Geophysics

Numerical modeling of the Mount Meager landslide constrained by its force history derived from seismic data

L. Moretti et al.

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH (2015)

Article Mathematics, Applied

Post Processing of Solution and Flux for the Nodal Mimetic Finite Difference Method

Lourenco Beirao da Veiga et al.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2015)

Article Engineering, Multidisciplinary

The virtual element method for discrete fracture network simulations

Matias Fernando Benedetto et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2014)

Article Mathematics, Applied

Finite element superconvergence on Shishkin meshes for convection-diffusion problems with corner singularities

Lars Ludwig et al.

IMA JOURNAL OF NUMERICAL ANALYSIS (2014)

Article Computer Science, Interdisciplinary Applications

Mimetic finite difference method

Konstantin Lipnikov et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2014)

Article Mathematics, Applied

New perspectives on polygonal and polyhedral finite element methods

Gianmarco Manzini et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2014)

Article Mathematics, Applied

Equivalent projectors for virtual element methods

B. Ahmad et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2013)

Article Mathematics, Applied

BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

L. Beirao da Veiga et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2013)

Article Mathematics

Finite element methods for surface PDEs

Gerhard Dziuk et al.

ACTA NUMERICA (2013)

Article Computer Science, Interdisciplinary Applications

PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab

Cameron Talischi et al.

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2012)

Article Mathematics, Applied

ARBITRARY-ORDER NODAL MIMETIC DISCRETIZATIONS OF ELLIPTIC PROBLEMS ON POLYGONAL MESHES

L. Beirao Da Veiga et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2011)

Article Mathematics, Applied

MODELING CELL MOVEMENT AND CHEMOTAXIS USING PSEUDOPOD-BASED FEEDBACK

M. P. Neilson et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2011)

Article Mathematics, Applied

MIMETIC FINITE DIFFERENCES FOR ELLIPTIC PROBLEMS

Franco Brezzi et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2009)

Article Mathematics, Applied

A FINITE ELEMENT METHOD FOR ELLIPTIC EQUATIONS ON SURFACES

Maxim A. Olshanskii et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2009)

Article Mathematics, Applied

HIGHER-ORDER FINITE ELEMENT METHODS AND POINTWISE ERROR ESTIMATES FOR ELLIPTIC PROBLEMS ON SURFACES

Alan Demlow

SIAM JOURNAL ON NUMERICAL ANALYSIS (2009)

Article Computer Science, Interdisciplinary Applications

A new Savage-Hutter type model for submarine avalanches and generated tsunami

E. D. Fernandez-Nieto et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2008)

Article Mathematics, Applied

Distance functions and geodesics on submanifolds of R-d and point clouds

F Memoli et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2005)

Article Mathematics

A new model of Saint Venant and Savage-Hutter type for gravity driven shallow water flows

F Bouchut et al.

COMPTES RENDUS MATHEMATIQUE (2003)

Article Mathematics, Applied

Delaunay refinement algorithms for triangular mesh generation

JR Shewchuk

COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS (2002)