Lourenço Beirão da Veiga

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J. Sci. Comput., April, 2024

A Virtual Element method for non-Newtonian fluid flows.

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CoRR, 2024

A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection.

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[DOI]

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Daniele A. Di Pietro

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Kirubell B. Haile

CoRR, 2024

Stability and interpolation properties of serendipity nodal virtual elements.

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[DOI]

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Appl. Math. Lett., August, 2023

The virtual element method.

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Acta Numer., May, 2023

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property.

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SIAM J. Numer. Anal., April, 2023

Stability and Interpolation Properties for Stokes-Like Virtual Element Spaces.

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[DOI]

Jian Meng

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Sebastian Naranjo Alvarez

J. Sci. Comput., February, 2023

The virtual element method for a 2D incompressible MHD system.

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Math. Comput. Simul., 2023

CIP-stabilized Virtual Elements for diffusion-convection-reaction problems.

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[DOI]

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M. Trezzi

CoRR, 2023

Robust Finite Elements for linearized Magnetohydrodynamics.

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[DOI]

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CoRR, 2023

Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation.

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CoRR, 2023

Adaptive VEM for variable data: convergence and optimality.

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CoRR, 2023

Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version.

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SIAM J. Numer. Anal., August, 2022

A fully-discrete virtual element method for the nonstationary Boussinesq equations.

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[DOI]

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Alberth Silgado

CoRR, 2022

Interpolation and stability estimates for edge and face virtual elements of general order.

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[DOI]

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Jian Meng

CoRR, 2022

The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model.

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CoRR, 2022

Virtual elements for Maxwell's equations.

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Comput. Math. Appl., 2022

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes.

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[DOI]

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Daniele A. Di Pietro

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Jérôme Droniou

CoRR, 2021

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis.

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[DOI]

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CoRR, 2021

SUPG-stabilized Virtual Elements for diffusion-convection problems: a robustness analysis.

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[DOI]

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CoRR, 2020

Interpolation and stability properties of low order face and edge virtual element spaces.

[BibT_eX]

[DOI]

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CoRR, 2020

Equilibrium analysis of an immersed rigid leaflet by the virtual element method.

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[DOI]

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CoRR, 2020

A C1 Virtual Element Method on polyhedral meshes.

[BibT_eX]

[DOI]

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Comput. Math. Appl., 2020

A posteriori error estimation and adaptivity in hp virtual elements.

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[DOI]

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Numerische Mathematik, 2019

Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates.

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[DOI]

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Gonzalo Rivera

Math. Comput., 2019

The Stokes Complex for Virtual Elements with Application to Navier-Stokes Flows.

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[DOI]

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J. Sci. Comput., 2019

Virtual Elements and curved edges.

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[DOI]

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CoRR, 2019

Curvilinear Virtual Elements for 2D solid mechanics applications.

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[DOI]

Edoardo Artioli

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CoRR, 2019

A virtual element method for the miscible displacement of incompressible fluids in porous media.

[BibT_eX]

[DOI]

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Alexander Pichler

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CoRR, 2019

Virtual Elements for the Navier-Stokes Problem on Polygonal Meshes.

[BibT_eX]

[DOI]

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SIAM J. Numer. Anal., 2018

A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics.

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SIAM J. Numer. Anal., 2018

Exponential convergence of the hp virtual element method in presence of corner singularities.

[BibT_eX]

[DOI]

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Alexey Chernov

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Numerische Mathematik, 2018

Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners.

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SIAM J. Sci. Comput., 2017

A virtual element method for the acoustic vibration problem.

[BibT_eX]

[DOI]

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Gonzalo Rivera

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Rodolfo Rodríguez

Numerische Mathematik, 2017

Mimetic finite difference methods for Hamiltonian wave equations in 2D.

[BibT_eX]

[DOI]

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Luciano Lopez

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Comput. Math. Appl., 2017

High-order Virtual Element Method on polyhedral meshes.

[BibT_eX]

[DOI]

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Comput. Math. Appl., 2017

A C1 Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes.

[BibT_eX]

[DOI]

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Simone Scacchi

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SIAM J. Numer. Anal., 2016

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

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Numerische Mathematik, 2016

Isogeometric BDDC Preconditioners with Deluxe Scaling.

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SIAM J. Sci. Comput., 2014

A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes.

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SIAM J. Numer. Anal., 2014

Mathematical analysis of variational isogeometric methods.

[BibT_eX]

[DOI]

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Annalisa Buffa

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Giancarlo Sangalli

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Rafael Vázquez Hernández

Acta Numer., 2014

A Posteriori Error Analysis for the Postprocessed MITC Plate Elements.

[BibT_eX]

[DOI]

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Jarkko Niiranen

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Rolf Stenberg

SIAM J. Numer. Anal., 2013

Virtual Elements for Linear Elasticity Problems.

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[DOI]

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SIAM J. Numer. Anal., 2013

Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems.

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SIAM J. Numer. Anal., 2013

A mimetic discretization of elliptic obstacle problems.

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[DOI]

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Math. Comput., 2013

Overlapping Schwarz Methods for Isogeometric Analysis.

[BibT_eX]

[DOI]

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D. Cho

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Luca F. Pavarino

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Simone Scacchi

SIAM J. Numer. Anal., 2012

Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes.

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[DOI]

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SIAM J. Numer. Anal., 2011

A mimetic discretization of the Reissner-Mindlin plate bending problem.

[BibT_eX]

[DOI]

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Numerische Mathematik, 2011

Some estimates for h-p-k-refinement in Isogeometric Analysis.

[BibT_eX]

[DOI]

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Annalisa Buffa

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Judith Rivas

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Giancarlo Sangalli

Numerische Mathematik, 2011

A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles.

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., 2010

Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes.

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[DOI]

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SIAM J. Numer. Anal., 2010

Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements.

[BibT_eX]

[DOI]

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C. Chinosi

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Luca F. Pavarino

SIAM J. Numer. Anal., 2010

Convergence analysis of the high-order mimetic finite difference method.

[BibT_eX]

[DOI]

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Numerische Mathematik, 2009

Mimetic finite difference method for the Stokes problem on polygonal meshes.

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J. Comput. Phys., 2009

A Higher-Order Formulation of the Mimetic Finite Difference Method.

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., 2008

A residual based error estimator for the Mimetic Finite Difference method.

[BibT_eX]

[DOI]

Numerische Mathematik, 2008

Free vibrations for some Koiter shells of revolution.

[BibT_eX]

[DOI]

Edoardo Artioli

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Harri Hakula

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Appl. Math. Lett., 2008

A Family of C0 Finite Elements For Kirchhoff Plates I: Error Analysis.

[BibT_eX]

[DOI]

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Jarkko Niiranen

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Rolf Stenberg

SIAM J. Numer. Anal., 2007

A posteriori error estimates for the Morley plate bending element.

[BibT_eX]

[DOI]

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Jarkko Niiranen

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Rolf Stenberg

Numerische Mathematik, 2007

Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity.

[BibT_eX]

[DOI]

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Luca F. Pavarino

Numerische Mathematik, 2006

Finite Element Methods for a Modified Reissner-Mindlin Free Plate Model.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2004

Uniform error estimates for a class of intermediate cylindrical shell problems.

[BibT_eX]

[DOI]