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1

BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

BEIRÃO DA VEIGA, L., BREZZI, F., CANGIANI, A., MANZINI, G., MARINI, L. D., RUSSO, A.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2013

Language:

english

File:

PDF, 221 KB

english, 2013

2

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

Beirão da Veiga, L., Brezzi, F., Marini, L. D., Russo, A.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2015

Language:

english

File:

PDF, 647 KB

english, 2015

3

The Hitchhiker's Guide to the Virtual Element Method

Beirão da Veiga, L., Brezzi, F., Marini, L. D., Russo, A.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2014

Language:

english

File:

PDF, 442 KB

english, 2014

4

A stability study of some mixed finite elements for large deformation elasticity problems

F. Auricchio, L. Beirão da Veiga, C. Lovadina, A. Reali

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2005

Language:

english

File:

PDF, 423 KB

english, 2005

5

A fully “locking-free” isogeometric approach for plane linear elasticity problems: A stream function formulation

F. Auricchio, L. Beirão da Veiga, A. Buffa, C. Lovadina, A. Reali, G. Sangalli

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2007

Language:

english

File:

PDF, 1.61 MB

english, 2007

6

Mathematical analysis of variational isogeometric methods

da Veiga, L. Beirão, Buffa, A., Sangalli, G., Vázquez, R.

Journal:

Year:

2014

Language:

english

File:

PDF, 1.51 MB

english, 2014

7

\(H({\text {div}})\)and\(H(\mathbf{curl})\)-conforming virtual element methods

da Veiga, L. Beirão, Brezzi, F., Marini, L. D., Russo, A.

Journal:

Numerische Mathematik

Year:

2016

Language:

english

File:

PDF, 721 KB

english, 2016

8

Virtual element methods for parabolic problems on polygonal meshes

Vacca, Giuseppe, Beirão da Veiga, Lourenco

Journal:

Numerical Methods for Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 369 KB

english, 2015

9

Divergence free virtual elements for the stokes problem on polygonal meshes

da Veiga, Lourenco Beirão, Lovadina, Carlo, Vacca, Giuseppe

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2017

Language:

english

File:

PDF, 1.36 MB

english, 2017

10

The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations

F. Auricchio, L. Beirão da Veiga, C. Lovadina, A. Reali

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2010

Language:

english

File:

PDF, 281 KB

english, 2010

11

On the singular limit for slightly compressible fluids

H. Beirão da Veiga

Journal:

Calculus of Variations and Partial Differential Equations

Year:

1994

Language:

english

File:

PDF, 761 KB

english, 1994

12

An isogeometric method for the Reissner–Mindlin plate bending problem

L. Beirão da Veiga, A. Buffa, C. Lovadina, M. Martinelli, G. Sangalli

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2012

Language:

english

File:

PDF, 528 KB

english, 2012

13

ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES

BAZILEVS, Y., BEIRÃO DA VEIGA, L., COTTRELL, J. A., HUGHES, T. J. R., SANGALLI, G.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2006

Language:

english

File:

PDF, 2.88 MB

english, 2006

14

Isogeometric collocation methods for the Reissner–Mindlin plate problem

Kiendl, J., Auricchio, F., Beirão da Veiga, L., Lovadina, C., Reali, A.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 659 KB

english, 2015

15

A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS

Beirão Da Veiga, L., Hughes, T. J. R., Kiendl, J., Lovadina, C., Niiranen, J., Reali, A., Speleers, H.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2015

Language:

english

File:

PDF, 991 KB

english, 2015

16

A Virtual Element Method for elastic and inelastic problems on polytope meshes

Beirão da Veiga, L., Lovadina, C., Mora, D.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 908 KB

english, 2015

17

Arbitrary order 2D virtual elements for polygonal meshes: part II, inelastic problem

Artioli, E., da Veiga, L. Beirão, Lovadina, C., Sacco, E.

Journal:

Computational Mechanics

Year:

2017

Language:

english

File:

PDF, 1.14 MB

english, 2017

18

The Virtual Element Method with curved edges

Beirão da Veiga, L., Russo, A., Vacca, G.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2019

Language:

english

File:

PDF, 1.93 MB

english, 2019

19

Differentiability for Green's operators of variational inequalities and applications to the determination of bifurcation points

Hugo Beirão da Veiga

Journal:

Journal of Functional Analysis

Year:

1979

Language:

english

File:

PDF, 298 KB

english, 1979

20

An analysis of some mixed-enhanced finite element for plane linear elasticity

F. Auricchio, L. Beirão da Veiga, C. Lovadina, A. Reali

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2005

Language:

english

File:

PDF, 488 KB

english, 2005

21

Towards improving the MITC6 triangular shell element

L. Beirão da Veiga, D. Chapelle, I. Paris Suarez

Journal:

Computers & Structures

Year:

2007

Language:

english

File:

PDF, 1.58 MB

english, 2007

22

Regularity theorems, up to the boundary, for shear thickening flows

Hugo Beirão da Veiga, Petr Kaplický, Michael Růžička

Journal:

Comptes Rendus Mathematique

Year:

2010

Language:

english

File:

PDF, 133 KB

english, 2010

23

Mimetic finite difference method for the Stokes problem on polygonal meshes

L. Beirão da Veiga, V. Gyrya, K. Lipnikov, G. Manzini

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 865 KB

english, 2009

24

Navier–Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary

Hugo Beirão da Veiga, Luigi C. Berselli

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 298 KB

english, 2009

25

On the existence of branches of time-periodic solutions to the nonlinear vibrating string equations

Hugo Beirão Da Veiga

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

1994

Language:

english

File:

PDF, 933 KB

english, 1994

26

AnLp-theory for then-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions

H. Beirão da Veiga

Journal:

Communications in Mathematical Physics

Year:

1987

Language:

english

File:

PDF, 1.11 MB

english, 1987

27

Navier–Stokes Equations with Shear Thinning Viscosity. Regularity up to the Boundary

H. Beirão da Veiga

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2009

Language:

english

File:

PDF, 198 KB

english, 2009

28

Boundary Regularity of Shear Thickening Flows

Hugo Beirão da Veiga, Petr Kaplický, Michael Růžička

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2011

Language:

english

File:

PDF, 333 KB

english, 2011

29

Regularity of solutions to a non homogeneous boundary value problem for general Stokes systems in Rn+

H. Beirão da Veiga

Journal:

Mathematische Annalen

Year:

2005

Language:

english

File:

PDF, 154 KB

english, 2005

30

On the global regularity of shear thinning flows in smooth domains

H. Beirão da Veiga

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 362 KB

english, 2009

31

Anisotropic NURBS approximation in isogeometric analysis

L. Beirão da Veiga, D. Cho, G. Sangalli

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2012

Language:

english

File:

PDF, 1.24 MB

english, 2012

32

A Family of ${C}^0$ Finite Elements For Kirchhoff Plates I: Error Analysis

da Veiga, L. Beirão, Niiranen, J., Stenberg, R.

Journal:

SIAM Journal on Numerical Analysis

Year:

2007

Language:

english

File:

PDF, 262 KB

english, 2007

33

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

da Veiga, L. Beirao

Journal:

SIAM Journal on Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 222 KB

english, 2004

34

Isogeometric Schwarz preconditioners for linear elasticity systems

L. Beirão da Veiga, D. Cho, L.F. Pavarino, S. Scacchi

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2013

Language:

english

File:

PDF, 846 KB

english, 2013

35

Locking-free isogeometric collocation methods for spatial Timoshenko rods

Auricchio, F., Beirão da Veiga, L., Kiendl, J., Lovadina, C., Reali, A.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2013

Language:

english

File:

PDF, 1.07 MB

english, 2013

36

Sul Problema Misto Per le Equazioni Lineari Ellittiche del Secondo Ordine

Hugo Beirão-Da-Veiga

Journal:

American Journal of Mathematics

Year:

1975

File:

PDF, 569 KB

1975

37

Applied Nonlinear Analysis ||

Sequeira, Adélia, da Veiga, Hugo Beirão, Videman, Juha Hans

Year:

2002

Language:

english

File:

PDF, 13.72 MB

english, 2002

38

Basic principles of hp virtual elements on quasiuniform meshes

Beirão da Veiga, L., Chernov, A., Mascotto, L., Russo, A.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2016

Language:

english

File:

PDF, 715 KB

english, 2016

39

Mixed virtual element methods for general second order elliptic problems on polygonal meshes

Beirão da Veiga, Lourenço, Brezzi, Franco, Marini, Luisa Donatella, Russo, Alessandro

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 401 KB

english, 2016

40

Applied Nonlinear Analysis || Solution of Convection-Diffusion Problems with the Memory Terms

Sequeira, Adélia, da Veiga, Hugo Beirão, Videman, Juha Hans

Year:

2002

Language:

english

File:

PDF, 424 KB

english, 2002

41

High-order Virtual Element Method on polyhedral meshes

Beirão da Veiga, L., Dassi, F., Russo, A.

Journal:

Computers & Mathematics with Applications

Year:

2017

Language:

english

File:

PDF, 2.57 MB

english, 2017

42

Applied Nonlinear Analysis || Viscosity Solutions for Degenerate and Nonmonotone Elliptic Equations

Sequeira, Adélia, da Veiga, Hugo Beirão, Videman, Juha Hans

Year:

2002

Language:

english

File:

PDF, 573 KB

english, 2002

43

Lowest order Virtual Element approximation of magnetostatic problems

Beirão da Veiga, L., Brezzi, F., Dassi, F., Marini, L.D., Russo, A.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2018

Language:

english

File:

PDF, 1.87 MB

english, 2018

44

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

da Veiga, L. Beirão, Chernov, A., Mascotto, L., Russo, A.

Journal:

Numerische Mathematik

Year:

2018

Language:

english

File:

PDF, 850 KB

english, 2018

45

A simple and effective gradient recovery scheme and a posteriori error estimator for the Virtual Element Method (VEM)

Chi, Heng, Beirão da Veiga, Lourenço, Paulino, Glaucio H.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2018

Language:

english

File:

PDF, 33.26 MB

english, 2018

46

On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions

H. Beirão da Veiga

Journal:

Communications on Pure and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 195 KB

english, 2005

47

Perturbation theorems for linear hyperbolic mixed problems and applications to the compressible euler equations

H. Beirão Da Veiga

Journal:

Communications on Pure and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 1.47 MB

english, 1993

48

On the sharp singular limit for slightly compressible fluids

H. Beirão da Veiga

Journal:

Mathematical Methods in the Applied Sciences

Year:

1995

Language:

english

File:

PDF, 479 KB

english, 1995

49

Integration schemes for von-Mises plasticity models based on exponential maps: numerical investigations and theoretical considerations

E. Artioli, F. Auricchio, L. Beirão da Veiga

Journal:

International Journal for Numerical Methods in Engineering

Year:

2005

Language:

english

File:

PDF, 396 KB

english, 2005

50

A novel ‘optimal’ exponential-based integration algorithm for von-Mises plasticity with linear hardening: Theoretical analysis on yield consistency, accuracy, convergence and numerical investigations

E. Artioli, F. Auricchio, L. Beirão da Veiga

Journal:

International Journal for Numerical Methods in Engineering

Year:

2006

Language:

english

File:

PDF, 804 KB

english, 2006

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