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1

On the mixed finite element method with Lagrange multipliers

Ivo Babuška, Gabriel N. Gatica

Journal:

Numerical Methods for Partial Differential Equations

Year:

2003

Language:

english

File:

PDF, 174 KB

english, 2003

2

Analysis of the HDG method for the stokes-darcy coupling

Gatica, Gabriel N., Sequeira, Filánder A.

Journal:

Numerical Methods for Partial Differential Equations

Year:

2017

Language:

english

File:

PDF, 5.00 MB

english, 2017

3

A Mixed Virtual Element Method for the Navier-Stokes Equations

Gatica, Gabriel N., Munar, Mauricio, Sequeira, Filander A.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2018

Language:

english

File:

PDF, 671 KB

english, 2018

4

Some improvements of the finite element solution for one-dimensional problems

Gabriel N. Gatica

Journal:

International Journal for Numerical Methods in Engineering

Year:

1987

Language:

english

File:

PDF, 863 KB

english, 1987

5

A posteriori error estimates for the mixed finite element method with Lagrange multipliers

Gabriel N. Gatica, Matthias Maischak

Journal:

Numerical Methods for Partial Differential Equations

Year:

2005

Language:

english

File:

PDF, 350 KB

english, 2005

6

The boundary element method with Lagrangian multipliers

Gabriel N. Gatica, Martin Healey, Norbert Heuer

Journal:

Numerical Methods for Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 163 KB

english, 2009

7

A Domain Decomposition Method Based on BEM and FEM for Linear Exterior Boundary Value Problems

Gabriel N. Gatica, George C. Hsiao, Mario E. Mellado

Journal:

Journal of Mathematical Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 137 KB

english, 2001

8

A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part II: a posteriori error analysis

Gabriel N. Gatica, Marı́a González, Salim Meddahi

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 515 KB

english, 2004

9

A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part I: a priori error analysis

Gabriel N. Gatica, Marı́a González, Salim Meddahi

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 327 KB

english, 2004

10

Enriched finite element subspaces for dual–dual mixed formulations in fluid mechanics and elasticity

Rommel Bustinza, Gabriel N. Gatica, María González, Salim Meddahi, Ernst P. Stephan

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2005

Language:

english

File:

PDF, 375 KB

english, 2005

11

A new dual-mixed finite element method for the plane linear elasticity problem with pure traction boundary conditions

Gabriel N. Gatica, Antonio Márquez, Salim Meddahi

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2008

Language:

english

File:

PDF, 1.04 MB

english, 2008

12

A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows

Leonardo E. Figueroa, Gabriel N. Gatica, Norbert Heuer

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2008

Language:

english

File:

PDF, 576 KB

english, 2008

13

Weak solvability of interior transmission problems via mixed finite elements and Dirichlet-to-Neumann mappings

Gabriel R. Barrenechea, Gabriel N. Gatica, George C. Hsiao

Journal:

Journal of Computational and Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 689 KB

english, 1998

14

A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems

Rommel Bustinza, Galina C. Garcia, Gabriel N. Gatica

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 1.07 MB

english, 2004

15

A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate

Mauricio A. Barrientos, Gabriel N. Gatica, Ernst P. Stephan

Journal:

Numerische Mathematik

Year:

2002

Language:

english

File:

PDF, 208 KB

english, 2002

16

A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes–Darcy coupled problem

Gabriel N. Gatica, Ricardo Oyarzúa, Francisco-Javier Sayas

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2011

Language:

english

File:

PDF, 1.10 MB

english, 2011

17

Variational formulations of transmission problems via FEM, BEM and DtN mappings

Gabriel N. Gatica

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2000

Language:

english

File:

PDF, 172 KB

english, 2000

18

A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body

Gatica, Gabriel N., Hsiao, George C., Meddahi, Salim

Journal:

SIAM Journal on Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 372 KB

english, 2010

19

A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem

Babuška, Ivo, Gatica, Gabriel N.

Journal:

SIAM Journal on Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 334 KB

english, 2010

20

[SpringerBriefs in Mathematics] A Simple Introduction to the Mixed Finite Element Method ||

Gatica, Gabriel N.

Year:

2014

Language:

english

File:

PDF, 1.72 MB

english, 2014

21

Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems

Gatica, Gabriel N., Gatica, Gabriel N., Wendland, Wolfgang L., Wendland, Wolfgang L.

Journal:

Applicable Analysis

Year:

1996

Language:

english

File:

PDF, 1.20 MB

english, 1996

22

The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems ∗

Gatica, Gabriel N., Hsiao, George C.

Journal:

Numerical Functional Analysis and Optimization

Year:

1992

Language:

english

File:

PDF, 1.44 MB

english, 1992

23

A gårding's inequality for variational problems with constraints

Gatica, Gabriel N., Hsiao, George C.

Journal:

Applicable Analysis

Year:

1994

Language:

english

File:

PDF, 544 KB

english, 1994

24

An a Priori Error Analysis for the Coupling of Local Discontinuous Galerkin and Boundary Element Methods

Gabriel N. Gatica and Francisco-Javier Sayas

Journal:

Mathematics of Computation

Year:

2006

Language:

english

File:

PDF, 532 KB

english, 2006

25

An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods

Gatica, Gabriel N., Sayas, Francisco-Javier

Journal:

Mathematics of Computation

Year:

2006

Language:

english

File:

PDF, 325 KB

english, 2006

26

A mixed finite element method for Darcy’s equations with pressure dependent porosity

Gatica, Gabriel N., Ruiz-Baier, Ricardo, Tierra, Giordano

Journal:

Mathematics of Computation

Year:

2015

Language:

english

File:

PDF, 12.63 MB

english, 2015

27

A mixed virtual element method for the Brinkman problem

Cáceres, Ernesto, Gatica, Gabriel N., Sequeira, Filánder A.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2017

Language:

english

File:

PDF, 1.23 MB

english, 2017

28

Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems

Gatica, Gabriel N., Gomez-Vargas, Bryan, Ruiz-Baier, Ricardo

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2018

Language:

english

File:

PDF, 2.08 MB

english, 2018

29

A mixed virtual element method for a nonlinear Brinkman model of porous media flow

Gatica, Gabriel N., Munar, Mauricio, Sequeira, Filánder A.

Journal:

Year:

2018

Language:

english

File:

PDF, 7.20 MB

english, 2018

30

The Coupling of Boundary Element and Finite Element Methods for a Nonlinear Exterior Boundary Value Problem

Gatica, Gabriel, Hsiao, George

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

1989

Language:

english

File:

PDF, 1015 KB

english, 1989

31

On the numerical solution of linear exterior problems via the uncoupling method

Gabriel N. Gatica, Mario E. Mellado

Journal:

International Journal for Numerical Methods in Engineering

Year:

1998

Language:

english

File:

PDF, 401 KB

english, 1998

32

An implicit–explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics

Gabriel N. Gatica, Norbert Heuer, Ernst P. Stephan

Journal:

Mathematical Methods in the Applied Sciences

Year:

2001

Language:

english

File:

PDF, 126 KB

english, 2001

33

Minimum residual iteration for a dual–dual mixed formulation of exterior transmission problems

Gabriel N. Gatica, Norbert Heuer

Journal:

Numerical Linear Algebra with Applications

Year:

2001

Language:

english

File:

PDF, 148 KB

english, 2001

34

Augmented mixed finite element methods for a vorticity-based velocity–pressure–stress formulation of the Stokes problem in 2D

Gabriel N. Gatica, Luis F. Gatica, Antonio Márquez

Journal:

International Journal for Numerical Methods in Fluids

Year:

2011

Language:

english

File:

PDF, 525 KB

english, 2011

35

A FEM–DtN formulation for a non-linear exterior problem in incompressible elasticity

Gabriel N. Gatica, Luis F. Gatica, Ernst P. Stephan

Journal:

Mathematical Methods in the Applied Sciences

Year:

2003

Language:

english

File:

PDF, 175 KB

english, 2003

36

On the a priori and a posteriori error analysis of a two-fold saddle-point approach for nonlinear incompressible elasticity

Gabriel N. Gatica, Luis F. Gatica

Journal:

International Journal for Numerical Methods in Engineering

Year:

2006

Language:

english

File:

PDF, 574 KB

english, 2006

37

A mixed-FEM formulation for nonlinear incompressible elasticity in the plane

Gabriel N. Gatica, Ernst P. Stephan

Journal:

Numerical Methods for Partial Differential Equations

Year:

2002

Language:

english

File:

PDF, 196 KB

english, 2002

38

Convergence of a family of Galerkin discretizations for the Stokes–Darcy coupled problem

Gabriel N. Gatica, Ricardo Oyarzúa, Francisco-Javier Sayas

Journal:

Numerical Methods for Partial Differential Equations

Year:

2011

Language:

english

File:

PDF, 606 KB

english, 2011

39

A Galerkin method with smoothing

Gabriel N Gatica

Journal:

Journal of Approximation Theory

Year:

1990

Language:

english

File:

PDF, 595 KB

english, 1990

40

A new nonconforming Galerkin scheme for the stokes problem: Partially circumventing the discrete Babǔska-Brezzi condition

Rodolfo A. Araya, Gabriel N. Gatica

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1993

Language:

english

File:

PDF, 1.16 MB

english, 1993

41

A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers

Tomás P. Barrios, Gabriel N. Gatica, Freddy Paiva

Journal:

Applied Mathematics Letters

Year:

2006

Language:

english

File:

PDF, 184 KB

english, 2006

42

Preface

Gabriel N. Gatica, Norbert Heuer, Rodolfo Rodríguez

Journal:

Applied Numerical Mathematics

Year:

2006

Language:

english

File:

PDF, 42 KB

english, 2006

43

Analysis of the coupling of BEM, FEM and mixed-FEM for a two-dimensional fluid–solid interaction problem

Gabriel N. Gatica, Antonio Márquez, Salim Meddahi

Journal:

Applied Numerical Mathematics

Year:

2009

Language:

english

File:

PDF, 295 KB

english, 2009

44

An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses

Tomás P. Barrios, Gabriel N. Gatica

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 597 KB

english, 2007

45

An augmented mixed finite element method for 3D linear elasticity problems

Gabriel N. Gatica, Antonio Márquez, Salim Meddahi

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 937 KB

english, 2009

46

A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions

Gabriel N. Gatica, Luis F. Gatica, Ernst P. Stephan

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2007

Language:

english

File:

PDF, 781 KB

english, 2007

47

Analysis of a velocity–pressure–pseudostress formulation for the stationary Stokes equations

Gabriel N. Gatica, Antonio Márquez, Manuel A. Sánchez

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2010

Language:

english

File:

PDF, 876 KB

english, 2010

48

A mixed local discontinuous Galerkin method for a class of nonlinear problems in fluid mechanics

Rommel Bustinza, Gabriel N. Gatica

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 753 KB

english, 2005

49

A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem

Rodolfo Araya, Tomás P. Barrios, Gabriel N. Gatica, Norbert Heuer

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2002

Language:

english

File:

PDF, 423 KB

english, 2002

50

An expanded mixed finite element approach via a dual–dual formulation and the minimum residual method

Gabriel N. Gatica, Norbert Heuer

Journal:

Journal of Computational and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 162 KB

english, 2001