1996 …2022

Research output per year

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Research Output

  • 49 Article
  • 1 Conference contribution book
  • 1 Speech
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Article
2020

The multiscale hybrid mixed method in general polygonal meshes

Barrenechea, G. R., Jaillet, F., Paredes, D. & Valentin, F., 20 Jan 2020, In : Numerische Mathematik.

Research output: Contribution to journalArticle

2019
Open Access
File
5 Downloads (Pure)

Time-dependent semi-discrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilised formulation

Barrenechea, G. R., Castillo, E. & Codina, R., 1 Apr 2019, In : IMA Journal of Numerical Analysis. 39, 2, p. 792–819 28 p.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
13 Downloads (Pure)
2018
Open Access
File
2 Citations (Scopus)
13 Downloads (Pure)
Open Access
File
5 Citations (Scopus)
15 Downloads (Pure)

A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations

Barrenechea, G. R., John, V., Knobloch, P. & Rankin, R., 1 Dec 2018, In : SeMA Journal. 75, 4, p. 655–685 31 p.

Research output: Contribution to journalArticle

Open Access
File
13 Downloads (Pure)
Open Access
File
1 Citation (Scopus)
8 Downloads (Pure)
Open Access
File
15 Downloads (Pure)
2017
Open Access
File
12 Citations (Scopus)

Analysis of a group finite element formulation

Barrenechea, G. & Knobloch, P., 31 Aug 2017, In : Applied Numerical Mathematics. 118, p. 238-248 11 p.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
30 Downloads (Pure)

A stabilised finite element method for a fictitious domain problem allowing small inclusions

Barrenechea, G. & Gonzalez Aguayo, C., 27 Jun 2017, (Accepted/In press) In : Numerical Methods for Partial Differential Equations. 17 p.

Research output: Contribution to journalArticle

Open Access
File
13 Downloads (Pure)
Open Access
File
1 Citation (Scopus)
27 Downloads (Pure)
Open Access
File
18 Citations (Scopus)
79 Downloads (Pure)

Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation

Allendes, A., Barrenechea, G. R. & Rankin, R., 12 Sep 2017, In : SIAM Journal on Scientific Computing. 39, 5, p. A1903–A1927 25 p.

Research output: Contribution to journalArticle

Open Access
File
41 Downloads (Pure)

Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes

Barrenechea, G. & Wachtel, A., 19 Jun 2017, (Accepted/In press) In : ESAIM: Mathematical Modelling and Numerical Analysis. 29 p.

Research output: Contribution to journalArticle

Open Access
File
16 Downloads (Pure)
2016

Analysis of algebraic flux correction schemes

Barrenechea, G., Volker, J. & Knobloch, P., 16 Aug 2016, In : SIAM Journal on Numerical Analysis. 54, 4, p. 2427–2451 25 p.

Research output: Contribution to journalArticle

Open Access
File
23 Citations (Scopus)
85 Downloads (Pure)

Local two-sided bounds for eigenvalues of self-adjoint operators

Barrenechea, G., Boulton, L. & Boussaid, N., 18 Jun 2016, In : Numerische Mathematik. 34 p.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
25 Downloads (Pure)
2015

Stabilisation of high aspect ratio mixed finite elements for incompressible flow

Ainsworth, M., Barrenechea, G. R. & Wachtel, A., 2015, In : SIAM Journal on Numerical Analysis. 53, 2, p. 1107–1120 14 p.

Research output: Contribution to journalArticle

Open Access
File
3 Citations (Scopus)
56 Downloads (Pure)
2014

Finite element Eigenvalue enclosures for the Maxwell operator

Barrenechea, G. R., Boulton, L. & Boussaid, N., 2014, In : SIAM Journal on Scientific Computing. 36, 6, p. A2887–A2906 20 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
156 Downloads (Pure)
Open Access
File
8 Citations (Scopus)
93 Downloads (Pure)

Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model

Barrenechea, G. R., Barrios, T. P. & Wachtel, A., 6 Aug 2014, In : Calcolo. 25 p.

Research output: Contribution to journalArticle

Open Access
File
121 Downloads (Pure)
2013
File
112 Downloads (Pure)

On the adaptive selection of the parameter in stabilized finite element approximations

Ainsworth, M., Allendes Flores, A. I., Barrenechea, G. & Rankin, R. A. R., 2013, In : SIAM Journal on Numerical Analysis. 51, 3, p. 1585-1609 25 p.

Research output: Contribution to journalArticle

Open Access
File
8 Citations (Scopus)
51 Downloads (Pure)
2012

A local projection stabilized method for fictitious domains

Barrenechea, G. R. & Chouly, F., 26 Dec 2012, In : Applied Mathematics Letters. 25, 12, p. 2071-2076 6 p.

Research output: Contribution to journalArticle

Open Access
File
11 Citations (Scopus)

Computable error bounds for nonconfirming Fortin-Soulie finite element approximation of the Stokes problem

Ainsworth, M., Allendes Flores, A. I., Barrenechea, G. & Rankin, R. A. R., 2012, In : IMA Journal of Numerical Analysis . 32, 2, p. 414-447 34 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Convergence analysis of a residual local projection method for the Navier-Stokes equation

Araya, R., Barrenechea, G. R., Poza, A. H. & Valentin, F., 2012, In : SIAM Journal on Numerical Analysis. 50, 2, p. 669-699 31 p.

Research output: Contribution to journalArticle

Open Access
File
15 Citations (Scopus)
2011

A two-level enriched finite element method for a mixed problem

Allendes Flores, A. I., Barrenechea, G., Hernández, E. & Valentin, F., Jul 2011, In : Mathematics of Computation. 80, p. 11-41 31 p.

Research output: Contribution to journalArticle

File
3 Citations (Scopus)
88 Downloads (Pure)

Beyond pressure stabilization: a low-order local projection method for the Oseen equation

Barrenechea, G. & Valentin, F., 20 May 2011, In : International Journal for Numerical Methods in Engineering. 86, 7, p. 801–815 15 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Finite-element analysis of a static fluid–solid interaction problem

Araya, R., Barrenechea, G., Jaillet, F. & Rodriguez, R., 2011, In : IMA Journal of Numerical Analysis. 31, 3, p. 886-913 28 p.

Research output: Contribution to journalArticle

2010

A residual local projection method for the Oseen equation

Barrenechea, G. & Valentin, F., 1 Jun 2010, In : Computer Methods in Applied Mechanics and Engineering. 199, 29-32, p. 1906-1921 16 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Consistent local projection stabilized finite element methods

Barrenechea, G. & Valentin, F., 2010, In : SIAM Journal on Numerical Analysis. 48, 5, p. 1801-1825 25 p.

Research output: Contribution to journalArticle

File
17 Citations (Scopus)
113 Downloads (Pure)
2009

A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations

Barrenechea, G. R. & Chouly, F., 16 Jan 2009, In : Zeitschrift fur Angewandte Mathematik und Mechanik. 89, 1, p. 54-68 15 p.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
173 Downloads (Pure)

A symmetric nodal conservative finite element method for the Darcy equation

Barrenechea, G. R., Franca, L. P. & Valentin, F., 2009, In : SIAM Journal on Numerical Analysis. 47, 5, p. 3652-3677 26 p.

Research output: Contribution to journalArticle

Open Access
File
44 Downloads (Pure)

Stabilization arising from PGEM: a review and further developments

Araya, R., Barrenechea, G. R., Franca, L. P. & Valentin, F., Sep 2009, In : Applied Numerical Mathematics. 59, 9, p. 2065-2081 16 p.

Research output: Contribution to journalArticle

Open Access
File
9 Citations (Scopus)
166 Downloads (Pure)
2008

An adaptive stabilized finite element method for the generalized Stokes problem

Araya, R., Barrenechea, G. R. & Poza, A., 1 May 2008, In : Journal of Computational and Applied Mathematics. 214, 2, p. 457-479 22 p.

Research output: Contribution to journalArticle

Open Access
File
12 Citations (Scopus)
68 Downloads (Pure)
2007

A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation

Barrenechea, G. R., Franca, L. P. & Valentin, F., 2007, In : Journal of Sound and Vibration. 196, 21-24, p. 2449-2464 15 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

A stabilized finite-element method for the Stokes problem including element and edge residuals

Araya, R., Barrenechea, G. & Valentin, F., Jan 2007, In : IMA Journal of Numerical Analysis. 27, 1, p. 172-197 26 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
8 Citations (Scopus)
2006

Stabilized finite element methods based on multiscale enrichment for the Stokes problem

Araya, R., Barrenechea, G. R. & Valentin, F., 2006, In : SIAM Journal on Numerical Analysis. 44, 1, p. 322–348 27 p.

Research output: Contribution to journalArticle

Open Access
File
46 Citations (Scopus)
1 Downloads (Pure)
2005

Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem

Barrenechea, G. & Valentin, F., 15 Nov 2005, In : Comptes Rendus Mathematique. 341, 10, p. 635-640 6 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2002

An unusual stabilized finite element method for a generalized Stokes problem

Barrenechea, G. R. & Valentin, F., 2002, In : Numerische Mathematik. 92, 4, p. 653-677 24 p.

Research output: Contribution to journalArticle

46 Citations (Scopus)

New wall laws for the unsteady incompressible Navier-Stokes equations on rough domains

Barrenechea, G. R., Le Tallec, P. & Valentin, F., 2002, In : ESAIM: Mathematical Modelling and Numerical Analysis. 36, 2, p. 177-203 26 p.

Research output: Contribution to journalArticle

Open Access
File
9 Citations (Scopus)
2001

A primal mixed formulation for exterior transmission problems in R2

Barrenechea, G. & Gatica, G., 2001, In : Numerische Mathematik. 88, 2, p. 237-253 17 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
1999

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

Barrenechea, G. R., Gatica, G. N. & Hsiao, G. C., 3 Mar 1999, In : Journal of Computational and Applied Mathematics. 100, 2, p. 145-160 16 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
1998

On the numerical analysis of finite element and Dirichlet-to-Neumann methods for nonlinear exterior tramnsmission problems

Barrenechea, G. R., Barrientos, M. A. & Gatica, G. N., 1998, In : numerical functional analysis and optimization. 19, 7-8, p. 705-735 30 p.

Research output: Contribution to journalArticle

Primal mixed formulations for the coupling of FEM and BEM. Part I: linear problems

Barrenechea, G. R., Gatica, G. N. & Thomas, J-M., 1998, In : numerical functional analysis and optimization. 19, 1-2, p. 7-32 26 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)
1996

On the coupling of boundary integral and finite element methods with nonlinear transmission conditions

Barrenechea, G. R. & Gatica, G. N., 1 May 1996, In : Applicable Analysis . 62, 1-2, p. 181-210 30 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)