19962020

Research output per year

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Research Output

  • 49 Article
  • 1 Conference contribution book
  • 1 Speech
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3 Citations (Scopus)
13 Downloads (Pure)

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
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4 Citations (Scopus)
173 Downloads (Pure)
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112 Downloads (Pure)

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
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11 Citations (Scopus)

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)
Open Access
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14 Citations (Scopus)
1 Downloads (Pure)

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
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4 Citations (Scopus)
41 Downloads (Pure)

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
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26 Citations (Scopus)
89 Downloads (Pure)

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

47 Citations (Scopus)

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 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)

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)

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
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21 Downloads (Pure)
Open Access
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5 Citations (Scopus)
17 Downloads (Pure)

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)

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
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44 Downloads (Pure)

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)

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
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13 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)
Open Access
File
1 Citation (Scopus)
29 Downloads (Pure)

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)

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)
115 Downloads (Pure)

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
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15 Citations (Scopus)
Open Access
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19 Citations (Scopus)
79 Downloads (Pure)

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

1 Citation (Scopus)

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)

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
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41 Downloads (Pure)
Open Access
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1 Citation (Scopus)
8 Downloads (Pure)
Open Access
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9 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)

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)
Open Access
File
17 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)

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)

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

8 Citations (Scopus)

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)

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)
Open Access
File
9 Citations (Scopus)
93 Downloads (Pure)

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)

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)

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)

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)
168 Downloads (Pure)

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
47 Citations (Scopus)
1 Downloads (Pure)
Open Access
File

The multiscale hybrid mixed method in general polygonal meshes

Barrenechea, G. R., Jaillet, F., Paredes, D. & Valentin, F., 1 May 2020, In : Numerische Mathematik. 145, 1, p. 197-237 41 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

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)
14 Downloads (Pure)

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)