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Research Output 2002 2018

  • 39 Article
  • 1 Conference contribution
2018
divergence
finite element method
velocity distribution
Finite element method
temperature
reaction-diffusion equations
finite element method
convection
Finite element method
formulations

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

Barrenechea, G. R., John, V., Knobloch, P. & Rankin, R., 9 May 2018, 31 p.

Research output: Contribution to journalArticle

Open Access
File
Convection-diffusion Equation
Limiter
Numerical Analysis
Numerical Study
Scalar
1 Citations
Domain decomposition methods
Discontinuous Galerkin
Stokes Problem
Galerkin methods
Domain Decomposition
Open Access
File
Domain Decomposition
Stokes
Preconditioner
Elasticity
Stokes Equations
Viscoelastic Flow
Viscoelastic Fluid
Fluid Flow
Flow of fluids
Interpolation
2017
1 Citations

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
Finite Element
Formulation
Deterioration
Convection-diffusion-reaction Equation
Stability and Convergence

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
Fictitious Domain
Fictitious Domain Method
Stabilized Finite Element Method
Penalization
Elliptic Partial Differential Equations
1 Citations
Open Access
File
convection-diffusion equation
Stabilized Finite Element Method
Convection-diffusion Equation
Projection Method
Positivity

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

Allendes, A., Barrenechea, G. R. & Rankin, R., 23 Mar 2017, (Accepted/In press) In : SIAM Journal on Scientific Computing. 26 p.

Research output: Contribution to journalArticle

Open Access
File

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
Stabilized Finite Element Method
Anisotropic Mesh
Quadrilateral Mesh
Stabilization
Oseen Equations
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
Limiter
Limiters
Fluxes
Convection-diffusion-reaction Equation
Discrete Maximum Principle

A note on the stabilised Q1-P0 method on quadrilaterals with high aspect ratios

Barrenechea, G. R. & Wachtel, A., 20 Apr 2016, Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014. Knobloch, P. (ed.). Cham: Springer-Verlag, Vol. 108. p. 1-11 11 p. (Lecture Notes in Computational Science and Engineering; vol. 108).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Aspect Ratio
Aspect ratio
Anisotropy
Stabilization
Anisotropic Mesh
11 Citations
Open Access
File
Nonlinear Diffusion
Convection-diffusion Equation
Finite Element Approximation
Fluxes
Discrete Maximum Principle
1 Citations

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
Cavity resonators
Self-adjoint Operator
Eigenvalue
Convergence Estimates
Cavity
2015
3 Citations

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
Incompressible flow
Mixed Finite Elements
Incompressible Flow
Aspect Ratio
Aspect ratio
2014
5 Citations

Finite element Eigenvalue enclosures for the Maxwell operator

Barrenechea, G., 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
Eigenfrequency
Cavity resonators
Enclosure
Enclosures
Pollution
6 Citations
Open Access
File
Maximum principle
Convection-diffusion Equation
One Dimension
Fluxes
Discrete Maximum Principle

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
Mindlin plates
Reissner-Mindlin Plate
Stabilized Finite Element Method
Bending moments
Moment
2013
File
Convection-diffusion-reaction Equation
Nonlinear Diffusion
Stabilization
Finite Element Method
Projection
7 Citations

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
Stabilized Finite Elements
Finite Element Approximation
Optimization Algorithm
Derivative-free Optimization
Adaptive Mesh Refinement
2012
10 Citations

A local projection stabilized method for fictitious domains

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

Research output: Contribution to journalArticle

Fictitious Domain
Stabilized Methods
Lagrange multipliers
Projection Method
Stabilization
3 Citations

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

Stokes Problem
Finite Element Approximation
Error Bounds
Lower bound
Estimator
14 Citations

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

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

Research output: Contribution to journalArticle

Projection Method
Convergence Analysis
Navier Stokes equations
Navier-Stokes Equations
Stabilized Finite Element Method
2011
3 Citations

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
Mixed Problem
Finite Element Method
Darcy Equation
Two-level Method
Finite element method
6 Citations

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

Oseen Equations
Projection Method
Stabilization
Stabilized Finite Element Method
Stabilized Finite Elements

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

Fluid-solid Interaction
Finite Element
Finite element method
Fluid
A Posteriori Error Estimators
2010
10 Citations

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

projection
economics
Condensation
condensation
velocity distribution
16 Citations

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
Stabilized Finite Element Method
Projection
Finite element method
Macroelements
Macros
2009
4 Citations

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
Navier-Stokes
Finite Element Method
Pipe
Finite element method
Flow simulation

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
Darcy Equation
Scale Function
Petrov-Galerkin
Finite Element Method
Finite element method
9 Citations

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
Stabilized Finite Element Method
Petrov-Galerkin
Singularly Perturbed Problem
Stokes Problem
Mixed Problem
2008
10 Citations

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
Stabilized Finite Element Method
Adaptive Finite Element Method
Stokes Problem
Estimator
Finite element method
2007
13 Citations

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

Galerkin method
Galerkin methods
finite element method
Finite element method
8 Citations

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

Stabilized Finite Element Method
A Posteriori Error Estimators
A Priori Error Estimates
Stokes Problem
Stress Tensor
8 Citations
incompressible flow
Incompressible flow
bubbles
Stabilization
stabilization
2006
46 Citations

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

Research output: Contribution to journalArticle

Stabilized Finite Element Method
Stokes Problem
Finite element method
Piecewise Linear
Interpolation
2005
9 Citations

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

Stabilized Finite Element Method
Stokes Problem
Optimal Error Estimates
Stabilization
Boundary Value Problem
2002
45 Citations

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

Stabilized Finite Element Method
Stokes Problem
Finite element method
Term
Mesh
9 Citations

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

Incompressible Navier-Stokes Equations
Navier Stokes equations
Rough
Boundary conditions
Stokes Problem