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1

A family of stable numerical solvers for the shallow water equations with source terms

Tomás Chacón Rebollo, Antonio Domı́nguez Delgado, Enrique D. Fernández Nieto

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2003

Language:

english

File:

PDF, 360 KB

english, 2003

2

A unified analysis of mixed and stabilized finite element solutions of Navier–Stokes equations

Tomás Chacón Rebollo, Antonio Domı́nguez Delgado

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2000

Language:

english

File:

PDF, 406 KB

english, 2000

3

On Well‐Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems

Castro Díaz, M. J., Chacón Rebollo, T., Fernández‐Nieto, E. D., Parés, Carlos

Journal:

SIAM Journal on Scientific Computing

Year:

2007

Language:

english

File:

PDF, 672 KB

english, 2007

4

Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of Aznalcóllar

M.J. Castro Díaz, T. Chacón Rebollo, E.D. Fernández-Nieto, J.M. González Vida, C. Parés

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2008

Language:

english

File:

PDF, 1.61 MB

english, 2008

5

Numerical solution of the Primitive Equations of the ocean by the Orthogonal Sub-Scales VMS method

Tomás Chacón Rebollo, Macarena Gómez Mármol, Isabel Sánchez Muñoz

Journal:

Applied Numerical Mathematics

Year:

2012

Language:

english

File:

PDF, 492 KB

english, 2012

6

Oscillations Due to the Transport of Microstructures

Rebollo, T. Chacon

Journal:

SIAM Journal on Applied Mathematics

Year:

1988

Language:

english

File:

PDF, 1.67 MB

english, 1988

7

Oscillations Due to the Transport of Microstructures

T. Chacon Rebollo

Journal:

SIAM Journal on Applied Mathematics

Year:

1988

Language:

english

File:

PDF, 411 KB

english, 1988

8

Numerical analysis of a finite element projection-based VMS turbulence model with wall laws

Chacón Rebollo, Tomás, Gómez Mármol, Macarena, Rubino, Samuele

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 615 KB

english, 2015

9

Finite Element Discretization of the Stokes and Navier--Stokes Equations with Boundary Conditions on the Pressure

Bernardi, Christine, Chacón Rebollo, Tomás, Yakoubi, Driss

Journal:

SIAM Journal on Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 512 KB

english, 2015

10

A New Algorithm of Proper Generalized Decomposition for Parametric Symmetric Elliptic Problems

Azaïez, M., Belgacem, F. Ben, Casado-Díaz, J., Rebollo, T. Chacón, Murat, F.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2018

Language:

english

File:

PDF, 374 KB

english, 2018

11

Assessment of self-adapting local projection-based solvers for laminar and turbulent industrial flows

Chacón Rebollo, Tomás, Delgado Ávila, Enrique, Gómez Mármol, Macarena, Rubino, Samuele

Journal:

Journal of Mathematics in Industry

Year:

2018

Language:

english

File:

PDF, 4.32 MB

english, 2018

12

A lagrangian finite element method for the 2-D euler equations

Tomas Chacon-Rebollo, Thomas Y. Hou

Journal:

Communications on Pure and Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.27 MB

english, 1990

13

A flux-splitting solver for shallow water equations with source terms

Tomás Chacón Rebollo, Enrique D. Fernández Nieto, Macarena Gómez Mármol

Journal:

International Journal for Numerical Methods in Fluids

Year:

2003

Language:

english

File:

PDF, 287 KB

english, 2003

14

Study of a non-overlapping domain decomposition method: Poisson and Stokes problems

Tomás Chacón Rebollo, Eliseo Chacón Vera

Journal:

Applied Numerical Mathematics

Year:

2004

Language:

english

File:

PDF, 389 KB

english, 2004

15

Study of a non-overlapping domain decomposition method: Steady Navier–Stokes equations

Tomás Chacón Rebollo, Eliseo Chacón Vera

Journal:

Applied Numerical Mathematics

Year:

2005

Language:

english

File:

PDF, 389 KB

english, 2005

16

Numerical investigation of the regularity of the pressure for the primitive equations of the ocean

T. Chacón Rebollo, D. Rodrı́guez-Gómez

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 620 KB

english, 2004

17

A FETI method with a mesh independent condition number for the iteration matrix

C. Bernardi, T. Chacón Rebollo, E. Chacón Vera

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2008

Language:

english

File:

PDF, 1.83 MB

english, 2008

18

Asymptotically balanced schemes for non-homogeneous hyperbolic systems – application to the Shallow Water equations

Tomás Chacón Rebollo, Antonio Domı́nguez Delgado, Enrique D. Fernández Nieto

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 134 KB

2004

19

On cubic spline approximations for the vortex patch problem

E. Chacón Vera, T. Chacón Rebollo

Journal:

Applied Numerical Mathematics

Year:

2001

Language:

english

File:

PDF, 391 KB

english, 2001

20

Modelling of compressible flows with highly oscillating initial data by homogenization

Tomás Chacón Rebollo, Daniel Franco Coronil, Francisco Ortegón Gallego, Isabel Sánchez Muñoz

Journal:

Applied Numerical Mathematics

Year:

1998

Language:

english

File:

PDF, 1.29 MB

english, 1998

21

An intrinsic analysis of existence of solutions for the hydrostatic approximation of Navier–Stokes equations

Tomás Chacón Rebollo, Francisco Guillén González

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

Language:

french

File:

PDF, 163 KB

french, 2000

22

A non-overlapping domain decomposition method for the Stokes equations via a penalty term on the interface

Tomás Chacón Rebollo, Eliseo Chacón Vera

Journal:

Comptes Rendus Mathematique

Year:

2002

Language:

french

File:

PDF, 77 KB

french, 2002

23

Derivation of the k–ε model for locally homogeneous turbulence by homogenization techniques

Tomás Chacón Rebollo, Daniel Franco Coronil

Journal:

Comptes Rendus Mathematique

Year:

2003

File:

PDF, 99 KB

2003

24

A model for two coupled turbulent fluids Part III: Numerical approximation by finite elements

C. Bernardi, T. Chacón Rebollo, M. Gómez Mármol, R. Lewandowski, F. Murat

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 1.02 MB

english, 2004

25

A stabilized space-time discretization for the primitive equations in oceanography

T. Chacón Rebollo, D. Rodríguez Gómez

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 580 KB

english, 2004

26

Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side inL1

J. Casado-Díaz, T. Chacón Rebollo, V. Girault, M. Gómez Mármol, F. Murat

Journal:

Numerische Mathematik

Year:

2007

Language:

english

File:

PDF, 479 KB

english, 2007

27

A term by term stabilization algorithm for finite element solution of incompressible flow problems

Tomás Chacón Rebollo

Journal:

Numerische Mathematik

Year:

1998

Language:

english

File:

PDF, 479 KB

english, 1998

28

Stability of some turbulent vertical models for the ocean mixing boundary layer

A.-C. Bennis, T. Chacón Rebollo, M. Gomez Marmol, R. Lewandowski

Journal:

Applied Mathematics Letters

Year:

2008

Language:

english

File:

PDF, 357 KB

english, 2008

29

A numerical solver for the primitive equations of the ocean using term-by-term stabilization

T. Chacón Rebollo, D. Rodríguez Gómez

Journal:

Applied Numerical Mathematics

Year:

2005

Language:

english

File:

PDF, 1.18 MB

english, 2005

30

A posteriori error analysis for two non-overlapping domain decomposition techniques

C. Bernardi, T. Chacón Rebollo, E. Chacón Vera, D. Franco Coronil

Journal:

Applied Numerical Mathematics

Year:

2009

Language:

english

File:

PDF, 1.53 MB

english, 2009

31

A Posteriori Analysis of a Positive Streamwise Invariant Discretization of a Convection-Diffusion Equation

Christine Bernardi, Tomás Chacón Rebollo, Marco Restelli

Journal:

Journal of Scientific Computing

Year:

2012

Language:

english

File:

PDF, 1.86 MB

english, 2012

32

An Efficient Two-Dimensional Vortex Method with Long Time Accuracy

Bless Ranero, Ibrahim, Chacón Rebollo, Tomás

Journal:

SIAM Journal on Numerical Analysis

Year:

1996

Language:

english

File:

PDF, 2.65 MB

english, 1996

33

A Bochev–Dohrmann–Gunzburger stabilization method for the primitive equations of the ocean

Chacón Rebollo, Tomás, Gómez Mármol, Macarena, Sánchez Muñoz, Isabel

Journal:

Applied Mathematics Letters

Year:

2013

Language:

english

File:

PDF, 514 KB

english, 2013

34

A variational finite element model for large-eddy simulations of turbulent flows

Tomás Chacón Rebollo, Roger Lewandowski

Journal:

Chinese Annals of Mathematics, Series B

Year:

2013

Language:

english

File:

PDF, 232 KB

english, 2013

35

A Multilayer Method for the Hydrostatic Navier-Stokes Equations: A Particular Weak Solution

Fernández-Nieto, E. D., Koné, E. H., Chacón Rebollo, T.

Journal:

Journal of Scientific Computing

Year:

2014

Language:

english

File:

PDF, 1.27 MB

english, 2014

36

Analysis of numerical stability of algebraic oceanic turbulent mixing layer models

Chacón Rebollo, T., Gómez Mármol, M., Rubino, S.

Journal:

Applied Mathematical Modelling

Year:

2014

Language:

english

File:

PDF, 821 KB

english, 2014

37

Numerical approximation of the Smagorinsky turbulence model applied to the primitive equations of the ocean

Chacón Rebollo, Tomás, Hecht, Frédéric, Gómez Mármol, Macarena, Orzetti, Giordano, Rubino, Samuele

Journal:

Mathematics and Computers in Simulation

Year:

2014

Language:

english

File:

PDF, 1.59 MB

english, 2014

38

[Modeling and Simulation in Science, Engineering and Technology] Mathematical and Numerical Foundations of Turbulence Models and Applications ||

Chacón Rebollo, Tomás, Lewandowski, Roger

Year:

2014

Language:

english

File:

PDF, 5.79 MB

english, 2014

39

An Efficient Two-Dimensional Vortex Method with Long Time Accuracy

Ibrahim Bless Ranero and Tomas Chacon Rebollo

Journal:

SIAM Journal on Numerical Analysis

Year:

1996

Language:

english

File:

PDF, 1.96 MB

english, 1996

40

[Modeling and Simulation in Science, Engineering and Technology] Mathematical and Numerical Foundations of Turbulence Models and Applications || Evolutionary NS-TKE Model

Chacón Rebollo, Tomás, Lewandowski, Roger

Year:

2014

Language:

english

File:

PDF, 771 KB

english, 2014

41

A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization

Bernardi, C., Rebollo, T. Chacon, Lewandowski, R., Murat, F.

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 330 KB

english, 2002

42

A variational multi-scale method with spectral approximation of the sub-scales: Application to the 1D advection–diffusion equations

Rebollo, Tomas Chácon, Dia, Ben Mansour

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 721 KB

english, 2015

43

A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization

C. Bernardi, T. Chacón Rebollo, R. Lewandowski and F. Murat

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 668 KB

english, 2003

44

AUTOMATIC INSERTION OF A TURBULENCE MODEL IN THE FINITE ELEMENT DISCRETIZATION OF THE NAVIER–STOKES EQUATIONS

BERNARDI, CHRISTINE, CHACÓN REBOLLO, TOMÁS, HECHT, FRÉDÉRIC, LEWANDOWSKI, ROGER

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2009

Language:

english

File:

PDF, 601 KB

english, 2009

45

Numerical Analysis of Penalty Stabilized Finite Element Discretizations of Evolution Navier–Stokes Equations

Chacón Rebollo, T., Gómez Mármol, M., Restelli, M.

Journal:

Journal of Scientific Computing

Year:

2015

Language:

english

File:

PDF, 1.32 MB

english, 2015

46

NUMERICAL ANALYSIS OF THE PSI SOLUTION OF ADVECTION–DIFFUSION PROBLEMS THROUGH A PETROV–GALERKIN FORMULATION

CHACÓN REBOLLO, TOMÁS, GÓMEZ MÁRMOL, MACARENA, NARBONA REINA, GLADYS

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2007

Language:

english

File:

PDF, 389 KB

english, 2007

47

Stabilization of a non standard FETI-DP mortar method for the Stokes problem

Chacón Vera, E., Chacón Rebollo, T.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 2.16 MB

english, 2014

48

A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows

Ahmed, Naveed, Chacón Rebollo, Tomás, John, Volker, Rubino, Samuele

Journal:

Archives of Computational Methods in Engineering

Year:

2017

Language:

english

File:

PDF, 1.16 MB

english, 2017

49

[IEEE 2002 IEEE Conference on Electrical Insulation and Dielectric Phenomena - Cancun, Mexico (20-24 Oct. 2002)] Annual Report Conference on Electrical Insulation and Dielectric Phenomena - Finite element-particle method calculation of EHD plumes

Vazquez, P.A., Chacon Vera, E., Castellanos, A., Chacon Rebollo, T.

Year:

2002

Language:

english

File:

PDF, 269 KB

english, 2002

50

Analysis of a Coupled Fluid-Structure Model with Applications to Hemodynamics

Chacón Rebollo, T., Girault, V., Murat, F., Pironneau, O.

Journal:

SIAM Journal on Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 1.13 MB

english, 2016