Research 

 

My research is focused in Numerical Analysis, mainly in the numerical solution of integral equations. Specifically:

Here you can find a PDF file with my CV.

I list below my papers and some of my proceedings in congress (not too many, as you can see). For some of them there is an available version in PDF format you can download. Please, do not hesitate to contact me if you are interested in one of non-downloadable paper.

 

Papers

 


2009
  • Víctor Domínguez, Norbert Heuer & F.J. Sayas. Hilbert scales and Sobolev spaces defined by associated Legendre functions. Submitted. Download.
2008

  • Víctor Domínguez & F.J. Sayas. Algorithm 884: A Simple Matlab Implementation of the Argyris Element. Acm Transactions on Mathematical Software 35, pp 16:1-16:11 (2008). Download a PDF version here

  • Natalia Boal, Víctor Domínguez, &  Francisco-Javier Sayas. Asymptotic properties of some triangulations of the sphere.  J. Comput. Appl. Math  211, pp 11-22 (2008). Download a PDF version here

  • Víctor Domínguez, María Luisa Rapún &  Francisco-Javier Sayas Dirac. Dirac delta methods for Helmholtz transmission problems.  Adv. Comput. Math. 28, pp. 119-139 (2008).

2007

  • Víctor Domínguez, Ivan. G. Graham &  Valery P. Smyshlyaev. A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering.  Numer. Math. 106, pp. 471--510 (2007). Download a PDF version here

  • Víctor Domínguez &  Francisco-Javier Sayas. Overlapped BEM-FEM for some Helmholtz transmission problems''.  Appl. Math. Comput 57 pp 131-146 (2007). Download a PDF version.

2006
2004

  • Ricardo Celorrio, Víctor Domínguez & Francisco-Javier Sayas. Overlapped BEM-FEM and some Schwarz iterations. Comput. Methods Appl. Math.  4 pp 3-22 (2004). Download a PDF version.

2003

  • Víctor Domínguez & Francisco-Javier Sayas. Stability of discrete lifting  C.R.A.S.Paris SerI. Math  337 pp 805-808 (2003). Download a PDF version.

  • Víctor Domínguez  High order quadrature and collocation methods for some logarithmic kernel integral equations. J. Comput. Appl. Math. 161 pp. 145-159 (2003) . Download a PDF version.

  • Víctor Domínguez & Francisco-Javier Sayas. An asymptotic series approach to qualocation methods. J. Integral Equations Appl. 15  pp. 113--151 (2003). Download a PDF version.

 

2002

  • Ricardo Celorrio, Víctor Domínguez & Francisco-Javier Sayas. An interior-exterior Schwarz algorithm and its convervence. C.R.A.S.Paris SerI. Math. 334 pp. 923-926 (2002). Download a PDF version.

  • Ricardo Celorrio, Víctor Domínguez & Francisco-Javier Sayas Periodic Dirac delta distributions in the boundary element method. Adv. Comput. Math. 17 pp. 211-236 (2002). Download a PDF version

2001

  •  Víctor Domínguez & Francisco-Javier Sayas. Full asymptotics of spline Petrov-Galerkin methods for some periodic pseudodifferential equations.  Adv. Comput. Math. 14  pp. 75-101 (2001).  Donwload a PDF version

  • Víctor Domínguez & Francisco-Javier Sayas. Local expansions of periodic spline interpolation with some applications. Math. Nach. 227 pp. 43-62. (2001).  Download a PDF version

 

    

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Publications in Proceedings

 

2007
  • Víctor Domínguez, Ivan G. Graham & Valery P. Smyshlyaev.  Robust boundary integral methods in high frequency acoustic scattering. Proceedings of Waves 2007. Reading, UK.
     
  • Víctor Domínguez, Ivan G. Graham. Numerical implementation of a Galerin scheme for solving BIE in high frequency problems. Proceedings of Waves 2007. Reading, UK.
2006
  • Víctor Domínguez, Ivan G. Graham & Valery P. Smyshlyaev. A robust boundary integral method fo high frequency acoustic scattering by convex curves. Extended abstracts for IABEM  2006. Graz, Austria
2005
  • Víctor Domínguez & Francisco Javier Sayas. Solapamiento de elementos finitos y elementos de contorno para la ecuación de Stokes (Finite element and boundary element overlapping for the Stokes equation). Actas del  XIX CEDYA/XIX CMA, 2005
2003

  • Víctor Domínguez, María Luisa Rapún & Francisco-Javier Sayas. Métodos de cuadratura para sistemas de ecuaciones integrales en el estudio de problemas de transmisión. (Quadrature methods for a system of integral equations in the study of a Transmission problem) Actas XVIII CEDYA-VIII CMA 2003.

  • Víctor Domínguez, Un método dual de colocación para la ecuación del ala generalizada.  (A dual collocation method for the generalized airfoil equation). Actas XVIII CEDYA-VIII CMA 2003.

  • Ricardo Celorrio, Víctor Domínguez & Francisco-Javier Sayas.  An improved quadrture method for integral equations with logarithmic kernerls. Actas de las VII Jornadas Zaragoza-Pau de Matemática Aplicada.  Universidad de Zaragoza, 2001. 

 

2001

  • Víctor Domínguez & Francisco-Javier Sayas. Boundary integral equations for the heat equation. Actas XVII CEDYA-VII CMA 2001.

  • Ricardo Celorrio, Víctor Domínguez & Francisco-Javier Sayas.  Asymptotics of finite element Lagrange interpolation under the action of an integral operator. Actes des VI Journées Zaragoza-Pau de Mathématiques Apliquées, Jaca, pp. 151-158 (1999), Université de Pau, 2001. 

1999

  • Ricardo Celorrio, Víctor Domínguez & Francisco-Javier Sayas. Métodos de cargas puntuales en simulación de problemas de "scattering" acústico (in spanish, "Pointwise carges methods in simulation of acoustic scattering problems"). Actas del  IV Congreso de métodos
    numéricos en Ingeniería    , Seville (Spain). June 1999. 

  • Ricardo Celorrio, Víctor Domínguez & Francisco-Javier Sayas. On the averaged delta method for some acoustic scattering problems. Proceedings of the 6th International Congress on Sound and Vibration (Copenhagen) 547-554 (1999). IIAV, 1999.

  • Víctor Domínguez & Francisco Javier Sayas Variantes del método de colocación para ecuaciones integrales de frontera. Actas del  XVI Congreso de Ecuaciones Diferenciales y Aplicaciones/VI Congreso de Matemática Aplicada, Ed. Universidad de Las Palmas de GC (1999) 1053--1060.

 

    

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