Numerical Methods for Partial Differential and Integral Equations

 

Proceedings of international meetings and chapters of books

Work in
Progress
   
To appear  
2009
  • Ciegis, R.; Gaspar, F.J.; Rodrigo C. Parallel Multiblock Multigrid Algorithms for Poroelastic Models Parallel Scientific Computing and Optimization (Ciegis, R.; Henry, D.; Kägström, B.; Zilinskas, J. eds). Springer. New York (2009) 169-180.
  • Domínguez, V. ; Graham, I.G.; Kim, T. ; Smyshlaev, V.P. Recent progress on hybrid numerical-asymptotic methods for high-frequency scattering problems. Proceedings of UKBIM7. (Nottingham, UK, 2009) 15-21
2008
  • Carpio, A.; Rapún, M.L. Topological derivatives for shape reconstruction. Inverse Problems and Imaging. Lecture Notes in Mathematics 1943, Springer (2008) 85-131
  • Carpio, A.; Rapún, M.L. Topological derivative based methods for non-destructive testing. Proceedings of ENUMATH 2007 (Kunish K., Of G. and Steinbach O. eds). Springer (2008) 687-695
  • Celorrio, R.; Costa, M.; Shibli, S.M.; Apiñaiz, E.; Mendioroz, A.; Salazar, A. Characterization of subsurface overlapping cylindrical inclusions by infrared thermography.  Proceedings of the 9th International Conference on Quantitative Infrared Thermography: QIRT2008. 585-586, 2008.
  • Clavero, C.; Bawa, R.K.; Natesan, S. An almost second order uniform convergent computational technique for global solution and global normalized flux of singularly perturbed reaction-diffusion problems. Proceedings of CMMSE 2008 (2008), 125--138.
  • Rapún, M.L.; Sayas, F.J. Exterior Dirichlet and Neumann problems for the Hemholtz equation as limits of transmission problems. Integral Methods in Science and Engineering. Techniques and Applications. (Constanda, C.; Potapenko, S., eds) Birkhauser, Boston (2008) 207--216
  • Salazar, A.; Celorrio, R.; Mendioroz, A.; Apiñaiz, E.; Oleaga, A. Reconstruction of the hardening depth profile of steel rods. Proceedings of the 9th International Conference on Quantitative Infrared Thermography: QIRT2008. 615-616, 2008.
  • Sayas, F.J. Direct Boundary Element Method with discretization of all integral operators. Integral Methods in Science and Engineering. Techniques and Applications. (Constanda, C.; Potapenko, S., eds) Birkhauser, Boston (2008) 217-226
2007
  • Bustinza, R.; Gatica, G.N.; Sayas, F.J. A look at how LDG and BEM can be coupled. ESAIM: Proceedings 21 (2007) 88-97
  • Domínguez, V.; Graham, I.G.; Numerical implementation of a Galerkin scheme for solving BIE in high frequency problems, Proceedings of Waves 2007, the 8th International Conference on Mathematical and Numerical Aspects of Waves (Biggs, N. ; Bonnet-Bendhia, A.-S.; Chamberlain, P.; Chandler-Wilde, S.N.; Cohen, G.; Luneville, E.; Pelloni, B.; Potherat, D. and Potthast, R. eds), University of Reading - INRIA (2007) 59-61
  • Domínguez, V.; Graham, I.G.; Smyshlyaev, V.P; Robust boundary integral methods in high frequency acoustic scattering, Proceedings of Waves 2007, the 8th International Conference on Mathematical and Numerical Aspects of Waves (Biggs, N. ; Bonnet-Bendhia, A.-S.; Chamberlain, P.; Chandler-Wilde, S.N.; Cohen, G.; Luneville, E.; Pelloni, B.; Potherat, D. and Potthast, R. eds), University of Reading - INRIA (2007) 62-62.
2006
  • Bustinza, R.; Gatica, G.N.; Sayas, F.J. A LDG-BEM coupling for a Class of Nonlinear Exterior Transmission Problems. Proceedings of  ENUMATH 2005, (Bermúdez de Castro, A.; Gómez, D.; Quintela, P.; Salgado, P. eds) Springer (2006) 1129-1136. 
  • Clavero, C.; Gracia, J.L.; Lisbona, F.J. A second order uniform convergent method for a singularly perturbed parabolic system of reaction-diffusion type. Proceedings of BAIL 2006 (Göttingen, Germany, 2006). (electronic)
  • Clavero, C.; Gracia, J.L.; O'Riordan, E. The Defect-Correction Technique Applied to Singularly Perturbed Elliptic Problems of Convection-Diffusion Type. Ninth International Conference Zaragoza-Pau on Applied Mathematics and Statistics. Jaca (Spain), 2005. Monografías del Seminario Matemático García de Galdeano, 33 (2006) 411-418
  • Domínguez, V.; Graham I.G.; Smyshlyaev, V. A robust boundary integral method for high frequency acoustic scattering. IABEM 2006, (Schanz, M.; Steinbach, O.; Beer, G.; Langer, U. eds), Graz University of Technology (2006), 233-236
  • Natesan, S.; Bawa, R.K. ; Clavero, C. An $\epsilon$-Uniform Hybrid Scheme for Singularly Perturbed 1-D Reaction-Diffusion Problems, Proceedings of  ENUMATH 2005, (Bermúdez de Castro, A.; Gómez, D.; Quintela, P.; Salgado, P. eds) Springer (2006) 1079-1087. 
  • Rapún, M.L.; Sayas, F.J. Indirect methods with Brakhage-Werner potentials for Helmholtz transmission problems, Proceedings of  ENUMATH 2005, (Bermúdez de Castro, A.; Gómez, D.; Quintela, P.; Salgado, P. eds) Springer (2006) 1146-1154. 
2004
  • Boal, N; Sayas, F.-J. Adaptive numerical integration on spherical triangles. VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques (Jaca, 2003). Monografías Sem. Mat. G. Galdeano 31, (2004) 61-70
  • Celorrio, R; Rapún, M.L.; Sayas, F-J. A mixed BEM applied to scattering of thermal waves in composite materials. Integral methods in science and engineering (Saint Étienne, 2002), 31--36, Birkhäuser Boston, Boston, MA, 2004
  • Gracia, J.L., Clavero, C. Richardson extrapolation on generalized Shishkin meshes for singularly perturbed problems, VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques (Jaca, 2003). Monografías Sem. Mat. G. Galdeano 31, (2004) 169-178.
2003
  • Celorrio, R.; Domínguez, V.; Sayas, F.-J. An improved quadrature method for integral equations with logarithmic kernel. Actas de las VII Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (Jaca, 2001). Monografías Sem. Mat. G. Galdeano 27 (2003) 185-192.
  • Celorrio, R.; Rapún, M.L.; Sayas, F.-J. An integral method for exterior transmission problems with applications to scattering of thermal waves. Actas de las VII Jornadas Zaragoza-Pau de Matemática Aplicada (Jaca, 2001). Monografías Sem. Mat. G. Galdeano 27 (2003) 193-200.
  • Clavero, C.; Gracia, J.L. A HODIE method for 2D Parabolic Problems of Convection-Diffusion Type. Actas de las VII Jornadas Zaragoza-Pau de Matemática Aplicada (Jaca, 2001). Monografías Sem. Mat. G. Galdeano 27 (2003) 217-224.
  • Oosterlee, W; Gaspar, F.J; Frisch, J.C. WENO and blended BDF discretizations for option pricing problems. Proc. ENUMATH 2001 (Ischia, Italy) (F. Brezzi, A. Buffa, S. Corsaro, A. Murli, eds)  Springer Verlag (2003) 419-428
2002
  • Bujanda, B.; Clavero, C.; Gracia, J.L.; Jorge, J.C. High Order Uniformly Convergent Fractional Step RK Methods and HODIE Finite Difference Schemes for 2D Evoluationary Convection-Difussion Problems. Vigo-Aguiar, J. Wade. B.A. (eds) Proceedings of the 2002 Conference on Computational and Mathematical Methods in Science and Engineering (Alicante, 2002) CMMSE 2002, vol I (2002) 149-158. 
2001
  • Celorrio, R; Domínguez, V.; Sayas, F.-J. Asymptotics of finite element Lagrange interpolation under the action of an integral operator. Actes des VI Journées Zaragoza-Pau de Mathématiques Apliquées (Jaca, 1999), 151-158, Université de Pau, 2001.
  • Gracia, J.L.; Clavero, C.; Lisbona, F. Aproximación numérica de problemas de convección-difusión usando un esquema upwind mejorado sobre una malla de Shishkin. Actes des VI Journées Zaragoza-Pau de Mathématiques Apliquées (Jaca, 1999), 289-296, Université de Pau, 2001.
2000
  • Oosterlee, C. W.; Wienands, R.; Washio, T.; Gaspar, F. J. The acceleration of multigrid convergence by recombination techniques. Multigrid methods, VI (Gent, 1999), 34--43, Lect. Notes Comput. Sci. Eng., 14, Springer, Berlin, 2000.
1999
  • Celorrio, R; Dominguez, V.; Sayas, F.-J. On the averaged delta method for some acoustic scattering problems. Proceedings of the 6th International Congress on Sound and Vibration, (Copenhagen, 1999), 547-554. IIAV, 1999.
  • Oosterlee, C.W.; Gaspar, F.; Washio, T.; Wienands, R. New smoothers for higher order upwind discretizations of convection-dominated problems like the Euler equations. Notes on Num. Fluid Mech., Vieweg Braunschweig (1999) 135-146.
1998
  • Calvo, Pablo; Lisbona, Francisco Finite difference simulation of capillary barriers in infiltration processes. Second International Conference "Finite-Difference Methods: Theory and Application", Vol. 1 (Minsk, 1998), 53--62, Natl. Acad. Sci. Belarus Inst. Math., Minsk, 1998.
  • Lisbona, F.; Aguilar, G.; Clavero, C.; Gracia, J.L. Modelización y simulación de barreras capilares. Publicación técnica de ENRESA, vol 8 (1998)
  • Gaspar, F; Oosterlee, C.W. A parallel adaptive mesh refinement multigrid solution method for 3D CFD problems. "Advances in scientific computing and modelling", IMACS'98 (Alicante, 1998) 38-43, IMACS, 1998.
  • Oosterlee, C. W.; Gaspar, F. J.; Washio, T.; Wienands, R. Fast multigrid solvers for higher order upwind discretizations of convection-dominated problems. Multigrid methods V (Stuttgart, 1996), 212--224, Lect. Notes Comput. Sci. Eng., 3, Springer, Berlin, 1998.
  • Oosterlee, C.W.; Gaspar, F.; Washio, T. Parallel adaptive multigrid with non-linear Krylov subspace acceleration for steady 3D CFD problems. Proceedings of ECCOMAS (Athens, 1998), 272-277, Wiley Chichester, 1998.
1997
  • Clavero, C.; Jorge, J. C.; Lisbona, F.; Shishkin, G. I. Splitting time methods and one-dimensional special meshes for reaction-diffusion parabolic problems. Numerical analysis and its applications (Rousse, 1996), 106--113, Lecture Notes in Comput. Sci., 1196, Springer, Berlin, 1997.
1995
  • Pascau, A.; Gaspar, F. A multigrid method for domains containing regions with different level of refinement. Proceedings of Numerical Methods in Laminar and Turbulent Flow'95 (Atlanta, 1995) 1657-1666, Pineridge Press, Swansea, 1995.
1994
  • Aguilar, Gloria; Lisbona, Francisco Interface conditions for a kind of nonlinear elliptic-hyperbolic problems. Domain decomposition methods in science and engineering (Como, 1992), 89--95, Contemp. Math., 157, Amer. Math. Soc., Providence, RI, 1994.
1993
  • Aguilar, Gloria; Lisbona, Francisco Singular perturbation analysis of the coupling of elliptic and hyperbolic differential equations.International Conference on Differential Equations, Vol. 1, 2 (Barcelona, 1991), 253--257, World Sci. Publishing, River Edge, NJ, 1993. 
  • Clavero, C.; Jorge, J. C.; Lisbona, F. Uniformly convergent schemes for singular perturbation problems combining alternating directions and exponential fitting techniques. Applications of advanced computational methods for boundary and interior layers, 33--52, Adv. Comput. Methods Bound. Inter. Layers, 2, Boole, Dublin, 1993.
  • Clavero, C.; Jorge, J. C.; Lisbona, F. Splitting-time and exponential fitting-space discretizations for diffusion-reaction problems. International Conference on Differential Equations, Vol. 1, 2 (Barcelona, 1991), 398--403, World Sci. Publishing, River Edge, NJ, 1993.
1990 and
before
  • Calvo, Manuel; Lisbona, Francisco J.; Montijano, Juan I. On the stability of variable stepsize Adams methods in Nordsieck form. Numerical approximation of partial differential equations (Madrid, 1985), 193--203, North-Holland Math. Stud., 133, North-Holland, Amsterdam, 1987.

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    These pages prepared by Francisco-Javier Sayas
    jsayas@unizar.es