Francisco Javier SAYAS (Opera Omnia)

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Papers are written and published to be read. I'm giving links to preprints of unpublished papers and to the journal sites for published papers. If you want one of my papers, don't hesitate to write. I'll be very glad to send you an electronic copy of whatever you need.

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Submitted

1. Dominguez, V.; Lu, S.L.; Sayas. F.J. A Nystrom method for the two dimensional Helmholtz hypersingular equation. Submitted. preprint @ arXiv.
2. Dominguez, V.; Lu, S.L.; Sayas. F.J. A fully discrete Calderon Calculus for two dimensional time harmonic. Submitted. preprint @ arXiv.
3. Fu, Z.; Heuer, N.; Sayas, F.J. Coupling of HDG with a double-layer potential BEM. Submitted. preprint @ arXiv.
4. Heuer, N.; Sayas, F.J. Analysis of a non-symmetric coupling of Interior Penalty DG and BEM. Submitted. preprint @ arXiv
5. Marquez, A.; Meddahi, S.; Sayas F.J. Strong coupling of finite element methods for the Stokes-Darcy problem. Submitted. preprint @ arXiv
6. Sayas, F.J.; Selgas, V. Variational views of stokeslets and stresslets. Submitted. preprint @ arXiv
   

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To appear

1. Bruno, O.; Domínguez, V.; Sayas, F.J. Convergence analysis of a high-order Nystrom integral equation method for surface scattering problems. Numer. Math. preprint @ arXiv.
2. Cockburn, B.; Sayas, F.J. Divergence-conforming HDG methods for Stokes flow. Math. Comp.
   
3. Domínguez, V.; Sayas, F.J. Some properties of layer potentials and boundary integral operators for the wave equation. J. Int. Equations Appl  preprint @ arXiv.
4. Gatica, G.; Meddahi, S.; Hsiao, G.C.; Sayas, F.J. On the dual-mixed formulation for an exterior Stokes problem. ZAMM
5. Guzman, J.; Salgado, A.; Sayas, F.J. A note on the Ladyzhenskaya-Babuska-Brezzi condition. J. Sci. Comput.
6. Lindsay, A.; Lega, J.; Sayas, F.J. The quenching set of a MEMS capacitor in two dimension al geometries. J. Nonlinear Sci.
   
7. Marquez, A.; Meddahi, S.; Sayas, F.J. A decoupled preconditioning technique for a mixed Stokes-Darcy model. J. Sci. Comput. preprint @ arXiv
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Published

1. 71. Sayas, F.J. Energy estimates for Galerkin semidiscretization of time domain boundary integral equations. Numer. Math.124 (2013) 121-149 paper
   
2. 70. Sayas, F.J. The validity of Johnson-Nédélec's BEM-FEM coupling on polygonal interfaces. SIAM Review 55 (2013) 131-146 paper
   
3. 69. Cockburn, B.; Guzman, J.; Sayas, F.J. Coupling of Raviart-Thomas and Hybridizable Discontinuous Galerkin Methods with BEM. SIAM J. Numer. Anal. 50 (2012) 2778-2801. paper
   
4. 68. Bustinza, R.; Sayas, F.J. Error estimates for an LDG method applied to Signorini type problems. J. Sci. Comput. 52 (2012) 322-339 paper
   
5. 67. Cockburn, B.; Sayas, F.J. The devising of symmetric couplings of boundary element and discontinuous Galerkin methods. IMA J. Numer. Anal. 32 (2012) 765-794. paper
   
6. 66. Gatica, G.N.; Oyarzúa, R.; Sayas, F.J. A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow. IMA J. Numer. Anal. 32 (2012) 845-887 paper
   
7. 65. Cockburn, B.; Sayas, F.J.; Solano, M. Coupling at a distance HDG and BEM. SIAM J. Sci. Comput. 34 (2012) A28-A47 paper
   
8. 64. Gatica, G.N.; Hsiao, G.C.; Sayas, F.J. Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling. Numer. Math. 120 (2012) 465-487 paper
9. 63. Gatica, G.N.; Oyarzúa, R.; Sayas, F.J. Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Math. Comput. 80 (2011) 1911-1948 paper
   
10. 62. Gatica, G.N.; Oyarzúa, R.; Sayas, F.J. A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem. CMAME 200 (2011) 1877-1891 paper
    
11. 61. Domínguez, V.; Heuer, N.; Sayas, F.J. Hilbert scales and Sobolev spaces defined by associated Legendre functions. J. Comput Appl. Math. 235 (2011) 3481-2501 paper
    
12. 60. Cockburn, B.; Gopalakrishnan, J.; Nguyen, N.C.; Peraire, J.; Sayas, F.J. Analysis of HDG methods for Stokes flow. Math. Comput. 80 (2011) 723-760 paper
13. 59. Meddahi, S.; Sayas, F.J.; Selgas, V. Non-symmetric coupling of BEM and mixed FEM on polyhedral interfaces. Math. Comput. 80 (2011) 43-68. paper
14. 58. Gatica, G.N.; Oyarzúa, R.; Sayas, F.J. Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem. Numer. Methods PDE 27 (2011) 721-748. paper
15. 57. Cockburn, B.; Gopalakrishnan, J.; Sayas, F.J. A projection-based error analysis of HDG methods. Math. Comput. 79 (2010) 1351-1367. paper
16. 56. Gatica, G.N.; Heuer, N.; Sayas, F.J. A direct coupling of local discontinuous Galerkin and boundary element methods. Math. Comput.79 (2010) 1369-1394. paper
17. 55. Sayas, F.J. The validity of Johnson-Nédélec's BEM-FEM coupling on polygonal interfaces. SIAM J. Numer. Anal.47 (2009) 3451-3463 paper
18. 54. Laliena, A.R.; Rapún, M.L.; Sayas, F.J. Symmetric boundary integral formulations for Helmholtz transmission problems. Appl. Numer. Math.59 (2009) 2814-2823 paper
19. 53. Jeon, Y.; Sayas, F.J. The CBE-BEM coupling for elliptic problems. Appl. Numer. Math.59 (2009) 2374-2387 paper
20. 52. Laliena, A.R.; Sayas, F.J. A distributional version of Kirchhoff's formula. J. Math. Anal. Appl. 359 (2009) 197-208 paper
21. 51. Laliena, A.R.; Sayas, F.J. Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves. Numer. Math. 112 (2009) 637-678 paper
22. 50. Heuer, N.; Sayas, F.J. Crouzeix-Raviart Boundary Elements. Numer. Math.112 (2009) 381-401. paper
23. 49. Domínguez, V.; Sayas, F.J. Algorithm 884: A simple MATLAB implementation of the Argyris element. ACM Trans. Math. Software 35 (2008) Article 16 paper
24. 48. Boal, N.; Domínguez, V.; Sayas, F.J. Asymptotic properties of some triangulations of the sphere. J. Comput. Appl. Math. 211 (2008) 11-22. paper
25. 47. Bustinza, R.; Gatica, G.N.; Sayas, F.J. On the coupling of Local Discontinuous Galerkin and Boundary Element Methods for nonlinear exterior transmission problems. IMA J. Numer. Anal.28 (2008) 225-244 paper
26. 46. Domínguez, V; Rapún, M.L.; Sayas, F.J. Dirac delta methods for Helmholtz transmission problems. Adv. Comput. Math. 28 (2008) 119-139 paper
27. 45. Gatica, G.N.; Sayas, F.J. Characterising the inf-sup condition on product spaces. Numer. Math.109 (2008) 209-231 paper
28. 44. Rapún, M.L.; Sayas, F.J. Mixed boundary integral methods for Helmholtz transmission problems. J. Comput. Appl. Math  214 (2008) 238-258  paper
29. 43. 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 paper
30. 42. 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) Birkhäuser, Boston (2008) 217-226 paper
31. 41. Bustinza, R.; Gatica, G.N.; Sayas, F.J. A look at how LDG and BEM can be coupled. ESAIM: Proceedings 21 (2007) 88-97 paper
32. 40. Domínguez, V.; Sayas, F.-J. Overlapped BEM-FEM for some Helmholtz transmission problems. Appl. Numer. Math. 57 (2007) 131-146 paper
33. 39. Hohage, T.; Rapún, M.L.; Sayas, F.J. Detecting corrosion using thermal measurements. Inverse Problems 23 (2007) 53-72 paper
34. 38. Rapún, M.L.; Sayas, F.J. Boundary Element Simulation of Thermal Waves. Arch. Comput. Methods Engrg. 14 (2007) 3-46 paper
35. 37. Sayas, F.J. Infimum-supremum. Boletín SEMA, 41 (2007) 19-40.
36. 36. 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. paper
37. 35. Domínguez, V.; Sayas, F.-J. A BEM-FEM overlapping algorithm for the Stokes equation. Appl. Math. Comput. 182 (2006) 691-710 paper
38. 34. Gatica G.N.; Sayas, F.J. A note on the local approximation properties of piecewise polynomials with applications to LDG methods. Compl. Var. Ellip. Problems 51 (2006) 101-117 paper
39. 33. Gatica G.N.; Sayas, F.J. An a-priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. 75 (2006) 1675-1696 paper
40. 32. Hauke, G.; Doweidar, M.H.; Fuster, D.; Gómez, A.; Sayas, J. Application of Variational a-Posteriori Multiscale Error Estimation to Higher-Order Elements. Comput. Mech. 38 (2006) 356-389. paper
41. 31. Meddahi, S.; Sayas, F.J. BEM-FEM coupling for wave-structure interaction. Scientia. Series A: Math. Sci. 13 (2006) 5-12
42. 30. Rapún, M.L.; Sayas, F.J. Boundary integral approximation of a heat-diffusion problem in time-harmonic regime. Numer. Algorithms 41 (2006) 127-160 paper
43. 29. Rapún, M.L.; Sayas, F.J. A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media. ESAIM: M2AN. Math. Model. Numer. Anal. 40 (2006) 871-896. paper
44. 28. 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
45. 27. Hohage, T.; Sayas, F.J. Numerical solution of a heat diffusion problem by boundary elements using the Laplace transform. Numer. Math 102 (2005) 67-92 paper
46. 26. Meddahi, S.; Sayas, F.J. Analysis of a new BEM-FEM coupling for two dimensional fluid-solid interaction. Numer. Methods Partial Differential Equations 21 (2005) 1017-1154. paper
47. 25. 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
48. 24. Celorrio, R; Domínguez, V.; Sayas, F.J. Overlapped BEM-FEM and some Schwarz iterations. Comput. Methods Appl. Math 4 (2004) no. 1, 3-22
49. 23. 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
50. 22. Sayas, F.J. Aubin-Nitsche estimates are equivalent to compact embeddings. BIT 44 (2004) no 2., 287-290. paper
51. 21. 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.
52. 20. 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.
53. 19. Domínguez, V; Sayas, F.-J. An asymptotic series approach to qualocation methods. J. Integral Equations Appl. 15 (2) (2003) 113-151. paper
54. 18. Domínguez, V; Sayas, F.J. Stability of discrete liftings. C. R. Math. Acad. Sci. Paris 337 (2003) 805-808. paper
55. 17. Sayas, F.-J. A nodal coupling of finite and boundary elements. Numer. Methods Partial Differential Equations 19 (2003) 555-570 paper
56. 16. Celorrio, R.; Domínguez, V.; Sayas, F.J. An interior-exterior Schwarz algorithm and its convervence. C.R.A.S. Paris Ser I. Math. 334 (10) (2002) 923-926. paper
57. 15. Celorrio, R; Domínguez, V.; Sayas, F.-J. Periodic Dirac delta distributions in the boundary element method. Adv. Comput. Math. 17(3) (2002) 211-236. paper
58. 14. Sayas, F.J. Asymptotic series in the numerical analysis of boundary element methods (Spanish) Bol. SEMA 20 (2002) 77-96.
59. 13. 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.
60. 12. Celorrio, R.; Sayas, F.-J. Extrapolation techniques and the collocation method for a class of boundary integral equations. ANZIAM J. (formerly J. Austral. Math. Soc. Ser. B/Applied) 42 (2001) 413-437. paper
61. 11. Crouzeix. M; Féat, Ph; Sayas, F.-J. Theoretical and numerical approximation of a free boundary problem by boundary integral methods. M2AN Math. Model. Numer.Anal.35 (2001) no.6, 1137-1158 paper
62. 10. Domínguez, V.; Sayas, F.-J. Full asymptotics of spline Petrov-Galerkin methods for some periodic pseudodifferential equations. Adv. Comput. Math. 14 (1) (2001) 75-101 paper
63. 9. Domínguez, V.; Sayas, F.-J.. Local expansions of periodic spline interpolation with some applications. Math. Nach. 227 (2001) 43-62 paper
64. 8. Meddahi, S; Sayas, F.-J.. A fully discrete BEM--FEM for the exterior Stokes problem in the plane. SIAM J. Numer. Anal. 37 (2000), no. 6, 2082--2102 paper
65. 7. Celorrio, R; Domínguez, 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. 
66. 6. Celorrio, R. Sayas, F.-J. Full collocation methods for some boundary integral equations. Numer. Algorithms 22 (1999), no. 3-4, 327-351. paper
67. 5. Celorrio, R.; Sayas, F.-J. The Euler-Maclaurin formula in presence of a logarithmic singularity. BIT 39 (1999), no. 4, 780-785. paper
68. 4. Sayas, F.-J. The numerical solution of Symm's equation on smooth open arcs by spline Galerkin methods. Numerical mathematics and computational mechanics (Miskolc, 1996). Comput. Math. Appl. 38 (1999), no. 9-10, 87--99. paper
69. 3. Crouzeix, M.; Sayas, F.-J. Asymptotic expansions of the error of spline Galerkin boundary element methods. Numer. Math. 78 (1998), no. 4, 523-547.paper
70. 2. Sayas, F.-J. A generalized Euler-Maclaurin formula on triangles. J. Comput.Appl. Math. 93 (1998), no. 2, 89--93. paper
71. 1. Sayas, F.-J. Fully discrete Galerkin methods for systems of boundary integral equations. J. Comput. Appl. Math. 81 (1997), no. 2, 311--331. paper

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