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## Sayas, Francisco-Javier

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 Author ID: sayas.francisco-javier Published as: Sayas, F-J; Sayas, F. J.; Sayas, F.-J.; Sayas, Francisco J.; Sayas, Francisco Javier; Sayas, Francisco-Javier; Sayas, Francisco-javier Homepage: http://www.math.udel.edu/~fjsayas/ External Links: MGP · ORCID · dblp
 Documents Indexed: 122 Publications since 1997, including 3 Books
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#### Co-Authors

 12 single-authored 22 Domínguez, Víctor 14 Gatica, Gabriel N. 12 Celorrio, Ricardo 12 Rapún, María-Luisa 9 Meddahi, Salim 8 Cockburn, Bernardo 8 Heuer, Norbert 7 Hsiao, George C. 6 Sánchez-Vizuet, Tonatiuh 5 Hassell, Matthew E. 4 Bustinza, Rommel A. 4 Du, Shukai 4 Laliena, Antonio R. 4 Oyarzúa, Ricardo 4 Qiu, Tianyu 3 Brown, Thomas S. 3 Fu, Zhixing 3 Guzmán, Johnny 3 Rieder, Alexander 2 Bacuta, Constantin 2 Banjai, Lehel 2 Crouzeix, Michel 2 Gopalakrishnan, Jayadeep 2 Hohage, Thorsten 2 Hungria, Allan 2 Lu, Sijiang L. 2 Marquez-Duran, Antonio M. 2 Melenk, Jens Markus 2 Selgas, Virginia 2 Weinacht, Richard J. 1 Ainsworth, Mark 1 Antil, Harbir 1 Boal, Natalia 1 Bruno, Oscar P. 1 Erath, Christoph 1 Eruslu, Hasan Hüseyin 1 Féat, Philippe 1 Fu, Guosheng 1 Führer, Thomas 1 Ganesh, Madhu 1 Gatica, Luis F. 1 Jacavage, Jacob 1 Jeon, Youngmok 1 Ji, Liangyue 1 Karkulik, Michael 1 Lega, J. 1 Lindsay, Alan E. 1 Lisbona, J. 1 Lu, Sinjiang 1 Lubich, Christian 1 Nguyen, Ngoc Cuong 1 Of, Günther 1 Peraire, Jaume 1 Prada, Daniele 1 Qirko, Klajdi 1 Salgado, Abner J. 1 Salles, Nicolas 1 Sánchez, Manuel A. 1 Solano, Manuel E. 1 Zhang, Shougui
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#### Serials

 13 Mathematics of Computation 12 Numerische Mathematik 8 Computers & Mathematics with Applications 8 IMA Journal of Numerical Analysis 6 Journal of Scientific Computing 5 Journal of Computational and Applied Mathematics 5 SIAM Journal on Numerical Analysis 4 Journal of Integral Equations and Applications 4 Advances in Computational Mathematics 3 Applied Numerical Mathematics 3 Numerical Methods for Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 BIT 2 Numerical Algorithms 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Numerical Analysis and Modeling 2 SN Partial Differential Equations and Applications 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Mathematische Nachrichten 1 SIAM Review 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 The ANZIAM Journal 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Science in China. Series G 1 Complex Variables and Elliptic Equations 1 Springer Series in Computational Mathematics 1 Scientia. Series A: Mathematical Sciences. New Series 1 S$$\vec{\text{e}}$$MA Journal 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA 1 SpringerBriefs in Mathematics
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#### Fields

 107 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 22 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 11 Integral equations (45-XX) 5 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)

#### Citations contained in zbMATH Open

106 Publications have been cited 1,034 times in 549 Documents Cited by Year
A projection-based error analysis of HDG methods. Zbl 1197.65173
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Sayas, Francisco-Javier
2010
Analysis of HDG methods for Stokes flow. Zbl 1410.76164
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier
2011
Divergence-conforming HDG methods for Stokes flows. Zbl 1427.76125
Cockburn, Bernardo; Sayas, Francisco-Javier
2014
A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem. Zbl 1228.76085
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier
2011
Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Zbl 1301.76047
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier
2011
Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves. Zbl 1178.65117
Laliena, Antonio R.; Sayas, Francisco-Javier
2009
Retarded potentials and time domain boundary integral equations. A road map. Zbl 1346.65047
Sayas, Francisco-Javier
2016
The validity of Johnson-Nédélec’s BEM-FEM coupling on polygonal interfaces. Zbl 1207.65140
Sayas, Francisco-Javier
2009
Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem. Zbl 1301.76046
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier
2011
Superconvergence by $$M$$-decompositions. I: General theory for HDG methods for diffusion. Zbl 1361.65084
Cockburn, Bernardo; Fu, Guosheng; Sayas, Francisco Javier
2017
Strong coupling of finite element methods for the Stokes-Darcy problem. Zbl 1312.76030
Márquez, Antonio; Meddahi, Salim; Sayas, Francisco-Javier
2015
A decoupled preconditioning technique for a mixed Stokes-Darcy model. Zbl 1282.76098
Márquez, Antonio; Meddahi, Salim; Sayas, Francisco-Javier
2013
Stable numerical coupling of exterior and interior problems for the wave equation. Zbl 1314.65122
Banjai, Lehel; Lubich, Christian; Sayas, Francisco-Javier
2015
Relaxing the hypotheses of Bielak-MacCamy’s BEM-FEM coupling. Zbl 1242.65252
Gatica, Gabriel N.; Hsiao, George C.; Sayas, Francisco-Javier
2012
Numerical solution of a heat diffusion problem by boundary element methods using the Laplace transform. Zbl 1082.65105
Hohage, Thorsten; Sayas, Francisco-Javier
2005
Asymptotic expansions of the error of spline Galerkin boundary element methods. Zbl 0899.65061
Crouzeix, Michel; Sayas, Francisco-Javier
1998
Boundary integral approximation of a heat-diffusion problem in time-harmonic regime. Zbl 1096.65122
Rapún, María-Luisa; Sayas, Francisco-Javier
2006
A fully discrete BEM-FEM for the exterior Stokes problem in the plane. Zbl 0981.65129
Meddahi, Salim; Sayas, Francisco-Javier
2000
A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow. Zbl 1452.76234
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier
2012
Analysis of a new BEM-FEM coupling for two-dimensional fluid-solid interaction. Zbl 1078.74054
Meddahi, Salim; Sayas, Francisco-Javier
2005
Some properties of layer potentials and boundary integral operators for the wave equation. Zbl 1277.35082
Domínguez, Víctor; Sayas, Francisco-Javier
2013
Mixed boundary integral methods for Helmholtz transmission problems. Zbl 1148.65091
Rapún, M.-L.; Sayas, F.-J.
2008
An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods. Zbl 1112.65110
Gatica, Gabriel N.; Sayas, Francisco-Javier
2006
Periodic Dirac delta distributions in the boundary element method. Zbl 1004.65129
Celorrio, Ricardo; Domínguez, Víctor; Sayas, Francisco-Javier
2002
Boundary and coupled boundary-finite element methods for transient wave-structure interaction. Zbl 1433.74114
Hsiao, George C.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier
2017
Boundary integral solvers for an evolutionary exterior Stokes problem. Zbl 1316.65082
Bacuta, Constantin; Hassell, Matthew E.; Hsiao, George C.; Sayas, Francisco-Javier
2015
The quenching set of a MEMS capacitor in two-dimensional geometries. Zbl 1284.35072
Lindsay, A. E.; Lega, J.; Sayas, F. J.
2013
Crouzeix-Raviart boundary elements. Zbl 1171.65086
Heuer, Norbert; Sayas, Francisco-Javier
2009
A note on the local approximation properties of piecewise polynomials with applications to LDG methods. Zbl 1094.65113
Gatica, Gabriel N.; Sayas, Francisco-Javier
2006
Convolution quadrature for wave simulations. Zbl 1351.65102
Hassell, Matthew; Sayas, Francisco-Javier
2016
The validity of Johnson-Nédélec’s BEM-FEM coupling on polygonal interfaces. Zbl 1270.65070
Sayas, Francisco-Javier
2013
Dirac delta methods for Helmholtz transmission problems. Zbl 1139.65079
Domínguez, V.; Rapún, M.-L.; Sayas, F.-J.
2008
Detecting corrosion using thermal measurements. Zbl 1111.35113
Hohage, T.; Rapún, M-L; Sayas, F-J
2007
Indirect methods with Brakhage-Werner potentials for Helmholtz transmission problems. Zbl 1119.65414
Rapún, María-Luisa; Sayas, Francisco-Javier
2006
Stability of discrete liftings. Zbl 1036.65089
Domínguez, Víctor; Sayas, Francisco-Javier
2003
Symmetric boundary-finite element discretization of time dependent acoustic scattering by elastic obstacles with piezoelectric behavior. Zbl 1397.74155
Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier
2017
Fully discrete Kirchhoff formulas with CQ-BEM. Zbl 1321.65150
Banjai, Lehel; Laliena, Antonio R.; Sayas, Francisco-Javier
2015
Variational views of stokeslets and stresslets. Zbl 1305.31004
Sayas, Francisco-Javier; Selgas, Virginia
2014
Error estimates for an LDG method applied to Signorini type problems. Zbl 1311.74110
Bustinza, Rommel; Sayas, Francisco-Javier
2012
Coupling at a distance HDG and BEM. Zbl 1241.65105
Cockburn, Bernardo; Sayas, Francisco-Javier; Solano, Manuel
2012
Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces. Zbl 1210.65191
Meddahi, Salim; Sayas, Francisco-Javier; Selgás, Virginia
2011
Symmetric boundary integral formulations for Helmholtz transmission problems. Zbl 1176.65144
Laliena, A. R.; Rapún, M.-L.; Sayas, F.-J.
2009
A distributional version of Kirchhoff’s formula. Zbl 1178.35127
Laliena, Antonio R.; Sayas, Francisco-Javier
2009
Characterizing the inf-sup condition on product spaces. Zbl 1139.65038
Gatica, Gabriel N.; Sayas, Francisco-Javier
2008
Infimum-supremum. Zbl 1242.65106
Sayas, Francisco Javier
2007
Boundary element simulation of thermal waves. Zbl 1177.80096
Rapún, María-Luisa; Sayas, Francisco-Javier
2007
Theoretical and numerical study of a free boundary problem by boundary integral methods. Zbl 0985.35114
Crouzeix, Michel; Féat, Philippe; Sayas, Francisco-Javier
2001
A new and improved analysis of the time domain boundary integral operators for the acoustic wave equation. Zbl 1361.65075
Hassell, Matthew E.; Qiu, Tianyu; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier
2017
A non-symmetric coupling of the finite volume method and the boundary element method. Zbl 1361.65083
Erath, Christoph; Of, Günther; Sayas, Francisco-Javier
2017
Time-dependent fluid-structure interaction. Zbl 1364.35221
Hsiao, George C.; Sayas, Francisco-Javier; Weinacht, Richard J.
2017
Discrete extension operators for mixed finite element spaces on locally refined meshes. Zbl 1416.65428
Ainsworth, Mark; Guzmán, Johnny; Sayas, Francisco-Javier
2016
Note on discontinuous trace approximation in the practical DPG method. Zbl 1364.65250
Heuer, Norbert; Karkulik, Michael; Sayas, Francisco-Javier
2014
Convergence analysis of a high-order Nyström integral-equation method for surface scattering problems. Zbl 1273.65184
Bruno, Oscar P.; Domínguez, Víctor; Sayas, Francisco-Javier
2013
Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations. Zbl 1277.65080
Sayas, Francisco-Javier
2013
A direct coupling of local discontinuous Galerkin and boundary element methods. Zbl 1208.65166
Gatica, Gabriel N.; Heuer, Norbert; Sayas, Francisco-Javier
2010
On the coupling of local discontinuous Galerkin and boundary element methods for non-linear exterior transmission problems. Zbl 1144.65071
Bustinza, Rommel; Gatica, Gabriel N.; Sayas, Francisco-Javier
2008
Stormer-Numerov HDG methods for acoustic waves. Zbl 1398.65248
Cockburn, Bernardo; Fu, Zhixing; Hungria, Allan; Ji, Liangyue; Sánchez, Manuel A.; Sayas, Francisco-Javier
2018
Algorithm 949: MATLAB tools for HDG in three dimensions. Zbl 1347.65175
Fu, Zhixing; Gatica, Luis F.; Sayas, Francisco-javier
2015
A Nyström flavored Calderón calculus of order three for two dimensional waves, time-harmonic and transient. Zbl 1350.65133
Domínguez, Víctor; Lu, Sijiang L.; Sayas, Francisco-Javier
2014
The devising of symmetric couplings of boundary element and discontinuous Galerkin methods. Zbl 1250.65145
Cockburn, Bernardo; Sayas, Francisco-Javier
2012
Hilbert scales and Sobolev spaces defined by associated Legendre functions. Zbl 1223.46035
Domínguez, Víctor; Heuer, Norbert; Sayas, Francisco-Javier
2011
Overlapped BEM-FEM for some Helmholtz transmission problems. Zbl 1113.65109
Domínguez, Víctor; Sayas, Francisco-Javier
2007
A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media. Zbl 1123.65115
Rapún, María-Luisa; Sayas, Francisco-Javier
2006
An asymptotic series approach to qualocation methods. Zbl 1044.65088
Domínguez, Víctor; Sayas, Francisco-Javier
2003
A nodal coupling of finite and boundary elements. Zbl 1033.65104
Sayas, Francisco-Javier
2003
Full asymptotics of spline Petrov-Galerkin methods for some periodic pseudodifferential equations. Zbl 0973.65112
Domínguez, Víctor; Sayas, Francisco-Javier
2001
Full collocation methods for some boundary integral equations. Zbl 0951.65147
Celorrio, Ricardo; Sayas, Francisco-Javier
1999
HDG methods for elastodynamics. Zbl 1395.74085
Hungria, Allan; Prada, Daniele; Sayas, Francisco-Javier
2017
A fully discrete Calderón calculus for two dimensional time harmonic waves. Zbl 1310.65154
Domínguez, Víctor; Lu, Sinjiang; Sayas, Francisco-Javier
2014
Coupling of Raviart-Thomas and hybridizable discontinuous Galerkin methods with BEM. Zbl 1260.65101
Cockburn, Bernardo; Guzmán, Johnny; Sayas, Francisco-Javier
2012
A BEM–FEM overlapping algorithm for the Stokes equation. Zbl 1120.76047
Domínguez, Víctor; Sayas, Francisco-Javier
2006
Overlapped BEM-FEM and some Schwarz iterations. Zbl 1050.65109
Celorrio, Ricardo; Dominguez, Víctor; Sayas, Francisco-Javier
2004
Extrapolation techniques and the collocation method for a class of boundary integral equations. Zbl 0973.65111
Celorrio, Ricardo; Sayas, Francisco-Javier
2001
Fully discrete Galerkin methods for systems of boundary integral equations. Zbl 0882.65107
Sayas, Francisco-Javier
1997
New analytical tools for HDG in elasticity, with applications to elastodynamics. Zbl 1436.65177
Du, Shukai; Sayas, Francisco-Javier
2020
An invitation to the theory of the hybridizable discontinuous Galerkin method. Projections, estimates, tools. Zbl 07103770
Du, Shukai; Sayas, Francisco-Javier
2019
A fully discrete BEM-FEM scheme for transient acoustic waves. Zbl 1439.74485
Hassell, Matthew E.; Sayas, Francisco-Javier
2016
Analysis of a non-symmetric coupling of interior penalty DG and BEM. Zbl 1307.65166
Heuer, Norbert; Sayas, Francisco-Javier
2015
A note on the Ladyženskaja-Babuška-Brezzi condition. Zbl 1276.65081
Guzmán, Johnny; Salgado, Abner J.; Sayas, Francisco-Javier
2013
Asymptotic properties of some triangulations of the sphere. Zbl 1149.65012
Boal, N.; Domínguez, V.; Sayas, F.-J.
2008
A look at how LDG and BEM can be coupled. Zbl 1128.65095
Bustinza, Rommel A.; Gatica, Gabriel N.; Sayas, Francisco-Javier
2007
A LDG-BEM coupling for a class of nonlinear exterior transmission problems. Zbl 1119.65412
Bustinza, Rommel; Gatica, Gabriel N.; Sayas, Francisco-Javier
2006
An interior-exterior Schwarz algorithm and its convergence. Zbl 1005.65134
Celorrio, Ricardo; Domínguez, Víctor; Sayas, Francisco-Javier
2002
Local expansions of periodic spline interpolation with some applications. Zbl 1087.41009
Domínguez, Víctor; Sayas, Francisco-Javier
2001
The numerical solution of Symm’s equation on smooth open arcs by spline Galerkin methods. Zbl 0949.65136
Sayas, F.-J.
1999
The Euler-Maclaurin formula in presence of a logarithmic singularity. Zbl 0942.65002
Celorrio, Ricardo; Sayas, Francisco-Javier
1999
A unified error analysis of hybridizable discontinuous Galerkin methods for the static Maxwell equations. Zbl 1434.65227
Du, Shukai; Sayas, Francisco-Javier
2020
Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid. Zbl 06966729
Brown, Thomas S.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier
2018
On the dual-mixed formulation for an exterior Stokes problem. Zbl 1277.76021
Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim; Sayas, Francisco-Javier
2013
Direct boundary element method with discretization of all integral operators. Zbl 1182.65184
Sayas, F.-J.
2008
Aubin–Nitsche estimates are equivalent to compact embeddings. Zbl 1067.65132
Sayas, Francisco-Javier
2004
A generalized Euler-Maclaurin formula on triangles. Zbl 0938.65003
Sayas, Francisco-Javier
1998
Polynomially bounded error estimates for trapezoidal rule convolution quadrature. Zbl 1443.65269
Eruslu, Hasan; Sayas, Francisco-Javier
2020
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Zbl 1443.74223
Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier
2020
Time-domain boundary integral equation modeling of heat transmission problems. Zbl 1428.65102
Qiu, Tianyu; Rieder, Alexander; Sayas, Francisco-Javier; Zhang, Shougui
2019
Variational techniques for elliptic partial differential equations. Theoretical tools and advanced applications. Zbl 1426.35110
Sayas, Francisco-Javier; Brown, Thomas S.; Hassell, Matthew E.
2019
Saddle point least squares iterative solvers for the time harmonic Maxwell equations. Zbl 1397.65244
Bacuta, Constantin; Jacavage, Jacob; Qirko, Klajdi; Sayas, Francisco-Javier
2017
New mapping properties of the time domain electric field integral equation. Zbl 1360.78048
Qiu, Tianyu; Sayas, Francisco-Javier
2017
New developments on the coupling of mixed-FEM and BEM for the three-dimensional exterior Stokes problem. Zbl 1383.76338
Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim; Sayas, Francisco J.
2016
Symmetric coupling of LDG-FEM and DG-BEM. Zbl 1354.65247
Heuer, Norbert; Meddahi, Salim; Sayas, Francisco-Javier
2016
New analytical tools for HDG in elasticity, with applications to elastodynamics. Zbl 1436.65177
Du, Shukai; Sayas, Francisco-Javier
2020
A unified error analysis of hybridizable discontinuous Galerkin methods for the static Maxwell equations. Zbl 1434.65227
Du, Shukai; Sayas, Francisco-Javier
2020
Polynomially bounded error estimates for trapezoidal rule convolution quadrature. Zbl 1443.65269
Eruslu, Hasan; Sayas, Francisco-Javier
2020
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Zbl 1443.74223
Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier
2020
An invitation to the theory of the hybridizable discontinuous Galerkin method. Projections, estimates, tools. Zbl 07103770
Du, Shukai; Sayas, Francisco-Javier
2019
Time-domain boundary integral equation modeling of heat transmission problems. Zbl 1428.65102
Qiu, Tianyu; Rieder, Alexander; Sayas, Francisco-Javier; Zhang, Shougui
2019
Variational techniques for elliptic partial differential equations. Theoretical tools and advanced applications. Zbl 1426.35110
Sayas, Francisco-Javier; Brown, Thomas S.; Hassell, Matthew E.
2019
Stormer-Numerov HDG methods for acoustic waves. Zbl 1398.65248
Cockburn, Bernardo; Fu, Zhixing; Hungria, Allan; Ji, Liangyue; Sánchez, Manuel A.; Sayas, Francisco-Javier
2018
Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid. Zbl 06966729
Brown, Thomas S.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier
2018
Superconvergence by $$M$$-decompositions. I: General theory for HDG methods for diffusion. Zbl 1361.65084
Cockburn, Bernardo; Fu, Guosheng; Sayas, Francisco Javier
2017
Boundary and coupled boundary-finite element methods for transient wave-structure interaction. Zbl 1433.74114
Hsiao, George C.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier
2017
Symmetric boundary-finite element discretization of time dependent acoustic scattering by elastic obstacles with piezoelectric behavior. Zbl 1397.74155
Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier
2017
A new and improved analysis of the time domain boundary integral operators for the acoustic wave equation. Zbl 1361.65075
Hassell, Matthew E.; Qiu, Tianyu; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier
2017
A non-symmetric coupling of the finite volume method and the boundary element method. Zbl 1361.65083
Erath, Christoph; Of, Günther; Sayas, Francisco-Javier
2017
Time-dependent fluid-structure interaction. Zbl 1364.35221
Hsiao, George C.; Sayas, Francisco-Javier; Weinacht, Richard J.
2017
HDG methods for elastodynamics. Zbl 1395.74085
Hungria, Allan; Prada, Daniele; Sayas, Francisco-Javier
2017
Saddle point least squares iterative solvers for the time harmonic Maxwell equations. Zbl 1397.65244
Bacuta, Constantin; Jacavage, Jacob; Qirko, Klajdi; Sayas, Francisco-Javier
2017
New mapping properties of the time domain electric field integral equation. Zbl 1360.78048
Qiu, Tianyu; Sayas, Francisco-Javier
2017
Retarded potentials and time domain boundary integral equations. A road map. Zbl 1346.65047
Sayas, Francisco-Javier
2016
Convolution quadrature for wave simulations. Zbl 1351.65102
Hassell, Matthew; Sayas, Francisco-Javier
2016
Discrete extension operators for mixed finite element spaces on locally refined meshes. Zbl 1416.65428
Ainsworth, Mark; Guzmán, Johnny; Sayas, Francisco-Javier
2016
A fully discrete BEM-FEM scheme for transient acoustic waves. Zbl 1439.74485
Hassell, Matthew E.; Sayas, Francisco-Javier
2016
New developments on the coupling of mixed-FEM and BEM for the three-dimensional exterior Stokes problem. Zbl 1383.76338
Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim; Sayas, Francisco J.
2016
Symmetric coupling of LDG-FEM and DG-BEM. Zbl 1354.65247
Heuer, Norbert; Meddahi, Salim; Sayas, Francisco-Javier
2016
The Costabel-Stephan system of boundary integral equations in the time domain. Zbl 1344.65089
Qiu, Tianyu; Sayas, Francisco-Javier
2016
Strong coupling of finite element methods for the Stokes-Darcy problem. Zbl 1312.76030
Márquez, Antonio; Meddahi, Salim; Sayas, Francisco-Javier
2015
Stable numerical coupling of exterior and interior problems for the wave equation. Zbl 1314.65122
Banjai, Lehel; Lubich, Christian; Sayas, Francisco-Javier
2015
Boundary integral solvers for an evolutionary exterior Stokes problem. Zbl 1316.65082
Bacuta, Constantin; Hassell, Matthew E.; Hsiao, George C.; Sayas, Francisco-Javier
2015
Fully discrete Kirchhoff formulas with CQ-BEM. Zbl 1321.65150
Banjai, Lehel; Laliena, Antonio R.; Sayas, Francisco-Javier
2015
Algorithm 949: MATLAB tools for HDG in three dimensions. Zbl 1347.65175
Fu, Zhixing; Gatica, Luis F.; Sayas, Francisco-javier
2015
Analysis of a non-symmetric coupling of interior penalty DG and BEM. Zbl 1307.65166
Heuer, Norbert; Sayas, Francisco-Javier
2015
Divergence-conforming HDG methods for Stokes flows. Zbl 1427.76125
Cockburn, Bernardo; Sayas, Francisco-Javier
2014
Variational views of stokeslets and stresslets. Zbl 1305.31004
Sayas, Francisco-Javier; Selgas, Virginia
2014
Note on discontinuous trace approximation in the practical DPG method. Zbl 1364.65250
Heuer, Norbert; Karkulik, Michael; Sayas, Francisco-Javier
2014
A Nyström flavored Calderón calculus of order three for two dimensional waves, time-harmonic and transient. Zbl 1350.65133
Domínguez, Víctor; Lu, Sijiang L.; Sayas, Francisco-Javier
2014
A fully discrete Calderón calculus for two dimensional time harmonic waves. Zbl 1310.65154
Domínguez, Víctor; Lu, Sinjiang; Sayas, Francisco-Javier
2014
A Nyström method for the two dimensional Helmholtz hypersingular equation. Zbl 1310.65153
Domínguez, Víctor; Lu, Sijiang L.; Sayas, Francisco-Javier
2014
A decoupled preconditioning technique for a mixed Stokes-Darcy model. Zbl 1282.76098
Márquez, Antonio; Meddahi, Salim; Sayas, Francisco-Javier
2013
Some properties of layer potentials and boundary integral operators for the wave equation. Zbl 1277.35082
Domínguez, Víctor; Sayas, Francisco-Javier
2013
The quenching set of a MEMS capacitor in two-dimensional geometries. Zbl 1284.35072
Lindsay, A. E.; Lega, J.; Sayas, F. J.
2013
The validity of Johnson-Nédélec’s BEM-FEM coupling on polygonal interfaces. Zbl 1270.65070
Sayas, Francisco-Javier
2013
Convergence analysis of a high-order Nyström integral-equation method for surface scattering problems. Zbl 1273.65184
Bruno, Oscar P.; Domínguez, Víctor; Sayas, Francisco-Javier
2013
Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations. Zbl 1277.65080
Sayas, Francisco-Javier
2013
A note on the Ladyženskaja-Babuška-Brezzi condition. Zbl 1276.65081
Guzmán, Johnny; Salgado, Abner J.; Sayas, Francisco-Javier
2013
On the dual-mixed formulation for an exterior Stokes problem. Zbl 1277.76021
Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim; Sayas, Francisco-Javier
2013
Relaxing the hypotheses of Bielak-MacCamy’s BEM-FEM coupling. Zbl 1242.65252
Gatica, Gabriel N.; Hsiao, George C.; Sayas, Francisco-Javier
2012
A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow. Zbl 1452.76234
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier
2012
Error estimates for an LDG method applied to Signorini type problems. Zbl 1311.74110
Bustinza, Rommel; Sayas, Francisco-Javier
2012
Coupling at a distance HDG and BEM. Zbl 1241.65105
Cockburn, Bernardo; Sayas, Francisco-Javier; Solano, Manuel
2012
The devising of symmetric couplings of boundary element and discontinuous Galerkin methods. Zbl 1250.65145
Cockburn, Bernardo; Sayas, Francisco-Javier
2012
Coupling of Raviart-Thomas and hybridizable discontinuous Galerkin methods with BEM. Zbl 1260.65101
Cockburn, Bernardo; Guzmán, Johnny; Sayas, Francisco-Javier
2012
Analysis of HDG methods for Stokes flow. Zbl 1410.76164
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier
2011
A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem. Zbl 1228.76085
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier
2011
Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Zbl 1301.76047
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier
2011
Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem. Zbl 1301.76046
Gatica, Gabriel N.; Oyarzúa, Ricardo; Sayas, Francisco-Javier
2011
Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces. Zbl 1210.65191
Meddahi, Salim; Sayas, Francisco-Javier; Selgás, Virginia
2011
Hilbert scales and Sobolev spaces defined by associated Legendre functions. Zbl 1223.46035
Domínguez, Víctor; Heuer, Norbert; Sayas, Francisco-Javier
2011
A projection-based error analysis of HDG methods. Zbl 1197.65173
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Sayas, Francisco-Javier
2010
A direct coupling of local discontinuous Galerkin and boundary element methods. Zbl 1208.65166
Gatica, Gabriel N.; Heuer, Norbert; Sayas, Francisco-Javier
2010
Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves. Zbl 1178.65117
Laliena, Antonio R.; Sayas, Francisco-Javier
2009
The validity of Johnson-Nédélec’s BEM-FEM coupling on polygonal interfaces. Zbl 1207.65140
Sayas, Francisco-Javier
2009
Crouzeix-Raviart boundary elements. Zbl 1171.65086
Heuer, Norbert; Sayas, Francisco-Javier
2009
Symmetric boundary integral formulations for Helmholtz transmission problems. Zbl 1176.65144
Laliena, A. R.; Rapún, M.-L.; Sayas, F.-J.
2009
A distributional version of Kirchhoff’s formula. Zbl 1178.35127
Laliena, Antonio R.; Sayas, Francisco-Javier
2009
The CBEM-BEM coupling for elliptic problems. Zbl 1172.65065
Jeon, Youngmok; Sayas, Francisco-Javier
2009
Mixed boundary integral methods for Helmholtz transmission problems. Zbl 1148.65091
Rapún, M.-L.; Sayas, F.-J.
2008
Dirac delta methods for Helmholtz transmission problems. Zbl 1139.65079
Domínguez, V.; Rapún, M.-L.; Sayas, F.-J.
2008
Characterizing the inf-sup condition on product spaces. Zbl 1139.65038
Gatica, Gabriel N.; Sayas, Francisco-Javier
2008
On the coupling of local discontinuous Galerkin and boundary element methods for non-linear exterior transmission problems. Zbl 1144.65071
Bustinza, Rommel; Gatica, Gabriel N.; Sayas, Francisco-Javier
2008
Asymptotic properties of some triangulations of the sphere. Zbl 1149.65012
Boal, N.; Domínguez, V.; Sayas, F.-J.
2008
Direct boundary element method with discretization of all integral operators. Zbl 1182.65184
Sayas, F.-J.
2008
Exterior Dirichlet and Neumann problems for the Helmholtz equation as limits of transmission problems. Zbl 1183.35088
Rapún, M.-L.; Sayas, F.-J.
2008
Detecting corrosion using thermal measurements. Zbl 1111.35113
Hohage, T.; Rapún, M-L; Sayas, F-J
2007
Infimum-supremum. Zbl 1242.65106
Sayas, Francisco Javier
2007
Boundary element simulation of thermal waves. Zbl 1177.80096
Rapún, María-Luisa; Sayas, Francisco-Javier
2007
Overlapped BEM-FEM for some Helmholtz transmission problems. Zbl 1113.65109
Domínguez, Víctor; Sayas, Francisco-Javier
2007
A look at how LDG and BEM can be coupled. Zbl 1128.65095
Bustinza, Rommel A.; Gatica, Gabriel N.; Sayas, Francisco-Javier
2007
Boundary integral approximation of a heat-diffusion problem in time-harmonic regime. Zbl 1096.65122
Rapún, María-Luisa; Sayas, Francisco-Javier
2006
An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods. Zbl 1112.65110
Gatica, Gabriel N.; Sayas, Francisco-Javier
2006
A note on the local approximation properties of piecewise polynomials with applications to LDG methods. Zbl 1094.65113
Gatica, Gabriel N.; Sayas, Francisco-Javier
2006
Indirect methods with Brakhage-Werner potentials for Helmholtz transmission problems. Zbl 1119.65414
Rapún, María-Luisa; Sayas, Francisco-Javier
2006
A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media. Zbl 1123.65115
Rapún, María-Luisa; Sayas, Francisco-Javier
2006
A BEM–FEM overlapping algorithm for the Stokes equation. Zbl 1120.76047
Domínguez, Víctor; Sayas, Francisco-Javier
2006
A LDG-BEM coupling for a class of nonlinear exterior transmission problems. Zbl 1119.65412
Bustinza, Rommel; Gatica, Gabriel N.; Sayas, Francisco-Javier
2006
Numerical solution of a heat diffusion problem by boundary element methods using the Laplace transform. Zbl 1082.65105
Hohage, Thorsten; Sayas, Francisco-Javier
2005
Analysis of a new BEM-FEM coupling for two-dimensional fluid-solid interaction. Zbl 1078.74054
Meddahi, Salim; Sayas, Francisco-Javier
2005
Overlapped BEM-FEM and some Schwarz iterations. Zbl 1050.65109
Celorrio, Ricardo; Dominguez, Víctor; Sayas, Francisco-Javier
2004
Aubin–Nitsche estimates are equivalent to compact embeddings. Zbl 1067.65132
Sayas, Francisco-Javier
2004
A mixed BEM applied to scattering of thermal waves in composite materials. Zbl 1170.80339
Celorrio, Ricardo; Rapún, Maria-Luisa; Sayas, Francisco-Javier
2004
Stability of discrete liftings. Zbl 1036.65089
Domínguez, Víctor; Sayas, Francisco-Javier
2003
An asymptotic series approach to qualocation methods. Zbl 1044.65088
Domínguez, Víctor; Sayas, Francisco-Javier
2003
A nodal coupling of finite and boundary elements. Zbl 1033.65104
Sayas, Francisco-Javier
2003
An integral method for exterior transmission problems with applications to scattering of thermal waves. Zbl 1040.65099
Celorrio, Ricardo; Rapún, María-Luisa; Sayas, Francisco-Javier
2003
Periodic Dirac delta distributions in the boundary element method. Zbl 1004.65129
Celorrio, Ricardo; Domínguez, Víctor; Sayas, Francisco-Javier
2002
An interior-exterior Schwarz algorithm and its convergence. Zbl 1005.65134
Celorrio, Ricardo; Domínguez, Víctor; Sayas, Francisco-Javier
2002
Theoretical and numerical study of a free boundary problem by boundary integral methods. Zbl 0985.35114
Crouzeix, Michel; Féat, Philippe; Sayas, Francisco-Javier
2001
Full asymptotics of spline Petrov-Galerkin methods for some periodic pseudodifferential equations. Zbl 0973.65112
Domínguez, Víctor; Sayas, Francisco-Javier
2001
Extrapolation techniques and the collocation method for a class of boundary integral equations. Zbl 0973.65111
Celorrio, Ricardo; Sayas, Francisco-Javier
2001
Local expansions of periodic spline interpolation with some applications. Zbl 1087.41009
Domínguez, Víctor; Sayas, Francisco-Javier
2001
A fully discrete BEM-FEM for the exterior Stokes problem in the plane. Zbl 0981.65129
Meddahi, Salim; Sayas, Francisco-Javier
2000
...and 6 more Documents
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#### Cited by 693 Authors

 59 Sayas, Francisco-Javier 47 Cockburn, Bernardo 33 Gatica, Gabriel N. 19 Meddahi, Salim 18 Heuer, Norbert 16 Rapún, María-Luisa 15 Nguyen, Ngoc Cuong 14 Oyarzúa, Ricardo 13 Domínguez, Víctor 13 Qiu, Weifeng 12 Führer, Thomas 11 Solano, Manuel E. 11 Zhang, Yangwen 10 Fu, Guosheng 10 He, Xiaoming 10 Marquez-Duran, Antonio M. 10 Peraire, Jaume 9 Chung, Tsz Shun Eric 9 Monk, Peter B. 8 Bustinza, Rommel A. 8 Carpio, Ana 8 Chen, Gang 8 Hsiao, George C. 8 Praetorius, Dirk 8 Rhebergen, Sander 8 Ruiz-Baier, Ricardo 8 Shi, Ke 8 Singler, John R. 7 Bacuta, Constantin 7 Bui-Thanh, Tan 7 Gimperlein, Heiko 7 Karkulik, Michael 7 Li, Jian 7 Selgas, Virginia 7 Zheng, Haibiao 6 Banjai, Lehel 6 Chen, Huangxin 6 Chen, Zhangxin 6 Gatica, Luis F. 6 Kohr, Mirela 6 Melenk, Jens Markus 6 Peraire, Jaime 6 Sequeira, Filánder A. 6 Shen, Jiguang 6 Stephan, Ernst Peter 6 Wendland, Wolfgang L. 5 Barrios, Tomás P. 5 Erath, Christoph 5 Ern, Alexandre 5 Feischl, Michael 5 Mansur, Webe Joao 5 Özdemir, Ceyhun 5 Rieder, Alexander 5 Stark, David R. 5 Wells, Garth N. 5 Xie, Xiaoping 5 Zuo, Liyun 4 Al Mahbub, Md. Abdullah 4 Di Pietro, Daniele Antonio 4 Du, Guangzhi 4 Du, Shukai 4 Dutra do Carmo, Eduardo Gomes 4 Eppler, Karsten 4 Falletta, Silvia 4 Fernández-Méndez, Sonia 4 Gao, Yali 4 Harbrecht, Helmut 4 Hou, Yanren 4 Hu, Weiwei 4 Kim, Hyea Hyun 4 Lehrenfeld, Christoph 4 Lindsay, Alan E. 4 Lubich, Christian 4 Monegato, Giovanni 4 Sánchez-Vizuet, Tonatiuh 4 Schöberl, Joachim 4 Schorr, Robert 4 Scuderi, Letizia 4 Shi, Feng 4 Tsynkov, Semyon V. 4 Zhang, Shougui 4 Zhang, Wujun 3 Alvarez, Mario M. 3 Boubendir, Yassine 3 Carstensen, Carsten 3 Celiker, Fatih 3 Çeşmelioğlu, Ayçıl 3 Dimiduk, Thomas G. 3 Ervin, Vincent J. 3 Frymark, Dale 3 Fu, Zhixing 3 Ganesh, Madhu 3 González, María Paula 3 Gopalakrishnan, Jay 3 Gunzburger, Max D. 3 Hassell, Matthew E. 3 Hiptmair, Ralf 3 Huang, Hongying 3 Huerta, Antonio 3 Kronbichler, Martin ...and 593 more Authors
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#### Cited in 87 Serials

 67 Journal of Scientific Computing 42 Computers & Mathematics with Applications 38 Computer Methods in Applied Mechanics and Engineering 38 Journal of Computational Physics 38 Mathematics of Computation 38 Numerische Mathematik 25 SIAM Journal on Numerical Analysis 24 Journal of Computational and Applied Mathematics 24 Applied Numerical Mathematics 16 SIAM Journal on Scientific Computing 14 Advances in Computational Mathematics 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Engineering Analysis with Boundary Elements 7 Mathematical Methods in the Applied Sciences 7 Numerical Methods for Partial Differential Equations 5 Applicable Analysis 5 Inverse Problems 5 Journal of Mathematical Analysis and Applications 5 International Journal for Numerical Methods in Engineering 5 Abstract and Applied Analysis 4 Wave Motion 4 Applied Mathematics and Computation 4 Journal of Integral Equations and Applications 4 Numerical Algorithms 4 SIAM Journal on Mathematical Analysis 4 Computational Methods in Applied Mathematics 3 Computers and Fluids 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Calcolo 3 Computational Mechanics 3 Applied Mathematics Letters 3 Discrete and Continuous Dynamical Systems 3 Journal of Numerical Mathematics 3 Inverse Problems in Science and Engineering 2 BIT 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Japan Journal of Industrial and Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Computational and Applied Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Discrete and Continuous Dynamical Systems. Series B 2 Boundary Value Problems 2 Networks and Heterogeneous Media 2 SIAM Journal on Imaging Sciences 2 Advances in Mathematical Physics 2 Science China. Mathematics 2 S$$\vec{\text{e}}$$MA Journal 2 Results in Applied Mathematics 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Physics 1 ACM Transactions on Mathematical Software 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Proceedings of the London Mathematical Society. Third Series 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Mathematical Imaging and Vision 1 Calculus of Variations and Partial Differential Equations 1 Complexity 1 Mathematical Problems in Engineering 1 Optimization Methods & Software 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Engineering Computations 1 Journal of Dynamical and Control Systems 1 The ANZIAM Journal 1 Differential Equations 1 Archives of Computational Methods in Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Advances in Difference Equations 1 Science in China. Series G 1 Complex Variables and Elliptic Equations 1 Afrika Matematika 1 SMAI Journal of Computational Mathematics 1 SN Partial Differential Equations and Applications
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#### Cited in 29 Fields

 468 Numerical analysis (65-XX) 265 Partial differential equations (35-XX) 186 Fluid mechanics (76-XX) 88 Mechanics of deformable solids (74-XX) 43 Optics, electromagnetic theory (78-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 15 Integral equations (45-XX) 11 Integral transforms, operational calculus (44-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Approximations and expansions (41-XX) 4 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Biology and other natural sciences (92-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)