(Tenure
Track)
Associate
Professor
Department of Mathematical Sciences
University of Delaware
532 Ewing Hall
Newark, DE 19716
E-mail: fjsayas (at) math.udel.eduRound and around the world
These are some of the meetings I'll be attending in 2012 and later
- NSF Workshop on the BEM: brigding education and industrial applications. Minneapolis, MN. April 23-26. Talk on BEM for waves.
- DelMar
Numerics Day. Newark, DE. April 28.
- NSF/CBMS
Conference: Finite Element Exterior Calculus.
Providence, RI. June 11-15.
- Eigenvalues/singular values and fast PDE algorithms: acceleration, conditioning, and stability. Banff International Research Station, Banff, Alberta, Canada. June 24-29.
- 2012 SIAM Annual Meeting. Minneapolis, MN. July 9-13. Minisymposium on Numerical Approximation of Viscous Flows. Talk on the gap property for Stokes (work with J. Guzman, S. Meddahi and V. Selgas)
- Workshop on
Numerical Methods for Ordinary and Partial Differential
Equations and Applications. Dedicated to the 65th
birthday of Francisco J Lisbona. Zaragoza, Spain.
September 3-5. Talk on discrete Calderon calculus (work
with V. Dominguez and S. Lu)
- IABEM 2013.
Santiago de Chile. January 9-11, 2013. Round and around
obstacles with transient Stokes flow
- WONAPDE
2013. Concepcion, Chile. January 14-18, 2013. Talk
on Discrete Huygens potentials
- Oberwolfach Workshop on Computational Electromagnetism and Acoustics. MFO, Germany. January 20-26, 2013.
- Advances
in Computational Mechanics. A conference celebrating
the 70th birthday of Thomas J.R. Hughes. San Diego, CA.
February 24-27, 2013. Talk on HDG for Stokes (work with B.
Cockburn)
Hot and new
Teaching in
the fall: I'll be teaching MATH 835. Evolutionary partial
differential equations. Website available in the summer
New paper submitted: Strong coupling of finite element methods for the Stokes-Darcy problem (with A. Marquez and S. Meddahi). Preprint in arXiv
New paper submitted: A note on the Ladyzenskaja-Babuska-Brezzi condition (with J. Guzman and A. Salgado). Preprint in arXiv
New paper submitted: Analysis of a non-symmetric coupling of Interior Penalty DG and BEM (with N. Heuer). Preprint in arXiv
New paper submitted: Some properties of layer potentials and boundary integral operators for the wave equation (with V. Dominguez). Preprint in arXiv.
Retarded Potentials and Time Domain Boundary Integral Equations: a road-map (Notes for the Coruña Workshop on Scattering. There will be some serious progress on this at the end of the year.)
New paper submitted: Strong coupling of finite element methods for the Stokes-Darcy problem (with A. Marquez and S. Meddahi). Preprint in arXiv
New paper submitted: A note on the Ladyzenskaja-Babuska-Brezzi condition (with J. Guzman and A. Salgado). Preprint in arXiv
New paper submitted: Analysis of a non-symmetric coupling of Interior Penalty DG and BEM (with N. Heuer). Preprint in arXiv
New paper submitted: Some properties of layer potentials and boundary integral operators for the wave equation (with V. Dominguez). Preprint in arXiv.
Retarded Potentials and Time Domain Boundary Integral Equations: a road-map (Notes for the Coruña Workshop on Scattering. There will be some serious progress on this at the end of the year.)
My research deals with the following subjects, all of them related to Numerical Analysis and Scientific Computing
- Boundary element methods and their applications
- Coupling and overlapping of Boundary and Finite Element Methods
- Scattering of waves in the time and frequency domain
- Abstract numerical analysis
- Discontinuous Galerkin Methods
- Stokes, Stokes-Darcy
and other viscous flows
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