Fatih Ecevit
Associate Professor
Research interests
Numerical analysis, partial differential equations, high-frequency scattering problems, asymptotic analysis
Refereed journal publications
[13] F. Ecevit and C.Y. Yıldırım:
The pseudoinverse of the Laplacian matrix: Asymptotic behavior of its trace,
Analysis Mathematica (to appear).
[12] A. Boysal, F. Ecevit and C.Y. Yıldırım:
Asymptotic evaluation of a lattice sum associated with the Laplacian matrix,
Analysis Mathematica (2022) 48(3):649-682.
[11] F. Ecevit , A. Anand, Y. Boubendir and S. Lazergui:
Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems,
Numerische Mathematik (2022) 150(3):803-847.
[10] F. Ecevit , A. Anand and Y. Boubendir:
Galerkin boundary element methods for high-frequency multiple scattering problems,
Journal of Scientific Computing (2020) 83(1):1-21.
[9] F. Ecevit and H.H. Eruslu:
A Galerkin BEM for high-frequency scattering problems based on frequency dependent changes of variables,
IMA Journal of Numerical Analysis (2019) 39(2):893-923.
[8] A. Boysal, F. Ecevit and C.Y. Yıldırım:
A lattice sum involving the cosine function,
Journal of Mathematical Analysis and Applications (2018) 463(1):134-160.
[7] F. Ecevit:
Frequency independent solvability of surface scattering problems,
Turkish J. Math. (2018) 42(2):407-422.
[6] F. Ecevit and H.Ç. Özen:
Frequency-adapted Galerkin boundary element methods for convex scattering problems,
Numerische Mathematik (2017) 135(1):27-71.
[5] Y. Boubendir, F. Ecevit and F. Reitich:
Acceleration of an Iterative Method for the Evaluation of High-Frequency Multiple Scattering Effects,
SIAM Journal on Scientific Computing (2017) 39(6):B1130-B1155.
[4] E. Duman, F. Ecevit, Ç. Çakır and O. Altan:
A novel collection optimization solution maximizing long-term profits: a case study in an International Bank,
Journal of Decision Systems (2017) 26(4):328-340.
[3] A. Anand, Y. Boubendir, F. Ecevit and F. Reitich:
Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case,
Numerische Mathematik (2010) 114(3):373-427.
[2] F. Ecevit and F. Reitich:
Analysis of multiple scattering iterations for high-frequency scattering problems. I: The two-dimensional case,
Numerische Mathematik (2009) 114(2):271-354.
[1] F. Ecevit:
Asymptotic expansions of multiply scattered surface currents,
Proceedings in Applied Mathematics and Mechanics (2008) 7:1022701-1022702.
Refereed conference proceedings
[5] F. Ecevit and F. Reitich:
Uniform asymptotic expansions of multiple scattering iterations,
Proceedings of the 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Pau, France (2009), 130-131.
[4] Y. Boubendir, F. Ecevit and F. Reitich:
High-frequency scattering problems: An appropriate preconditioner for a Krylov subspace algorithm,
Proceedings of the 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Pau, France (2009), 264-265.
[3] Y. Boubendir, F. Ecevit and F. Reitich:
Krylov subspace based acceleration strategies for the solution of high-frequency multiple scattering problems,
Proceedings of the 8th International Conference on Mathematical and Numerical Aspects of Wave Propagation, University of Reading, UK (2007), 41-43.
[2] F. Ecevit and F. Reitich:
Decay of multiple scattering iterates for trapping obstacles in the high-frequency regime,
Proceedings of International Association of BEM, Graz, Austria (2006), 177-180.
[1] F. Ecevit and F. Reitich:
A high-frequency integral equation method for electromagnetic and acoustic scattering simulations: rate of convergence of multiple scattering iterations,
Proceedings of the 7th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Brown University, Providence, RI (2005), 145-147.
Technical reports
[4] F. Ecevit:
Convergent scattering algorithms,
Oberwolfach Reports No. 10 (2010), 445-449.
[3] F. Ecevit:
Analysis of boundary element methods for high-frequency scattering problems,
Oberwolfach Reports, No. 19 (2008), 1000-1003.
[2] A. Anand, Y. Boubendir, F. Ecevit and F. Reitich:
Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case,
Max Planck Institute for Mathematics in the Sciences, Preprint 147 (2006), 1-27.
[1] F. Ecevit and F. Reitich:
Analysis of multiple scattering iterations for high-frequency scattering problems. I: The two-dimensional case,
Max Planck Institute for Mathematics in the Sciences, Preprint 137 (2006), 1-37.