Fatih Ecevit
Boğaziçi University
17 Papers
127 Citations
Fatih Ecevit is an academic researcher from Boğaziçi University. The author has contributed to research in topics: Galerkin method & Scattering. The author has an hindex of 7, co-authored 15 publications.
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Papers
Analysis of multiple scattering iterations for high-frequency scattering problems. I: the two-dimensional case
Fatih Ecevit,Fernando Reitich +1 more
TL;DR: It is shown that the detailed asymptotic knowledge of these currents can be used to accelerate this convergence of the multiple-scattering series and, thus, to reduce the number of iterations necessary to attain a prescribed accuracy.
Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case
TL;DR: It is explained here how the results of the analysis can be used to accelerate the convergence of the multiple-scattering series and, thus, to provide significant savings in computational times.
Frequency-adapted Galerkin boundary element methods for convex scattering problems
Fatih Ecevit,Hasan Çağan Özen +1 more
TL;DR: A class of hybrid boundary element methods for the solution of sound soft scattering problems in the exterior of two-dimensional smooth convex obstacles give rise to linear systems with significantly enhanced condition numbers and this, in turn, allows for more accurate solutions if desired.
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Galerkin Boundary Element Methods for High-Frequency Multiple-Scattering Problems
TL;DR: High-frequency multiple-scattering problems in the exterior of two-dimensional smooth scatterers consisting of finitely many compact, disjoint, and strictly convex obstacles are considered and Galerkin boundary element methods are proposed to deal with this problem.
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A Galerkin BEM for high-frequency scattering problems based on frequency-dependent changes of variables
Fatih Ecevit,Hasan Eruslu +1 more
TL;DR: In this paper, a class of efficient Galerkin boundary element methods for the solution of two-dimensional exterior single-scattering problems is presented. But these methods are applicable only to smooth convex obstacles and require only an O(k √ O( k √ n) degree of freedom to maintain any given accuracy independent of frequency.
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