8 citations · 8 across the 5 of their papers we have counts for
6 papers
The pseudoinverse of the Laplacian matrix: Asymptotic behavior of its trace
Fatih Ecevit, Cem Yalçın Yıldırım
In this paper we are concerned with the asymptotic behavior of \[ \operatorname{tr}(\mathcal{L}^+_{\rm sq}) = \frac{1}{4} \sum_{j,k=0 \atop (j,k) \neq (0,0)}^{n-1} \frac{1}{1-\frac…
Asymptotic expansions of high-frequency multiple scattering iterations for sound hard scattering problems
Yassine Boubendir, Fatih Ecevit
We consider the two-dimensional high-frequency plane wave scattering problem in the exterior of a finite collection of disjoint, compact, smooth, strictly convex obstacles with Neu…
Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems
Akash Anand, Yassine Boubendir, Fatih Ecevit +1
This paper is concerned with the design of two different classes of Galerkin boundary element methods for the solution of high-frequency sound-hard scattering problems in the exter…
Asymptotic evaluation of a lattice sum associated with the Laplacian matrix
Arzu Boysal, Fatih Ecevit, Cem Yalçın Yıldırım
The Laplacian matrix is of fundamental importance in the study of graphs, networks, random walks on lattices, and arithmetic of curves. In certain cases, the trace of its pseudoinv…
A Galerkin BEM for high-frequency scattering problems based on frequency dependent changes of variables
Fatih Ecevit, Hasan Hüseyin Eruslu
In this paper we develop a class of efficient Galerkin boundary element methods for the solution of two-dimensional exterior single-scattering problems. Our approach is based upon…
Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects
Yassine Boubendir, Fatih Ecevit, Fernando Reitich
High frequency integral equation methodologies display the capability of reproducing single-scattering returns in frequency-independent computational times and employ a Neumann ser…