10 citations · 35 across the 10 of their papers we have counts for
14 papers
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…
Fourier smoothed pre-corrected trapezoidal rule for solution of Lippmann-Schwinger integral equation
Ambuj Pandey, Akash Anand
For the numerical solution of the Lippmann-Schwinger equation, while the pre-corrected trapezoidal rule converges with high-order for smooth compactly supported densities, it exhib…
The Cauchy dual subnormality problem for cyclic -isometries
Akash Anand, Sameer Chavan, Zenon Jan Jabłoński +1
The Cauchy dual subnormality problem asks whether the Cauchy dual operator of a -isometry is subnormal. Recently this problem has been solved in the negative. Here we show that…
Trefftz Finite Elements on Curvilinear Polygons
Akash Anand, Jeffrey S. Ovall, Samuel Reynolds +1
We present a Trefftz-type finite element method on meshes consisting of curvilinear polygons. Local basis functions are computed using integral equation techniques that allow for t…
Analytic -isometries without the wandering subspace property
Akash Anand, Sameer Chavan, Shailesh Trivedi
The wandering subspace problem for an analytic norm-increasing -isometry on a Hilbert space asks whether every -invariant subspace of can be gen…
A Fourier extension based numerical integration scheme for fast and high-order approximation of convolutions with weakly singular kernels
Akash Anand, Awanish Kumar Tiwari
Computationally efficient numerical methods for high-order approximations of convolution integrals involving weakly singular kernels find many practical applications including thos…