3 papers
math.NA2024
A new interpolated pseudodifferential preconditioner for the Helmholtz equation in heterogeneous media
Sebastian Acosta, Tahsin Khajah, Benjamin Palacios
This paper introduces a new pseudodifferential preconditioner for the Helmholtz equation in variable media with absorption. The pseudodifferential operator is associated with the m…
math.NA2023
Method of virtual sources using on-surface radiation conditions for the Helmholtz equation
Sebastian Acosta, Tahsin Khajah
We develop a novel method of virtual sources to formulate boundary integral equations for exterior wave propagation problems. However, by contrast to classical boundary integral fo…
math.NA2018
Highly accurate acoustic scattering: Isogeometric Analysis coupled with local high order Farfield Expansion ABC
Tahsin Khajah, Vianey Villamizar
This work is concerned with a unique combination of high order local absorbing boundary conditions (ABC) with a general curvilinear Finite Element Method (FEM) and its implementati…