This paper deals with the design and validation of accurate local absorbing boundary
conditions set on convex polygonal and polyhedral computational domains for the finite …

Schwarz methods use a decomposition of the computational domain into subdomains and
need to impose boundary conditions on the subdomain boundaries. In domain truncation …

A non-overlapping domain decomposition method (DDM) is proposed for the parallel finite-
element solution of large-scale time-harmonic wave problems. It is well-known that the …

It is well-known that the convergence rate of non-overlapping domain decomposition
methods (DDMs) applied to the parallel finite-element solution of large-scale time-harmonic …

We present the first fast solver for the high-frequency Helmholtz equation that scales
optimally in parallel for a single right-hand side. The L-sweeps approach achieves this …

This paper explores a family of generalized sweeping preconditioners for Helmholtz
problems with non-overlapping checkerboard partition of the computational domain. The …

In this article, several discontinuous Petrov–Galerkin (DPG) methods with perfectly matched
layers (PMLs) are derived along with their quasi-optimal graph test norms. Ultimately, two …

We have developed a fast solver for the 3D Helmholtz equation, in heterogeneous, constant
density, acoustic media, in the high-frequency regime. The solver is based on the method of …

The parallel finite-element solution of large-scale time-harmonic wave problems is
addressed with a non-overlapping optimized Schwarz domain decomposition method …

VAZIRI ASTANEH, ALI. On the Forward and Inverse Computational Wave Propagation Problems.
(Under the direction of Dr. Mu Page 1 ABSTRACT VAZIRI ASTANEH, ALI. On the Forward and …