We extend the static condensation reduced basis element (scRBE) method to treat the class
of parametrized complex Helmholtz partial differential equations. The main ingredients are …

The aim of this paper is to propose a new method to solve the inverse scattering problem.
This method works directly in the time-dependent domain, using the wave equation and …

The applicability of the Dirichlet-to-Neumann technique coupled with finite difference
methods is enhanced by extending it to multiple scattering from obstacles of arbitrary shape …

We compare several On Surface Radiation Boundary Conditions in two dimensions, for
solving the Helmholtz equation exterior to an ellipse. We also introduce a new boundary …

The aim of this paper is to introduce time-reversed absorbing conditions in time-reversal
methods. They enable one to'recreate the past'without knowing the source which has …

The aim of this paper is to accurately solve short wave scattering problems governed by the
Helmholtz equation using the Bernstein–Bézier Finite Element method (BBFEM), combined …

This paper is devoted to the Non-Uniform Rational B-Spline Isogeometric analysis of the On-
Surface Radiation Condition (OSRC) method for solving two-and three-dimensional time …

We consider several compact high order absorbing boundary conditions (ABCs) for the
Helmholtz equation in three dimensions. A technique called “the gradient method”(GM) for …

We present a certified reduced basis method for high-fidelity real-time solution of
parametrized partial differential equations on deployed platforms. Applications include in …

When solving a scattering problem in an unbounded space, one needs to implement the
Sommerfeld condition as a boundary condition at infinity, to ensure no energy penetrates the …