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 new hybridizable discontinuous Galerkin method, named the CHDG method, is proposed
for solving time-harmonic scalar wave propagation problems. This method relies on a …

Numerical solutions of heterogeneous Helmholtz problems present various computational
challenges, with descriptive theory remaining out of reach for many popular approaches …

We consider the use of multipreconditioning, which allows for multiple preconditioners to be
applied in parallel, on high-frequency Helmholtz problems. Typical applications present …

This PhD project is devoted to non-overlapping Schwarz domain decomposition methods for
the resolution of high frequency flow acoustics problems of industrial relevance. Time …

We consider sweeping domain decomposition preconditioners to solve the Helmholtz
equation in the case of stripwise domain decomposition with or without overlaps. We unify …

The numerical simulation of wave propagation phenomena is of paramount importance in
many scientific and engineering disciplines. Many time-harmonic problems can be solved …

A Block Jacobi Sweeping Preconditioner for the Helmholtz Equation Page 1 A Block Jacobi
Sweeping Preconditioner for the Helmholtz Equation Ruiyang Dai 1 Introduction Solving …

In this work we extend the shifted Laplacian approach to the elastic Helmholtz equation. The
shifted Laplacian multigrid method is a common preconditioning approach for the …