5 papers
A Model Order Reduction Method for Seismic Applications Using the Laplace Transform
Fernando Henriquez, Matthias Schlottbom
We devise and analyze a reduced basis model order reduction (MOR) strategy for an abstract wave problem with vanishing initial conditions and a source term given by the product of…
High-order discretized ACMS method for the simulation of finite-size two-dimensional photonic crystals
Elena Giammatteo, Alexander Heinlein, Philip Lukas Lederer +1
The computational complexity and efficiency of the approximate mode component synthesis (ACMS) method is investigated for the two-dimensional heterogeneous Helmholtz equations, aim…
On accelerated iterative schemes for anisotropic radiative transfer using residual minimization
Riccardo Bardin, Matthias Schlottbom
We consider the iterative solution of anisotropic radiative transfer problems using residual minimization over suitable subspaces. We show convergence of the resulting iteration us…
Model order reduction for seismic applications
Rhys Hawkins, Muhammad Hamza Khalid, Matthias Schlottbom +1
We propose a model order reduction approach to speed up the computation of seismograms, i.e. the solution of the seismic wave equation evaluated at a receiver location, for differe…
Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry
Markus Bachmayr, Riccardo Bardin, Matthias Schlottbom
The radiative transfer equation (RTE) has been established as a fundamental tool for the description of energy transport, absorption and scattering in many relevant societal applic…