Fast solvers for simulation, inversion, and control of wave propagation problems

Fast solvers for simulation, inversion, and control of wave propagation problems

Fast solvers for optimal control problems from pattern formation

The modelling of pattern formation in biological systems using various models of reaction-diffusion type has been an active research topic for many years. We here look at a parameter identification (or PDE-constrained optimization) problem where the Schnakenberg and Gierer-Meinhardt equations, two well-known pattern formation models, form the constraints to an objective function. Our main focus...

Fast Iterative Solvers for Convection-diffusion Control Problems∗

In this manuscript, we describe effective solvers for the optimal control of stabilized convectiondiffusion control problems. We employ the Local Projection Stabilization, which results in the same matrix system whether the discretize-then-optimize or optimize-then-discretize approach for this problem is used. We then derive two effective preconditioners for this problem, the first to be used w...

Simulation of Wave Propagation over Coastal Structures Using WCSPH Method

In this paper a space-averaged Navier–Stokes approach was deployed to simulate the wave propagation over coastal structures. The developed model is based on the smoothed particle hydrodynamic (SPH) method which is a pure Lagrangian approach and can handle large deformations of the free surface with high accuracy. In this study, the large eddy simulation (LES) turbulent model was coupled with th...

Simulation of Wave Propagation

The application of multidimensional digital ltering theory to the simulation of continuous systems with distributed parameters has been treated in various recent contributions. Here, two diierent concepts will be compared, using a lossy transmission line of nite extent as an example. One approach is based on multidimensional wave digital lters, the other on the derivation of a simulating struct...