IS22 - Iterative Methods and Preconditioners for Challenging Multiphysics Systems
S. De , M. Mayr , J. Shadid and H. Waismann
Multiphysics systems are often characterized by the highly nonlinear interaction of a
myriad of complex, multiple time- and length-scale physical mechanisms. All of them
impact the conditioning of the resulting system of linearized equations to be solved
within an iterative nonlinear solver. If solved monolithically, additional challenges arise
from the block structure of the system matrix. For the robust, efficient, and scalable
solution of the most challenging systems in science and engineering applications,
custom-built iterative methods and/or physics-informed approximate block factorization
preconditioners are required.
This minisymposium addresses the most important and active research topics for
iterative methods and block preconditioning for challenging multiphysics systems,
- preconditioned iterative solvers for multiphysics systems
- physics-based block preconditioning
- multi-level and multi-domain preconditioners
- approximate block factorizations
- the interplay of physics, algorithms, implementation, and hardware aspects
for applications in solid mechanics, e.g. contact and fracture problems, surface-coupled
problems such as fluid-structure interaction, and volume-coupled problems, e.g. reactive
flows, magneto-hydrodynamics, or plasma physics applications, among others.
Concerned with coupled systems of equations arising from multiphysics and multiscale
discretizations, this minisymposium aims to provide a forum for researchers to discuss
promising developments and advances in iterative methods in general and block
preconditioning for large sparse linear systems of equations in particular.