Research activities of Kees Vuik
Current research consists of Numerical Linear Algebra applied to
problems originating from the discretized Navier Stokes equations
and the solution of moving boundary problems (Stefan problems).
Numerical linear algebra topics
- Iterative methods for linear systems(
publications)
- Preconditioning for iterative methods(
publications)
- Deflation combined with iterative methods(
publications)
- Iterative methods for the Helmholtz equation (Krylov methods,
preconditioning, multigrid)(
publications)
- Iterative methods for Least Squares problems(
publications)
- Iterative methods to calculate eigenvalues(
publications)
Navier Stokes equation topics
(
publications)
- Solution of the Navier Stokes equations by the pressure correction
method
- Coupled approach, where the momentum and pressure equations are
solved simultaneously.
- Convection diffusion equation
- Poisson equation
I am interested in parallel computing in order to solve the discretized
Navier Stokes equations, which lead to very large linear systems.
- Interested in developments of PVM and MPI
- Domain decomposition methods
- Parallel methods for a cluster of workstations
Moving boundary problems
(
publications)
- Conservative discretization of the Stefan condition at the free
boundary
- Historical background of the Stefan problem
- Modelling and applications: etching problems, homogenization of
alloys etc.
- Numerical methods for multiphase flow, bubbles etc.
(
publications,
NWO-project)
Contact information:
Kees
Vuik
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Kees Vuik