Numerical methods for multi-scale problems
Theme Manager: Professor
I.G. Graham, Mathematical Sciences
- Parallel elliptic solvers for diffusion in heterogeneous media in
2D and 3D which are robust to multiple scales in the problem, both
in terms of their accuracy and their solution times.
- Solvers for frequency domain wave propagation in heterogeneous media
which are able to locate band gap phenomena, using hybrid numerical/asymptotic
- Application of codes to computation of band gap phenomena in periodic
and non-periodic wave localization problems in photonic crystals.
- Application to porous media flow and verification of solver on benchmark
problems from the Society of Petroleum Engineers and on real problems
in oil recovery or waste management applications.
- Adaptive methods for 2D problems with singular and near singular
solutions exploiting (emergent) scaling properties.
- Application to nonlinear optics problems and to blow-up problems
in 2-D Boussinesq convection.
- World class workshop on numerical techniques
for multi-scale problems.
CURRENT RESEARCH HIGHLIGHTS
Within Theme D there has been much progress in innovative numerical analysis and algorithm design in a number of application areas. Click here for further details.