research interests

Ivan Graham : Research Interests

My Research is in Numerical Analysis, and concentrates mainly on the numerical solution of elliptic partial differential equations (particularly in 3D) including

Finite and Boundary Element Methods
Numerical Methods for Multiscale Problems
Domain Decomposition Methods
Adaptive Finite Element Methods

Here are some current and recent projects:

Domain Decomposition for Multiscale PDEs and applications in porous media flow With Robert Scheichl	Inverse estimates for finite elements and applications With Wolfgang Dahmen , Birgit Faermann , Wolfgang Hackbusch and Stefan Sauter
Robust Numerical Methods for High-frequency Acoustic and Electromagnetic scattering With Victor Dominguez , Valery Smyshlyaev and Bradley Bonner	Efficient algorithms for acoustic scattering in 3D With Ian Sloan and M. Ganesh
Iterative methods for Galerkin BEM matrices on anisotropic meshes With Bill Mclean, Lars Grasedyck , Wolfgang Hackbusch and Stefan Sauter	Parallel Methods for PDE eigenproblems With Alastair Spence , Eero Vainikko and Joerg Berns-Mueller