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My research work is in the application of computational solid mechanics to problems involving wave propagation and shocks. I am investigating new techniques in two major axes - technological innovations and numerical innovations.
In terms of technological innovations, I am interested in hybrid parallelization of the finite element method in solid mechanics. For example, GPGPU acceleration can be used for finite element problems, but current memory limitations in graphics cards limit the largest problem that can be done. However, well established codes exist for MPI parallel finite element methods. A hybrid method would use MPI synchronization among processor partitions and GPU acceleration for computation within a single partition. Another possibility would use OpenMP for shared memory acceleration within a single multiprocessor node, as technological trends suggest massively multicore processors in the near future.
In terms of numerical innovations, I am investigating the application of higher order Discontinuous Galerkin methods to wave and shock propagation in solids. Such techniques have yielded promising results in the fluids community, although they are only beginning to be applied extensively to problems in solid mechanics.
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