In this work, a Finite Element implementation of a higher order strain gradient theory (due to Fleck and Hutchinson, 2001) has been used within the framework of large deformation elasto-viscoplasticity to study the indentation of metals with indenters of various geometries.
A description of the order-optimized, symmetric, finite difference, flux-based, hybrid WENO/centered-difference scheme is given, along with its implementation in a high-order SAMR framework.
In this work, we describe the implementation of an arbitrarily high-order hybrid solver for linear, kinetic, radiative transport equations.
Finally, we present scalability results for a parallel implementation of the proposed high-order dG scheme for large-scale seismic wave propagation in a simplified earth model, demonstrating high parallel efficiency for strong scaling to the full size of the Jaguar Cray XT5 supercomputer.
A high-order front-tracking implementation of shock-fitting is also presented in this paper and nominal rate of convergence is shown.
For tHencetailevennalysis, we refor to our technical report [22].
A convenient implementation of the high-order fluxes is suggested, which guarantees improved computational efficiency over existing methods.
This approach is also nearly independent of p. Although the total iteration count is slightly higher than using AMG accelerated by CG directly on the high-order operator, the preconditioned approach has the advantage of a straightforward matrix-free implementation of the high-order operator, thereby avoiding typically large computational and storage costs.
