A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form

K Duru, L Rannabauer, AA Gabriel, G Kreiss… - Numerische …, 2020 - Springer
We present a stable discontinuous Galerkin (DG) method with a perfectly matched layer
(PML) for three and two space dimensional linear elastodynamics, in velocity-stress …

A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes

K Duru, L Rannabauer, AA Gabriel, H Igel - Journal of Scientific Computing, 2021 - Springer
The discontinuous Galerkin (DG) method is an established method for computing
approximate solutions of partial differential equations in many applications. Unlike …

Role-oriented code generation in an engine for solving hyperbolic PDE systems

JM Gallard, L Krenz, L Rannabauer, A Reinarz… - Tools and Techniques …, 2020 - Springer
The development of a high performance PDE solver requires the combined expertise of
interdisciplinary teams with respect to application domain, numerical scheme and low-level …

A new discontinuous Galerkin spectral element method for elastic waves with physically motivated numerical fluxes

K Duru, L Rannabauer, AA Gabriel, H Igel - arXiv preprint arXiv …, 2018 - arxiv.org
The discontinuous Galerkin (DG) method is an established method for computing
approximate solutions of partial differential equations in many applications. Unlike …

Upwind summation by parts finite difference methods for large scale elastic wave simulations in 3D complex geometries

K Duru, F Fung, C Williams - arXiv preprint arXiv:2011.02600, 2020 - arxiv.org
High-order accurate summation-by-parts (SBP) finite difference (FD) methods constitute
efficient numerical methods for simulating large-scale hyperbolic wave propagation …

Vectorization and minimization of memory footprint for linear high-order discontinuous Galerkin schemes

JM Gallard, L Rannabauer, A Reinarz… - 2020 IEEE …, 2020 - ieeexplore.ieee.org
We present a sequence of optimizations to the performance-critical compute kernels of the
high-order discontinuous Galerkin solver of the hyperbolic PDE engine ExaHyPE …

Role-Oriented Code Generation in an Engine for Solving Hyperbolic PDE Systems

A Reinarz, M Bader - Tools and Techniques for High Performance …, 2020 - books.google.com
The development of a high performance PDE solver requires the combined expertise of
interdisciplinary teams with respect to application domain, numerical scheme and low-level …

[引用][C] Dispersion relation preserving fd schemes and self-affine dg elements

C Williams - 2021 - The Australian National University