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20092024
most citedNodal Discontinuous Galerkin Methods on Graphics Processors

335 citations · 943 across the 37 of their papers we have counts for

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Showing 2014Show all

5 papers · 1 filter

math.NA2014★ 1 cited

A Comparison of High Order Interpolation Nodes for the Pyramid

Jesse Chan, T. Warburton

The use of pyramid elements is crucial to the construction of efficient hex-dominant meshes. For conforming nodal finite element methods with mixed element types, it is advantageou…

math.NA2014

High-Order Finite-differences on multi-threaded architectures using OCCA

David S. Medina, Amik St-Cyr, Timothy Warburton

High-order finite-difference methods are commonly used in wave propagators for industrial subsurface imaging algorithms. Computational aspects of the reduced linear elastic vertica…

math.NA2014★ 2 cited

Residual based adaptivity and PWDG methods for the Helmholtz equation

Shelvean Kapita, Peter Monk, T. Warburton

We present a study of two residual a posteriori error indicators for the Plane Wave Discontinuous Galerkin (PWDG) method for the Helmholtz equation. In particular we study the h-ve…

math.NA2014★ 51 cited

GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

R Gandham, D S Medina, T Warburton

We discuss the development, verification, and performance of a GPU accelerated discontinuous Galerkin method for the solutions of two dimensional nonlinear shallow water equations.…

cs.DC2014★ 86 cited

OCCA: A unified approach to multi-threading languages

David S Medina, Amik St-Cyr, T. Warburton

The inability to predict lasting languages and architectures led us to develop OCCA, a C++ library focused on host-device interaction. Using run-time compilation and macro expansio…