An h-Adaptive Implementation of the Discontinuous Galerkin Method for Nonlinear Hyperbolic Conservation Laws on Unstructured Meshes for Graphics Processing Units

DOI10.1007/978-3-319-30379-6_40zbMath1355.65132OpenAlexW2494600308MaRDI QIDQ2958804

Lilia Krivodonova, Andrew Giuliani

Publication date: 3 February 2017

Published in: Mathematical and Computational Approaches in Advancing Modern Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-30379-6_40

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Capturing Near-Equilibrium Solutions: A Comparison between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

Uses Software

• CUDA

Cites Work

• Multi-dimensional finite-volume scheme for hyperbolic conservation laws on three-dimensional solution-adaptive cubed-sphere grids
• Adaptive mesh refinement for hyperbolic partial differential equations
• Efficient shallow water simulations on GPUs: implementation, visualization, verification, and validation
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