Generation of large finite-element matrices on multiple graphics processors

DOI10.1002/nme.4452zbMath1352.65494OpenAlexW2109493417MaRDI QIDQ2952238

A. Dziekonski, P. Sypek, A. Lamecki, M. Mrozowski

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4452

zbMATH Keywords

finite element methodparallel computingmultiple GPUsFermimatrix generationmulticore CPUs

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical algorithms for specific classes of architectures (65Y10)

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Uses Software

• CUDA
• MKL

Cites Work

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• Nodal discontinuous Galerkin methods on graphics processors
• Large calculation of the flow over a hypersonic vehicle using a GPU
• GPU accelerated lattice Boltzmann model for shallow water flow and mass transport
• Optimizing the multipole-to-local operator in the fast multipole method for graphical processing units
• OpenCL-based implementation of an unstructured edge-based finite element convection-diffusion solver on graphics hardware
• Running unstructured grid-based CFD solvers on modern graphics hardware
• Assembly of finite element methods on graphics processors
• GPU-accelerated boundary element method for Helmholtz' equation in three dimensions
• Analytic preconditioners for the electric field integral equation
• Finite Difference Approximation for Pricing the American Lookback Option