Towards a complete FEM-based simulation toolkit on GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses

DOI10.1016/j.compfluid.2012.01.025zbMath1284.76249OpenAlexW2083322338MaRDI QIDQ2446654

Markus Geveler, P. Zajac, Dirk Ribbrock, Stefan Turek, Dominik Göddeke

Publication date: 17 April 2014

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2012.01.025

zbMATH Keywords

finite elementssparse matricesunstructured gridsmultigrid solversGPU computingstrong smoothers

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Numerical algorithms for specific classes of architectures (65Y10)

Related Items

Numerical solution and convergence analysis of steam injection in heavy oil reservoirs ⋮ Stress-aware large-scale mesh editing using a domain-decomposed multigrid solver ⋮ Accelerated finite element elastodynamic simulations using the GPU ⋮ Matrix-free GPU implementation of a preconditioned conjugate gradient solver for anisotropic elliptic PDEs ⋮ Finite element numerical integration for first order approximations on multi- and many-core architectures ⋮ Mapping Cohesive Fracture and Fragmentation Simulations to Graphics Processor Units ⋮ Towards a complete FEM-based simulation toolkit on GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses ⋮ Basic Machine Learning Approaches for the Acceleration of PDE Simulations and Realization in the FEAT3 Software ⋮ GPU acceleration for FEM-based structural analysis ⋮ Sparse approximate inverse preconditioners on high performance GPU platforms ⋮ GPU accelerated spectral finite elements on all-hex meshes ⋮ Architecting the finite element method pipeline for the GPU ⋮ FE-gMG

Uses Software

• CUDA
• FEATFLOW

Cites Work

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• Towards a complete FEM-based simulation toolkit on GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses
• Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method
• Assembly of finite element methods on graphics processors
• Parallel Preconditioning with Sparse Approximate Inverses