GPU accelerated computation of the isogeometric analysis stiffness matrix
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Publication:461008
DOI10.1016/j.cma.2013.11.008zbMath1296.65160OpenAlexW2037076132MaRDI QIDQ461008
A. Karatarakis, P. Karakitsios, Manolis Papadrakakis
Publication date: 9 October 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2013.11.008
parallel computingGauss quadratureGPU accelerationisogeometric analysisNURBSstiffness matrix assembly
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer-aided design (modeling of curves and surfaces) (65D17) Numerical algorithms for specific classes of architectures (65Y10)
Related Items (24)
The surrogate matrix methodology: low-cost assembly for isogeometric analysis ⋮ Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation ⋮ Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up ⋮ GPU accelerated initialization of local maximum-entropy meshfree methods for vibrational and acoustic problems ⋮ Multiscale modeling of thermo-mechanical responses of granular materials: a hierarchical continuum-discrete coupling approach ⋮ Efficient Matlab implementation of NURBS-based IGA and material design using isogeometric topology optimization ⋮ Finite element numerical integration for first order approximations on multi- and many-core architectures ⋮ Locally assembled stiffness matrix: a novel method to obtain global stiffness matrix ⋮ Enhanced domain decomposition Schwarz solution schemes for isogeometric collocation methods ⋮ Isogeometric analysis: an overview and computer implementation aspects ⋮ Numerical simulations of elastic wave propagation using graphical processing units -- comparative study of high-performance computing capabilities ⋮ Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity ⋮ Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity ⋮ A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0 ⋮ Mathematical analysis of variational isogeometric methods ⋮ Integration by interpolation and look-up for Galerkin-based isogeometric analysis ⋮ A parallel meshless dynamic cloud method on graphic processing units for unsteady compressible flows past moving boundaries ⋮ Large-scale robust topology optimization using multi-GPU systems ⋮ Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension ⋮ Fast formation of isogeometric Galerkin matrices by weighted quadrature ⋮ Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis ⋮ Reduced integration at superconvergent points in isogeometric analysis ⋮ Progressive optimization of complex shells with cutouts using a smart design domain method ⋮ Weighted quadrature for hierarchical B-splines
Uses Software
Cites Work
- Isogeometric collocation for elastostatics and explicit dynamics
- A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
- Real-time nonlinear finite element computations on GPU - application to neurosurgical simulation
- CFD-based analysis and two-level aerodynamic optimization on graphics processing units
- Efficient quadrature for NURBS-based isogeometric analysis
- A new era in scientific computing: domain decomposition methods in hybrid CPU-GPU architectures
- GPU implementation of lattice Boltzmann method for flows with curved boundaries
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- General purpose molecular dynamics simulations fully implemented on graphics processing units
- GPU-accelerated molecular dynamics simulation for study of liquid crystalline flows
- GPU computing with Kaczmarz's and other iterative algorithms for linear systems
- Towards dense linear algebra for hybrid GPU accelerated manycore systems
- Large calculation of the flow over a hypersonic vehicle using a GPU
- GPU-acceleration of stiffness matrix calculation and efficient initialization of EFG meshless methods
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- High-order finite-element seismic wave propagation modeling with MPI on a large GPU cluster
- Assembly of finite element methods on graphics processors
- Finite Element Integration on GPUs
- GPU-accelerated boundary element method for Helmholtz' equation in three dimensions
- Megapixel Topology Optimization on a Graphics Processing Unit
- Isogeometric Analysis
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