An efficient way to assemble finite element matrices in vector languages

DOI10.1007/s10543-015-0587-4zbMath1351.65088arXiv1401.3301OpenAlexW2963397658MaRDI QIDQ329010

François Cuvelier, Gilles Scarella, Caroline Japhet

Publication date: 21 October 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3301

zbMATH Keywords

performancealgorithmfinite elementsvectorizationMatlabnumerical resultPythonmatrix assemblyOctavevector languages

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Complexity and performance of numerical algorithms (65Y20) Packaged methods for numerical algorithms (65Y15)

Related Items (11)

An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains ⋮ An efficient way to assemble finite element matrices in vector languages ⋮ A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations ⋮ The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars ⋮ Fast native-MATLAB stiffness assembly for SIPG linear elasticity ⋮ On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems ⋮ A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries ⋮ FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains ⋮ Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements ⋮ Efficient multi-frequency solutions of FE-be coupled structural-acoustic problems using Arnoldi-based dimension reduction approach ⋮ FEM and BEM simulations with the Gypsilab framework

Uses Software

• Gmsh
• Matlab
• Octave
• R
• Scilab
• FreeFem++
• CUDA
• SuiteSparse
• CUSP
• iFEM
• p1afem
• MILAMIN
• Thrust
• STL
• OptFEM
• CSparse
• GitHub

Cites Work

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• An efficient way to assemble finite element matrices in vector languages
• Matlab implementation of the finite element method in elasticity
• Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements
• Efficient implementation of adaptive P1-FEM in Matlab
• Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements
• Direct Methods for Sparse Linear Systems
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• New development in freefem++
• Scientific Computing with MATLAB and Octave
• Galerkin Finite Element Methods for Parabolic Problems
• Finite Element Methods and Their Applications
• Modellistica Numerica per Problemi Differenziali

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