Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements

DOI10.1016/j.amc.2011.08.043zbMath1288.65169OpenAlexW2117020745MaRDI QIDQ2451296

Jan Valdman, Talal Rahman

Publication date: 3 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.043

zbMATH Keywords

finite elementsstiffnessmass matricesMATLAB code vectorizationsoftware MATLAB

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (27)

Minimization of \(p\)-Laplacian via the finite element method in MATLAB ⋮ Fast Matlab evaluation of nonlinear energies using FEM in 2D and 3D: nodal elements ⋮ Identification problems with given material interfaces ⋮ An efficient way to assemble finite element matrices in vector languages ⋮ A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate ⋮ Fast native-MATLAB stiffness assembly for SIPG linear elasticity ⋮ On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems ⋮ Asymptotic models of the diffusion MRI signal accounting for geometrical deformations ⋮ Divergence‐free finite elements for the numerical solution of a hydroelastic vibration problem ⋮ Surface penalization of self-interpenetration in linear and nonlinear elasticity ⋮ Eigensensitivity of damped system with distinct and repeated eigenvalues by chain rule ⋮ Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments ⋮ MATLAB implementation of hp finite elements on rectangles using hierarchical basis functions ⋮ Rapid non-linear finite element analysis of continuous and discontinuous Galerkin methods in MATLAB ⋮ Interfacial polyconvex energy-enhanced evolutionary model for shape memory alloys ⋮ Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms ⋮ MATLAB Implementation of Element-Based Solvers ⋮ Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements ⋮ Numerical approximation of von Kármán viscoelastic plates ⋮ Computational modeling of magnetic hysteresis with thermal effects ⋮ On a dissolution-diffusion model. Existence, uniqueness, regularity and simulations ⋮ FESTUNG: A~MATLAB/GNU~Octave~toolbox for the discontinuous Galerkin method. I: Diffusion operator ⋮ Efficient and flexible Matlab implementation of 2D and 3D elastoplastic problems ⋮ Perfect Plasticity with Damage and Healing at Small Strains, Its Modeling, Analysis, and Computer Implementation ⋮ FEM and BEM simulations with the Gypsilab framework ⋮ \(o\) FEM: an object oriented finite element package for Matlab ⋮ Verification of functional a posteriori error estimates for obstacle problem in 2D

Uses Software

• Matlab
• p1afem
• na14
• DistMesh
• SERF2DMatLab

Cites Work

• Matlab implementation of the finite element method in elasticity
• Minimization of functional majorant in a posteriori error analysis based on \(H\)(div) multigrid-preconditioned CG method
• Remarks around 50 lines of Matlab: short finite element implementation
• Efficient implementation of adaptive P1-FEM in Matlab
• A Simple Mesh Generator in MATLAB
• Unnamed Item
• Unnamed Item

This page was built for publication: Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements