Fixed grid finite elements in elasticity problems

DOI10.1108/02644409910257430zbMath0948.74059OpenAlexW2050995602MaRDI QIDQ4700976

Grant P. Steven, M. J. García-Ruíz

Publication date: 8 November 1999

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409910257430

zbMATH Keywords

elasticitystress fieldstiffness matrix generationfixed grid representationleast squares local approximation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

FIXED GRID FINITE ELEMENT ANALYSIS FOR 3D STRUCTURAL PROBLEMS, Inverse geometry heat conduction analysis of functionally graded materials using smoothed fixed grid finite elements, Efficient finite element methodology based on Cartesian grids: application to structural shape optimization, Imposing Dirichlet boundary conditions in hierarchical Cartesian meshes by means of stabilized Lagrange multipliers, An extension of the finite cell method using Boolean operations, \(\mathrm{E(FG)}^2\): a new fixed-grid shape optimization method based on the element-free Galerkin mesh-free analysis: taking large steps in shape optimization, Topology design of three-dimensional continuum structures using isosurfaces, Structural design optimization subjected to uncertainty using fat Bézier curve, Eulerian shape design sensitivity analysis and optimization with a fixed grid, Effective optimisation of continuum topologies through a multi-GA system, Simultaneous material, shape and topology optimization, GPGPU-based parallel computing applied in the FEM using the conjugate gradient algorithm: a review, Structural Shape Optimization By Coupled FE–MM and Swarm Intelligence-Based Algorithm, Octree-based integration scheme with merged sub-cells for the finite cell method: application to non-linear problems in 3D

Cites Work

• Fixed grid techniques for phase change problems: A review
• On the numerical modelling of heat transfer during solidification processes
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• Optimal stress locations in finite element models
• Three-dimensional alpha shapes
• Local and global smoothing of discontinuous finite element functions using a least squares method