Distortion, degeneracy and rezoning in finite element -- a survey.

DOI10.1007/BF02811901zbMath1048.74592OpenAlexW2062144062MaRDI QIDQ5955766

Ashok D. Belegundu, Raviprakash R. Salagame

Publication date: 18 February 2002

Published in: Sādhanā (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02811901

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)

Related Items (1)

Eulerian shape design sensitivity analysis and optimization with a fixed grid

Cites Work

• Unnamed Item
• Unnamed Item
• Determining invertible two and three dimensional quadratic isoparametric finite element transformations
• Adaptive grid-design methods for finite element analysis
• On a mesh optimization method based on a minimization of interpolation error
• Generation of solution-adaptive computational grids using optimization
• Grid orthogonalization for curvilinear alternating-direction techniques
• Advantages of cubics for approximating element boundaries
• Analytical integral formulae related to convex quadrilateral finite elements
• Assessing the quality of curvilinear coordinate meshes by decomposing the Jacobian matrix
• A constrained optimization approach to finite element mesh smoothing
• A method of grid optimization for finite element methods
• Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
• Automatic adaptive remeshing for finite element simulation of forming processes
• Forbidden nodes for curved finite elements
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Adaptive 2D finite element simulation of metal forming processes
• A mesh re-zoning technique for finite element simulations of metal forming processes
• Generation of computational grids using optimization
• Inadmissible distortion of solid elements and patch test results
• Isoparametric quadrilaterals and hexahedrons for mesh-grading algorithms
• Mesh rezoning of 2D isoparametric elements by inversion
• The interpolation function of a general serendipity rectangular element
• The synthesis of near-optimum finite element meshes with interactive computer graphics
• A warning against misuse of quarter-point elements
• Analytical determination of the optimal strain and stress points for the displacement model of the finite element method
• Two-dimensional MESH potimization in the finite element method
• Assessment of discretized errors and adaptive refinement with quadrilateral finite elements
• On a Numerical Sufficiency Test for Monotonic Convergence of Finite Element Models
• The Use of Parabolic Arcs in Matching Curved Boundaries in the Finite Element Method
• Node Requirements for High-order Approximation over Curved Finite Elements
• Optimal stress locations in finite element models
• An energy basis for mesh refinement of structural continua
• Some Results on the Global Inversion of Bilinear and Quadratic Isoparametric Finite Element Transformations
• An analysis of a cubic isoparametric transformation
• High Order Transformation Methods for Curved Finite Elements
• An Algorithm for Determining Invertible Quadratic Isoparametric Finite Element Transformations
• Accuracy and condition of curved (isoparametric) finite elements
• Comparison and evaluation of stiffness matrices.
• Bigradients and the Problem of Routh and Hurwitz
• Forbidden Shapes in the Finite Element Method
• Discretization and computational errors in high-order finite elements
• A Rational Basis for Function Approximation
• Condition of finite element matrices generated from nonuniform meshes.
• The Construction of Basis Functions for Curved Elements in the Finite Element Method
• More on optimal stress points—reduced integration, element distortions and error estimation

This page was built for publication: Distortion, degeneracy and rezoning in finite element -- a survey.