One-dimensional self-adaptive interpolations in the p-convergence procedure

DOI10.1016/0045-7825(83)90053-1zbMath0504.65066OpenAlexW2057971520MaRDI QIDQ1836291

Masayuki Okabe

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90053-1

zbMATH Keywords

finite element methodautomated convergence procedureself-adaptivity

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (2)

Discrete orthogonal polynomials inherent to sampling points at equal intervals ⋮ Full-explicit interpolation formulas for the Argyris triangle

Cites Work

• Unnamed Item
• Computational error estimates and adaptive processes for some nonlinear structural problems
• Basis transformation of trial function space in Lagrange interpolation
• Hierarchies of conforming finite elements for plane elasticity and plate bending
• Self-adaptive finite elements in fracture mechanics
• Nodal variables for complete conforming finite elements of arbitrary polynomial order
• Some recent developments in finite element analysis
• Thep-Version of the Finite Element Method
• A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems
• An energy basis for mesh refinement of structural continua
• p-convergent finite element approximations in fracture mechanics
• Hierarchal finite elements and precomputed arrays
• Adaptive approximations in finite element structural analysis
• A‐posteriori error estimates for the finite element method

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