Substructured macro elements based on locally blended interpolation
- 1 January 1977
- journal article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 11 (9) , 1405-1421
- https://doi.org/10.1002/nme.1620110906
Abstract
In this paper we describe a new class of locally refined macro finite elements which are especially amenable to the use of substructuring techniques for the efficient solution of the resulting idealization. The tools and guidelines illustrated by the examples of modelling crack tips, point load singularities and singularities at re‐entrant corners should enable an analyst to construct other such blended macro elements specifically tailored to his particular class of problems. The use of such substructured macro elements in finite element calculations permits substantial reduction in the manual effort of data preparation and the computational cost of numerical solution.Keywords
This publication has 11 references indexed in Scilit:
- Ritz-Galerkin approximations in blending function spacesNumerische Mathematik, 1976
- Local mesh refinement using rectangular blended finite elementsJournal of Computational Physics, 1975
- Multivariate Approximation by Locally Blended Univariate InterpolantsProceedings of the National Academy of Sciences, 1974
- On the use of singular functions with finite element approximationsJournal of Computational Physics, 1973
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domainsNumerische Mathematik, 1973
- A hybrid‐element approach to crack problems in plane elasticityInternational Journal for Numerical Methods in Engineering, 1973
- Construction of curvilinear co‐ordinate systems and applications to mesh generationInternational Journal for Numerical Methods in Engineering, 1973
- A technique for mesh grading applied to conforming plate bending finite elementsInternational Journal for Numerical Methods in Engineering, 1973
- Blending-Function Methods of Bivariate and Multivariate Interpolation and ApproximationSIAM Journal on Numerical Analysis, 1971
- On the finite element method in linear fracture mechanicsEngineering Fracture Mechanics, 1970