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Orthogonal collocation on finite elements for elliptic equations

✍ Scribed by P.W. Chang; B.A. Finlayson

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
620 KB
Volume
20
Category
Article
ISSN
0378-4754

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✦ Synopsis

orthogonal collocation with those of the finite element method.

The method is illustrated for a Poisson equation (heat conduction with source term) in a rectangular domain. Two different basis functions are employed:

either Hermite or Lagrange polynomials (with first derivative continuity imposed to ensure equivalence to the Hermite basis). Cubic or higher degree polynomials are used. The equations are solved using an L&decomposition for the Hermite basis and an alternating direction implicit (ADI) method for the Lagrange basis.

πŸ“œ SIMILAR VOLUMES

Orthogonal collocation on finite element
Orthogonal collocation on finite elementsβ€”progress and potential
✍ Bruce A. Finlayson πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 684 KB

The method of orthogonal collocation on finite elements is described for solution of ordinary and partial differential equations. Benefits and limitations of the method are outlined by comparison with Galerkin finite element methods. Practical difficulties are given which arise in the application