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The use of infinite grid refinements at singularities in the solution of Laplace's equation (1976)

Thatcher, R. W.

Springer

Numerische Mathematik 25 (1976), S. 163-178

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Details

ISSN: 0945-3245

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary The approximate solution of Laplace's equation using the finite element method is considered. Particular emphasis is given to problems in which there are boundary singularities and the use of infinite refinements in the grid of triangles in the neighbourhood of these singularities is analysed. A particular type of infinite grid refinement is proposed and some examples are given.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01462270

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Digitale Medien

The order of numercial quadrature in two dimensions (1979)

Thatcher, R. W.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 14 (1979), S. 1085-1089

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Details

ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: In this paper the order of certain two-dimensional quadrature formulae is discussed and it is shown that their degree and order are not related in the same simple way as they are for one-dimensional rules.

Zusätzliches Material: 4 Ill.