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A finite element scheme for domains with corners (1972)

Babuška, Ivo ; Rosenzweig, Michael B.

Springer

Numerische Mathematik 20 (1972), S. 1-21

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ISSN: 0945-3245

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract This paper is concerned with the rate of convergence of the finite element method on polygonal domains in weighted Sobolev spaces. It is shown that the use of different spaces of trial and test functions will restrict the usual low rate of convergence to a neighborhood of each vertex of the polygonal domain.L 2-convergence and lower bounds on the error are also studied.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01436639

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