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Dirichlet’s problem on a cracked trapezium


Ouigou Michel Zongo
Sié Kam
Moussa Sougoti
Sosthène Tassembedo
Kounhinir Somé
Alioune Ouédraogo
Dieudonné Joseph Bathiébo

Abstract

This paper deals with solving Poisson’s equation with conditions on Dirichlet’s limits in an isosceles trapezium with two cracks. The large singular finite elements method used gives satisfactory results in all the domain of study. Numerical values obtained are very accurate for the constraint function and its first derivatives except at the ends of cracks where major changes were registered.

Keywords: Large elements, finite elements, singularities, cracks


Journal Identifiers


eISSN: 2992-4464
print ISSN: 1118-0579