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Title: Error Estimates for the Coupling of Analytical and Numerical Solutions
Author: Legatiuk, Dmitry
Gürlebeck, Klaus
Kähler, Uwe
Keywords: Error estimation
Analytical solution
Kolosov–Muskhelishvili formulae
Issue Date: Jun-2017
Publisher: Birkhaeuser
Abstract: In this paper we present error estimates for a continuous coupling of an analytical and a numerical solution for a boundary value problem with a singularity. A solution of the Lamé–Navier equation with a singularity caused by a crack is considered as an example. The analytical solution near a singularity is constructed by using complex function theory and coupled continuously with the finite element solution. The objective of this paper is to estimate the coupling error, which cannot be covered by the classical theory of the finite element method.
Peer review: yes
DOI: 10.1007/s11785-016-0583-y
ISSN: 1661-8262
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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