Book/Report/Master Thesis

FZJ-2018-05135

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Numerische Berechnung von elastischen Streuproblemen in 2D

Weger, A.-C. (Corresponding author)FZJ*

2018
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag Jülich

Please use a persistent id in citations: http://hdl.handle.net/2128/19673

Report No.: Juel-4413

Abstract: The master thesis deals with the numerical calculation of elastic scattering problemsin 2D using the boundary integral equation method. Elastic scattering problems, for example, play an important role in nondestructive material testing because they are useful for studying the internal structure of an object. The field of elastic waves scattered on the object can be used to draw conclusions about the condition of the object. In this thesis the boundary integral equation method with the resulting boundary integral equations and operators is described. Afterwards the discretization of the operators is explained and the integral algorithm of Beyn is introduced. The main part of the thesis is the calculation of the boundary integral operators for the static and dynamic case with special treatment of the diagonal element and their singularities. In this context, a singularity subtraction is performed and various integrals are determined as $\textit{Cauchy principle value}$ or $\textit{Hadamard finite part integral}$. The operators implemented in MATLAB are tested for various points in the considered domain and examined for convergence. In addition, the operators are used to determine the eigenvalues of elastic scattering problems or transmission problems using Beyn’s integral algorithm.

Note: Masterarbeit, FH Aachen Campus Jülich, 2018

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2018

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