 Mathematical analysis and simulation of fixed point formulation of Cauchy problem in linear elasticityAbdellatif Ellabib, Abdeljalil Nachaoui and Abdessamad Ousaadane Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 231-247 Abstract: In this work, an inverse problem in linear elasticity is considered, it is about reconstructing the unknown boundary conditions on a part of the boundary based on the other boundaries. A methodology based on the domain decomposition operating mode is opted by constructing a Steklov–Poincaré kind’s operator. This allows us to reformulate our inverse problem into a fixed point one involving a Steklov kind’s operator, the existence of the fixed point problem is shown using the topological degree of Leray–Schauder. The proposed approach offers the opportunity to exploit domain decomposition methods for solving this inverse problem. Finally, a numerical study of this problem using the boundary element method is presented. The obtained numerical results show the efficiency of the proposed approach. Keywords: Cauchy inverse problem; Elasticity equation; Steklov–Poincaré operator; Fixed point theory; Degree of Leray–Schauder; Boundary elements method (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:231-247 DOI: 10.1016/j.matcom.2021.02.020 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.