COUPLING BOUNDARY ELEMENT METHOD WITH LEVEL SET METHOD TO SOLVE INVERSE PROBLEM

Tomasz Rymarczyk

tomasz.rymarczyk@netrix.com.pl
Netrix S.A., Research and Development Center (Poland)

Paweł Tchórzewski


Netrix S.A., Research and Development Center (Poland)

Jan Sikora


Lublin University of Technology, Institute of Electronics and Information Technology; Electrotechnical Institute (Poland)

Abstract

The boundary element method and the level set method can be used in order to solve the inverse problem for electric field. In this approach the adjoint equation arises in each iteration step. Results of the numerical calculations show that the boundary element method can be applied successfully to obtain approximate solution of the adjoint equation. The proposed solution algorithm is initialized by using topological sensitivity analysis. Shape derivatives and material derivatives have been incorporated with the level set method to investigate shape optimization problems. The shape derivative measures the sensitivity of boundary perturbations. The coupled algorithm is a relatively new procedure to overcome this problem. Experimental results have demonstrated the efficiency of the proposed approach to achieve the solution of the inverse problem.


Keywords:

inverse problem, boundary element method, level set method

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Published
2017-03-03

Cited by

Rymarczyk, T. ., Tchórzewski, P., & Sikora, J. (2017). COUPLING BOUNDARY ELEMENT METHOD WITH LEVEL SET METHOD TO SOLVE INVERSE PROBLEM . Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 7(1), 80–83. https://doi.org/10.5604/01.3001.0010.4589

Authors

Tomasz Rymarczyk 
tomasz.rymarczyk@netrix.com.pl
Netrix S.A., Research and Development Center Poland

Authors

Paweł Tchórzewski 

Netrix S.A., Research and Development Center Poland

Authors

Jan Sikora 

Lublin University of Technology, Institute of Electronics and Information Technology; Electrotechnical Institute Poland

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