The identification of the boundary geometry with corner points in inverse two-dimensional potential problems

• Autorzy: Zieniuk E. , Gabrel W.
• Języki publikacji: EN

Abstrakty

EN

The paper presents fragment of a larger study concerning the effective methods of solving the inverse boundary value problems. The boundary value problem described here is formulated as a problem of the identification of a boundary geometry with corner points. A method using a parametric integral equations system (PIES) is proposed. PIES used in the method makes the easy modelling of the geometry with corner points possible. This effect is obtained by the application of modified splines. An evolution algorithm is used for the effective control of modifications of the boundary geometry. Some experimental tests of the efficiency of the discussed method were performed for two-dimensional inverse potential problems.

Słowa kluczowe

EN

inverse boundary value problem; boundary geometry identification; geometry; parametric integral equation system; finite element method; boundary element method; evolution algorithm; genetic algorithms

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2002
• Tom: Vol. 6, No 4
• Strony: 651--660
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Zieniuk E.

• Department of Mathematics and Physics, Institute of Cmputer Science, University of Bialystok, Sosnowa 64, 15-887 Bialystok, Poland

autor

Gabrel W.

• Department of Mathematics and Physics, Institute of Cmputer Science, University of Bialystok, Sosnowa 64, 15-887 Bialystok, Poland

Bibliografia

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• [2] Brebbia C A, Telles J C F and Wrobel L C 1984 Boudary Element Techniques, Theory and Apliccations in Engineering, Springer-Verlag, New-York
• [3] Beck J V, Blackwell B and St. Clair Jr C R 1985 Inverse Heat Condution: Ill-posed Problems, Wiley-Interscience, New-York
• [4] Tikhonov A N and Arsenin V Y 1977 Solution of Ill-posed Problems, Winston-Wiley, New York
• [5] Gabrel W and Zieniuk E 2000 7th Scientific Workshops of PTSK, Simulation in Research and Development, Zakopane, Poland, pp. 51-60 (in Polish)
• [6] Gabrel W, Zieniuk E and Sutyniec A 2000 4th Conf. Evolution Algorithms and Global Optimization, Ladek Zdroj, Poland, pp. 75-82 (in Polish)
• [7] Zieniuk E 2001 8th Scientific Workshops of PTSK, Simulation in Research and Development, Gdansk Sobieszewo, Poland, pp. 444-450 (in Polish)
• [8] Zieniuk E and Gabrel W 2000 7th Scientific Workshops of PTSK, Simulation in Research and Development, Zakopane, Poland, pp. 297-303 (in Polish)
• [9] Goldberg D E 1989 Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley Publishing Company, Massachusetts
• [10] Michalewicz Z 1996 Genetic Algorithms + Data Structures = Evolution Programs, Springer-Verlag, Berlin, Heidelberg