Shape sensitivity analysis : implicit approach using boundary element method

• Autorzy: Majchrzak, E. , Freus, K. , Freus, S.
• Języki publikacji: EN

Abstrakty

EN

The Laplace equation (2D problem) supplemented by boundary conditions is analyzed. To estimate the changes of temperature in the 2D domain due to the change of local geometry of the boundary, the implicit method of sensitivity analysis is used. In the final part of the paper, the example of numerical computations is shown.

Słowa kluczowe

PL

metoda elementów brzegowych; równanie Laplace'a; analiza czułości; obliczenia numeryczne

EN

boundary element method; Laplace equation; sensitivity analysis; numerical computations

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 1
• Strony: 151-161
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Majchrzak, E.

autor

Freus, K.

autor

Freus, S.

• Department for Strength of Materials and Computational Mechanics Silesian University of Technology, Poland,

Bibliografia

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• [2] Szopa R., Sensitivity analysis and inverse problems in the thermal theory of foundry, Publ. of Czest. Univ. of Techn., Monographs, 124, Czestochowa 2006.
• [3] Mochnacki B., Szopa R., Application of sensitivity analysis in numerical simulation of solidification process, [in:] J. Szajnar, Postępy teorii i praktyki odlewniczej, PAN, Komisja Odlewnictwa 2009, 271-286.
• [4] Mochnacki B., Metelski A., Identification of internal heat source capacity in the heterogeneous domain, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 182-187.
• [5] Szopa R., Siedlecki J., Wojciechowska W., Second order sensitivity analysis of heat conduction problems, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 255-263.
• [6] Burczyński T., Sensitivity analysis, optimization and inverse problems, [in:] Boundary Element Advances in Solid Mechanics, Springer-Verlag, Wien, New York 2004, 245-307.
• [7] Brebbia C.A., Domingues J., Boundary Elements, an Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
• [8] Majchrzak E., Boundary element method in heat transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001 (in Polish).
• [9] Majchrzak E., Dziewoński M., Freus S., Application of boundary element method to shape sensitivity analysis, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 137-146.
• [10] Majchrzak E., Kałuża G., Explicit and implicit approach of sensitivity analysis in numerical modeling of solidification, Archives of Foundry Engineering 2008, 8, 1, 187-192.