Temat: inverse geometry problem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Trefftz method for an inverse geometry problem in steady-state heat conduction
Autorzy:: Hożejowski, L.
Powiązania:: https://bibliotekanauki.pl/articles/122389.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: inverse geometry problem
boundary identification
Trefftz method
metoda Trefftza
Opis:: The paper addresses a boundary identification problem in two-dimensional steady-state heat conduction. The proposed approach based on the Trefftz method allows one to reconstruct the unknown part of a regular domain boundary from the given temperature measurements on it, provided that both the temperature and heat flux on the remaining part of the boundary are known. The reconstruction of an unknown boundary is done through successive approximations with a polynomial or a truncated Fourier series. The proposed solution method, whose merit lies in the avoidance of large systems of nonlinear equations, is fast converging, accurate and numerically stable, as demonstrated in the included numerical examples.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 41-52
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Trefftz method for polynomial-based boundary identification in two-dimensional Laplacian problems
Autorzy:: Hożejowski, L.
Powiązania:: https://bibliotekanauki.pl/articles/280415.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: inverse geometry problem
boundary identification
Trefftz method
Laplace equation
Opis:: The paper addresses a two-dimensional boundary identification (reconstruction) problem in steady-state heat conduction. Having found the solution to the Laplace equation by superpositioning T-complete functions, the unknown boundary of a plane region is approximated by polynomials of an increasing degree. The provided examples indicate that sufficient accuracy can be obtained with a use of polynomials of a relatively low degree, which allows avoidance of large systems of nonlinear equations. Numerical simulations for assessing the performance of the proposed algorithm show better than 1% accuracy after a few iterations and very low sensitivity to small data errors.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 3; 935-944
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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