- 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