- Tytuł:
- nu-spline curves for boundary geometry modeling in two-dimensional potential boundary value problems with singular corner points
- Autorzy:
- Zieniuk, E.
- Powiązania:
- https://bibliotekanauki.pl/articles/1931590.pdf
- Data publikacji:
- 2002
- Wydawca:
- Politechnika Gdańska
- Tematy:
-
parametric integral equation system
boundary integral equation
potential problem
nu-spline - Opis:
- The paper presents a new modeling method of boundary geometry in boundary value-problems by nu-spline curves. To define a smooth boundary geometry both Bezier and B-spline curves are applied. At the segment join points Bezier curves ensure continuity C1, and B-spline curves allow us to maintain continuity C2. However, the curves hinder boundary modeling with corner points. In order to weaken the continuity at segment join points nu-spline curves are proposed. These curves are combined analytically with the Green formula, thus yielding the Parametric Integral Equation System (PIES). To solve the PIES a pseudospectral method is used. The results obtained for the domains with singular corner points are compared with the corresponding non-singular ones as defined by the nu-spline curves.
- Źródło:
-
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2002, 6, 4; 641-650
1428-6394 - Pojawia się w:
- TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
- Dostawca treści:
- Biblioteka Nauki
Artykuł