- Tytuł:
- Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs
- Autorzy:
- Akbari, H.
- Powiązania:
- https://bibliotekanauki.pl/articles/330950.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
general stationary elliptic BVPs
Robin boundary condition
orthogonal Coifman wavelets
trivariate connection coefficients
fast convergence - Opis:
- We consider a general elliptic Robin boundary value problem. Using orthogonal Coifman wavelets (Coiflets) as basis functions in the Galerkin method, we prove that the rate of convergence of an approximate solution to the exact one is O(2-nN) in the H1 norm, where n is the level of approximation and N is the Coiflet degree. The Galerkin method needs to evaluate a lot of complicated integrals. We present a structured approach for fast and effective evaluation of these integrals via trivariate connection coefficients. Due to the fast convergence rate, very good approximations are found at low levels and with low Coiflet degrees, hence the size of corresponding linear systems is small. Numerical experiments confirm these claims.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 17-27
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł