- Tytuł:
- The effect of multigrid parameters in a 3D heat diffusion equation
- Autorzy:
-
de Oliveira, F.
Franco, S. R.
Villela Pinto, M. A. - Tematy:
-
metoda różnic skończonych
metoda Gaussa-Seidela
dyfuzja ciepła
multigrid
finite differences
Poisson 3D
solvers
parameters - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Powiązania:
- https://bibliotekanauki.pl/articles/264346.pdf Link otwiera się w nowym oknie
- Opis:
- The aim of this paper is to reduce the necessary CPU time to solve the three-dimensional heat diffusion equation using Dirichlet boundary conditions. The finite difference method (FDM) is used to discretize the differential equations with a second-order accuracy central difference scheme (CDS). The algebraic equations systems are solved using the lexicographical and red-black Gauss-Seidel methods, associated with the geometric multigrid method with a correction scheme (CS) and V-cycle. Comparisons are made between two types of restriction: injection and full weighting. The used prolongation process is the trilinear interpolation. This work is concerned with the study of the influence of the smoothing value (v), number of mesh levels (L) and number of unknowns (N) on the CPU time, as well as the analysis of algorithm complexity.
- Dostawca treści:
- Biblioteka Nauki
Artykuł