arXiv subjects

C. Tablino Possio

Publications and source records attributed to C. Tablino Possio.

2 recordsLinked to original sources

arXiv2008

A Note on Algebraic Multigrid Methods for the Discrete Weighted Laplacian

In recent contributions, algebraic multigrid methods have been designed and studied from the viewpoint of the spectral complementarity. In this note we focus our efforts on specific applications and, more precisely, on large linear systems arising from the approximation of weighted Laplacian with various boundary conditions. We adapt the multigrid idea to this specific setting and we present and critically discuss a wide numerical experimentation showing the potentiality of the considered approach.

math.NA↗

arXiv2007

V-cycle optimal convergence for DCT-III matrices

The paper analyzes a two-grid and a multigrid method for matrices belonging to the DCT-III algebra and generated by a polynomial symbol. The aim is to prove that the convergence rate of the considered multigrid method (V-cycle) is constant independent of the size of the given matrix. Numerical examples from differential and integral equations are considered to illustrate the claimed convergence properties.

math.NA↗