Person:
Pinelli, Alfredo

Profile Picture
First Name
Alfredo
Last Name
Pinelli
URI
https://hdl.handle.net/20.500.14352/82243
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Area
Matemática Aplicada
Identifiers
UCM identifierDialnet ID

Filters

19961
Reset filters

Settings

Start date: 1990 × End date: 1999 × Subject: 51 ×

Search Results

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    An efficient iterative solution method for the Chebyshev collocation of advection-dominated transport problems
    (SIAM journal on scientific computing, 1996) Pinelli, Alfredo; Couzy, W.; Deville, M. O.; Benocci, C.
    A new Chebyshev collocation algorithm is proposed for the iterative solution of advection-diffusion problems. The main features of the method lie in the original way in which a finite-difference preconditioner is built and in the fact that the solution is collocated on a set of nodes matching the standard Gauss-Lobatto-Chebyshev set only in the case of pure diffusion problems. The key point of the algorithm is the capability of the preconditioner to represent the high-frequency modes when dealing with advection-dominated problems. The basic idea is developed for a one-dimensional case and is extended to two-dimensional problems. A series of numerical experiments is carried out to demonstrate the efficiency of the algorithm. The proposed algorithm can also be used in the context of the incompressible Navier-Stokes equations.