Multi-adaptive Galerkin methods for ODEs II: Implementation and applications
Artikel i vetenskaplig tidskrift, 2003

Continuing the discussion of the multi-adaptive Galerkin methods mcG(q) and mdG(q) presented in [A. Logg, SIAM J. Sci. Comput., 24 (2003), pp. 1879-1902], we present adaptive algorithms for global error control, iterative solution methods for the discrete equations, features of the implementation Tanganyika, and computational results for a variety of ODEs. Examples include the Lorenz system, the solar system, and a number of time-dependent PDEs.

McG(q)

Multi-adaptivity

Applications

Adaptivity

Global error control

Individual time-steps

Discontinuous Galerkin

ODE

Lorenz

MdG(q)

Local time-steps

Continuous Galerkin

Solar system

Burger

Författare

Anders Logg

Göteborgs universitet

Chalmers, Institutionen för beräkningsmatematik

SIAM Journal of Scientific Computing

1064-8275 (ISSN) 1095-7197 (eISSN)

Vol. 25 1119-1141

Ämneskategorier

Beräkningsmatematik

DOI

10.1137/S1064827501389734