Multi-adaptive Galerkin methods for ODEs II: Implementation and applications
Journal article, 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
Author
Anders Logg
University of Gothenburg
Chalmers, Department of Computational Mathematics
SIAM Journal of Scientific Computing
1064-8275 (ISSN) 1095-7197 (eISSN)
Vol. 25 4 1119-1141Subject Categories
Computational Mathematics
DOI
10.1137/S1064827501389734