CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

Multi-adaptive Galerkin methods for ODEs I

Anders Logg (Institutionen för beräkningsmatematik)
SIAM Journal on Scientific Computing (1064-8275). Vol. 24 (2003), 6, p. 1879-1902.
[Artikel, refereegranskad vetenskaplig]

We present multi-adaptive versions of the standard continuous and discontinuous Galerkin methods for ODEs. Taking adaptivity one step further, we allow for individual time-steps, order and quadrature, so that in particular each individual component has its own time-step sequence. This paper contains a description of the methods, an analysis of their basic properties, and a posteriori error analysis. In the accompanying paper [A. Logg, SIAM J. Sci. Comput., submitted], we present adaptive algorithms for time-stepping and global error control based on the results of the current paper.

Nyckelord: Adaptivity , Continuous Galerkin , Discontinuous Galerkin , Global error control , Individual time-steps , Local time-steps , McG(q) , MdG(q) , Multi-adaptivity , ODE

Denna post skapades 2013-12-30. Senast ändrad 2014-09-29.
CPL Pubid: 190772


Läs direkt!

Länk till annan sajt (kan kräva inloggning)

Institutioner (Chalmers)

Institutionen för beräkningsmatematik (2002-2004)



Chalmers infrastruktur