Multi-Adaptive Galerkin Methods for ODEs II: Implementation and Applications

Abstract

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.

References in corpus (1)

• Explicit Time-Stepping for Stiff ODEs

Cited by in corpus (6)

• Automating the Finite Element Method
• Explicit Time-Stepping for Stiff ODEs
• An Adaptive Finite Element Splitting Method for the Incompressible Navier-Stokes Equations
• Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates
• Algorithms and Data Structures for Multi-Adaptive Time-Stepping
• Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations