High-order accurate time-stepping schemes for convection-diffusion problems
Author (s): Donéa, J., Roig, B. and Huerta, A.Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 182, Issues 3, 4
Pages: 249 - 275
Date: 2000
Abstract:
The paper discusses the formulation of high-order accurate time-stepping schemes for transient convection-diffusion problems to be combined with finite element methods of the least-squares type for a stable discretization of highly convective problems. Padé approximations of the exponential function are considered for deriving multi-stage time integration schemes involving first time derivatives only, thus easier to implement in conjunction with Cº finite elements than standard time-stepping schemes which incorporate higher order time derivatives. After a brief discussion of the stability and accuracy properties of the multi-stage Padé schemes and having underlined the similarity between Padé and Runge-Kutta methods, the paper closes with the presentation of illustrative examples which indicate the effectiveness of the proposed methods.
Bibtex:
@article{2000-CMAME-DRH,
Author = {Jean Donea and Bernardino Roig and Antonio Huerta},
Title = {High-order accurate time-stepping schemes for convection-diffusion problems},
Fjournal = {Computer Methods in Applied Mechanics and Engineering},
Journal = {Comput. Methods Appl. Mech. Eng.},
Volume = {182},
Number = {3--4},
Pages = {249--275},
Year = {2000}}
