Introduction
Time-stepping and pseudo-time-stepping methods are among the oldestmethods for the iterative solution of partial differential equations (PDEs). In particular, stationary PDEs are considered as stationary states of a dynamical system past its transient phase. This point of view is most prominent in computation of stationary flow fields, where also the transient phase has a physical interpretation. Furthermore, this approach has the flexibility of producing interpretable results, even if the stationary equation does not possess a solution.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Hazra, S.B. (2010). Simultaneous Pseudo-Time-Stepping for PDE-Model Based Optimization Problems. In: Large-Scale PDE-Constrained Optimization in Applications. Lecture Notes in Applied and Computational Mechanics, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01502-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-01502-1_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01501-4
Online ISBN: 978-3-642-01502-1
eBook Packages: EngineeringEngineering (R0)