Abstract
We present a method to factorize a second order elliptic boundary value problem in a circular domain, in a system of uncoupled first order initial value problems. We use a space invariant embedding technique along the radius of the circle, in both an increasing and a decreasing way. This technique is inspired in the temporal invariant embedding used by J.-L. Lions for the control of parabolic systems. The singularity at the origin for the initial value problems is studied.
Funding provided by FCT and FSE, Praxis XXI, BD/21443/99
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© 2005 International Federation for Information Processing
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Henry, J., Louro, B., Soares, M.C. (2005). Factorization by Invariant Embedding of Elliptic Problems in a Circular Domain. In: Cagnol, J., Zolésio, JP. (eds) System Modeling and Optimization. CSMO 2003. IFIP International Federation for Information Processing, vol 166. Springer, Boston, MA. https://doi.org/10.1007/0-387-23467-5_10
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DOI: https://doi.org/10.1007/0-387-23467-5_10
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4020-7760-9
Online ISBN: 978-0-387-23467-0
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