Factorization by Invariant Embedding of a Boundary Value Problem for the Laplace Operator

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Abstract

This work concerns the factorization of a second order elliptic boundary value problem defined in a star-shaped bounded regular domain, in a system of uncoupled first order initial value problems, using the technique of invariant embedding. The family of domains is defined by a homothety. The method yields an equivalent formulation to the initial boundary value problem by a system of two uncoupled Cauchy problems. The singularity at the origin of the homothety is studied.
Original languageUnknown
Title of host publicationIFIP Advances in Information and Communication Technology
EditorsA Korytowski, K Malanowski, W Mitkowski, M Szymkat
Place of PublicationHEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY
PublisherSPRINGER-VERLAG BERLIN
Pages282-292
Volume312
ISBN (Print)978-3-642-04801-2
DOIs
Publication statusPublished - 1 Jan 2009
Event23rd IFIP International Conference on System Modelling and Optimization -
Duration: 1 Jan 2007 → …

Conference

Conference23rd IFIP International Conference on System Modelling and Optimization
Period1/01/07 → …

Cite this

Soares, M. D. C. C., & Louro, B. J. C. M. (2009). Factorization by Invariant Embedding of a Boundary Value Problem for the Laplace Operator. In A. Korytowski, K. Malanowski, W. Mitkowski, & M. Szymkat (Eds.), IFIP Advances in Information and Communication Technology (Vol. 312, pp. 282-292). HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY: SPRINGER-VERLAG BERLIN. https://doi.org/10.1007/978-3-642-04802-9_15