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

Maria do Céu Cerqueira Soares; Bento José Carrilho Miguens Louro

doi:10.1007/978-3-642-04802-9_15

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

Maria do Céu Cerqueira Soares, Bento José Carrilho Miguens Louro

DM - Departamento de Matemática

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

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 language	Unknown
Title of host publication	IFIP Advances in Information and Communication Technology
Editors	A Korytowski, K Malanowski, W Mitkowski, M Szymkat
Place of Publication	HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY
Publisher	SPRINGER-VERLAG BERLIN
Pages	282-292
Volume	312
ISBN (Print)	978-3-642-04801-2
DOIs	https://doi.org/10.1007/978-3-642-04802-9_15
Publication status	Published - 1 Jan 2009
Event	23rd IFIP International Conference on System Modelling and Optimization - Duration: 1 Jan 2007 → …

Conference

Conference	23rd IFIP International Conference on System Modelling and Optimization
Period	1/01/07 → …

Access to Document

10.1007/978-3-642-04802-9_15

Cite this

Soares, Maria do Céu Cerqueira ; Louro, Bento José Carrilho Miguens. / Factorization by Invariant Embedding of a Boundary Value Problem for the Laplace Operator. IFIP Advances in Information and Communication Technology. editor / A Korytowski ; K Malanowski ; W Mitkowski ; M Szymkat. Vol. 312 HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY : SPRINGER-VERLAG BERLIN, 2009. pp. 282-292

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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.",

author = "Soares, {Maria do C{\'e}u Cerqueira} and Louro, {Bento Jos{\'e} Carrilho Miguens}",

note = "23rd IFIP International Conference on System Modelling and Optimization, Cracow, POLAND, JUL 23-27, 2007; 23rd IFIP International Conference on System Modelling and Optimization ; Conference date: 01-01-2007",

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Soares, MDCC & Louro, BJCM 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, SPRINGER-VERLAG BERLIN, HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY, pp. 282-292, 23rd IFIP International Conference on System Modelling and Optimization, 1/01/07. https://doi.org/10.1007/978-3-642-04802-9_15

Factorization by Invariant Embedding of a Boundary Value Problem for the Laplace Operator. / Soares, Maria do Céu Cerqueira ; Louro, Bento José Carrilho Miguens.
IFIP Advances in Information and Communication Technology. ed. / A Korytowski; K Malanowski; W Mitkowski; M Szymkat. Vol. 312 HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY: SPRINGER-VERLAG BERLIN, 2009. p. 282-292.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Louro, Bento José Carrilho Miguens

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Y1 - 2009/1/1

N2 - 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.

AB - 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.

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BT - IFIP Advances in Information and Communication Technology

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