A factorization method for elliptic BVP

Bento José Carrilho Miguens Louro; Maria do Céu Cerqueira Soares

A factorization method for elliptic BVP

Bento José Carrilho Miguens Louro, Maria do Céu Cerqueira Soares

DM - Departamento de Matemática

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

Abstract

The technique of space invariant embedding, applied to a second order boundaryvalue problem defined in a cylindrical domain, gives rise to a system of uncoupled first order initial value problems that includes a non-linear Riccati equation on a unbounded functional operator. We present a method to justify this equation that uses a parabolic regularization of the original problem.

Original language	Unknown
Title of host publication	NA
Pages	709-714
Publication status	Published - 1 Jan 2012
Event	CMMSE 2012: 12th International Conference on Computational and Mathematical Methods in Science and Engineering - Duration: 1 Jan 2012 → …

Conference

Conference	CMMSE 2012: 12th International Conference on Computational and Mathematical Methods in Science and Engineering
Period	1/01/12 → …

Cite this

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title = "A factorization method for elliptic BVP",

abstract = "The technique of space invariant embedding, applied to a second order boundaryvalue problem defined in a cylindrical domain, gives rise to a system of uncoupled first order initial value problems that includes a non-linear Riccati equation on a unbounded functional operator. We present a method to justify this equation that uses a parabolic regularization of the original problem.",

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

year = "2012",

month = jan,

day = "1",

language = "Unknown",

isbn = "978-84-615-5392-1",

pages = "709--714",

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note = "CMMSE 2012: 12th International Conference on Computational and Mathematical Methods in Science and Engineering ; Conference date: 01-01-2012",

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T1 - A factorization method for elliptic BVP

AU - Louro, Bento José Carrilho Miguens

AU - Soares, Maria do Céu Cerqueira

PY - 2012/1/1

Y1 - 2012/1/1

N2 - The technique of space invariant embedding, applied to a second order boundaryvalue problem defined in a cylindrical domain, gives rise to a system of uncoupled first order initial value problems that includes a non-linear Riccati equation on a unbounded functional operator. We present a method to justify this equation that uses a parabolic regularization of the original problem.

AB - The technique of space invariant embedding, applied to a second order boundaryvalue problem defined in a cylindrical domain, gives rise to a system of uncoupled first order initial value problems that includes a non-linear Riccati equation on a unbounded functional operator. We present a method to justify this equation that uses a parabolic regularization of the original problem.

M3 - Conference contribution

SN - 978-84-615-5392-1

SP - 709

EP - 714

BT - NA

T2 - CMMSE 2012: 12th International Conference on Computational and Mathematical Methods in Science and Engineering

Y2 - 1 January 2012

ER -