A factorization method for elliptic BVP

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageUnknown
Title of host publicationNA
Pages709-714
Publication statusPublished - 1 Jan 2012
EventCMMSE 2012: 12th International Conference on Computational and Mathematical Methods in Science and Engineering -
Duration: 1 Jan 2012 → …

Conference

ConferenceCMMSE 2012: 12th International Conference on Computational and Mathematical Methods in Science and Engineering
Period1/01/12 → …

Cite this

@inproceedings{8dd97fb277494e5293e0c92e80d41c32,
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 = "1",
day = "1",
language = "Unknown",
isbn = "978-84-615-5392-1",
pages = "709--714",
booktitle = "NA",

}

Louro, BJCM & Soares, MDCC 2012, A factorization method for elliptic BVP. in NA. pp. 709-714, CMMSE 2012: 12th International Conference on Computational and Mathematical Methods in Science and Engineering, 1/01/12.

A factorization method for elliptic BVP. / Louro, Bento José Carrilho Miguens; Soares, Maria do Céu Cerqueira.

NA. 2012. p. 709-714.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

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

ER -