An alternative proof of a strip estimate for first-order system least-squares for interface problems

Fleurianne Bertrand*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

The purpose of this paper is an alternative proof of a strip estimate, used in Least-Squares methods for interface problems, as in [4] for a two-phase flow problem with incompressible flow in the subdomains. The Stokes flow problems in the subdomains are treated as first-order systems and a combination of H(div) -conforming Raviart-Thomas and standard H1 -conforming elements were used for the discretization. The interface condition is built directly in the H(div) -conforming space. Using the strip estimate, the homogeneous Least-Squares functional is shown to be equivalent to an appropriate norm allowing the use of standard finite element approximation estimates.

Original languageEnglish
Title of host publicationLarge-Scale Scientific Computing
Subtitle of host publication11th International Conference, LSSC 2017, Sozopol, Bulgaria, June 5-9, 2017, Revised Selected Papers
EditorsIvan Lirkov, Svetozar Margenov
Place of PublicationCham
PublisherSpringer
Pages95-102
Number of pages8
ISBN (Electronic)978-3-319-73441-5
ISBN (Print)978-3-319-73440-8
DOIs
Publication statusPublished - 2018
Externally publishedYes
Event11th International Conference on Large-Scale Scientific Computations, LSSC 2017 - Sozopol, Bulgaria
Duration: 11 Sep 201715 Sep 2017
Conference number: 11

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume10665
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Conference on Large-Scale Scientific Computations, LSSC 2017
Abbreviated titleLSSC 2017
CountryBulgaria
CitySozopol
Period11/09/1715/09/17

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