## 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 H^{1} -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 language | English |
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Title of host publication | Large-Scale Scientific Computing |

Subtitle of host publication | 11th International Conference, LSSC 2017, Sozopol, Bulgaria, June 5-9, 2017, Revised Selected Papers |

Editors | Ivan Lirkov, Svetozar Margenov |

Place of Publication | Cham |

Publisher | Springer |

Pages | 95-102 |

Number of pages | 8 |

ISBN (Electronic) | 978-3-319-73441-5 |

ISBN (Print) | 978-3-319-73440-8 |

DOIs | |

Publication status | Published - 2018 |

Externally published | Yes |

Event | 11th International Conference on Large-Scale Scientific Computations, LSSC 2017 - Sozopol, Bulgaria Duration: 11 Sep 2017 → 15 Sep 2017 Conference number: 11 |

### Publication series

Name | Lecture Notes in Computer Science |
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Publisher | Springer |

Volume | 10665 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 11th International Conference on Large-Scale Scientific Computations, LSSC 2017 |
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Abbreviated title | LSSC 2017 |

Country | Bulgaria |

City | Sozopol |

Period | 11/09/17 → 15/09/17 |