Mixed Finite Element Analysis for an Elliptic/Mixed Elliptic Interface Problem with Jump Coefficients | Zendy

Rihui Lan | Zendy; Pengtao Sun | Zendy; Mo Mu | Zendy

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Mixed Finite Element Analysis for an Elliptic/Mixed Elliptic Interface Problem with Jump Coefficients

Author(s) -

Rihui Lan,

Pengtao Sun,

Mo Mu

Publication year - 2017

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2017.05.001

Subject(s) - finite element method , jump , convergence (economics) , interface (matter) , computer science , elliptic curve , mathematics , mixed finite element method , mathematical analysis , physics , parallel computing , thermodynamics , bubble , quantum mechanics , maximum bubble pressure method , economics , economic growth

In this paper a type of elliptic interface problem with jump coefficients is studied by being reformulated to a mixture of elliptic/mixed elliptic interface problem, which is analogous to the steady state fluid-structure interaction problem to some extent. A mixture of standard- and mixed finite element method is developed for the presented elliptic interface problem, and its well-posedness and convergence theories are analyzed and validated by numerical experiments.

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