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The coupling of boundary integral and finite element methods for the nonstationary exterior flow
Author(s) -
Yinnian He,
Kaitai Li
Publication year - 1998
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199809)14:5<549::aid-num1>3.0.co;2-i
Subject(s) - convergence (economics) , finite element method , mathematics , coupling (piping) , partial differential equation , domain (mathematical analysis) , boundary (topology) , mathematical analysis , boundary element method , flow (mathematics) , boundary value problem , boundary knot method , geometry , physics , mechanical engineering , engineering , economics , thermodynamics , economic growth
In this article, we represent a new numerical method for solving the nonstationary Navier–Stokes equations in an unbounded domain. The technique consists of coupling the boundary integral and the finite element method. The variational formulation and the well‐posedness of the coupling method are obtained. The convergence and optimal error estimates for the approximate solution are provided. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 549–565, 1998