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Coupling method for the exterior stationary Navier–Stokes equations
Author(s) -
Kaitai Li,
Yinnian He
Publication year - 1993
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/num.1690090105
Subject(s) - mathematics , coupling (piping) , convergence (economics) , finite element method , domain (mathematical analysis) , mathematical analysis , navier–stokes equations , boundary (topology) , boundary element method , boundary value problem , mechanics , physics , compressibility , mechanical engineering , engineering , economics , thermodynamics , economic growth
We represent a new numerical method to solve the stationary Navier–Stokes equations in an unbounded domain. This technique consists in coupling the boundary integral and finite element methods. Moreover, we derive the variational formulation and well‐posedness of the coupling method and provide the convergence result for the approximate solution. © 1993 John Wiley & Sons, Inc.