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Error estimate and regularity for the compressible Navier‐Stokes equations by Newton's method
Author(s) -
Kim Sang Dong,
Lee Yong Hun
Publication year - 2003
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.10061
Subject(s) - mathematics , discretization , compressibility , newton's method , finite element method , mathematical analysis , partial differential equation , iterative method , partial derivative , navier–stokes equations , nonlinear system , mathematical optimization , mechanics , physics , quantum mechanics , thermodynamics
Abstract The finite element discretization error estimate and H 1 regularity are shown for the solution generated by Newton's method to the stationary compressible Navier‐Stokes equations by interpreting Newton's method as an equivalent iterative method. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 511–524, 2003