Error estimate and regularity for the compressible Navier‐Stokes equations by Newton's method | Zendy

Kim Sang Dong | Zendy; Lee Yong Hun | Zendy

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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

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

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