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On least‐squares approximations to compressible flow problems
Author(s) -
Chen TsuFen
Publication year - 1986
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.1690020305
Subject(s) - mathematics , piecewise , finite element method , flow (mathematics) , least squares function approximation , compressibility , polynomial , cylinder , piecewise linear function , compressible flow , moving least squares , shock (circulatory) , mathematical analysis , mathematical optimization , geometry , mechanics , medicine , statistics , physics , estimator , thermodynamics
A direct finite‐element method for computer solutions of compressible potential flow problems is presented. An analysis of least‐squares approximation is given, including optimal order estimates for piecewise polynomial approximation spaces. The model problem considered is that of potential flow past a cylinder. Numerical results for the model problem are given for a shock‐free subsonic case.