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On the accuracy of least‐squares finite elements for a first‐order conservation equation
Author(s) -
Wilders P.
Publication year - 1988
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650080807
Subject(s) - quadrilateral , mathematics , finite element method , conservation law , mathematical analysis , least squares function approximation , bilinear interpolation , order (exchange) , order of accuracy , numerical analysis , physics , numerical stability , statistics , finance , estimator , economics , thermodynamics
The numerical solution of a single first‐order conservation equation by a least‐squares finite element method is considered. Isoparametric bilinear quadrilateral elements are used. The accuracy is studied numerically and it is shown that the discrete equations associated with nodal points on the boundaries should be modified in order to obtain an accurate numerical solution.