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Superconvergence phenomena in nonlinear two‐point boundary‐value problems
Author(s) -
Chow S. S.,
Carey G. F.
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.1690090506
Subject(s) - superconvergence , mathematics , nonlinear system , boundary value problem , point (geometry) , class (philosophy) , mathematical analysis , finite element method , geometry , physics , artificial intelligence , computer science , quantum mechanics , thermodynamics
Superconvergence estimates are derived for a class of strongly nonlinear two‐point boundary‐value problems. The analysis considers solution and gradient superconvergence points as well as flux postprocessing formulas. Finally, the extension to parabolic problems is considered. © 1993 John Wiley & Sons, Inc.
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