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Least‐squares mixed finite element methods for the RLW equations
Author(s) -
Gu Haiming,
Chen Ning
Publication year - 2008
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.20285
Subject(s) - mathematics , finite element method , mixed finite element method , partition of unity , convergence (economics) , partition (number theory) , extended finite element method , least squares function approximation , mathematical analysis , combinatorics , statistics , structural engineering , estimator , engineering , economics , economic growth
A least‐squares mixed finite element (LSMFE) schemes are formulated to solve the 1D regularized long wave (RLW) equations and the convergence is discussed. The L 2 error estimates of LSMFE methods for RLW equations under the standard regularity assumption on the finite element partition are given.© 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008