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Least-squares mixed finite element methods for the RLW equations. (English) Zbl 1143.65077
Summary: A least-squares mixed finite element (LSMFE) scheme is formulated to solve the 1D regularized long wave (RLW) equation and the convergence is discussed. $$L^{2}$$ error estimates of the LSMFE method for the RLW equation under the standard regularity assumption on the finite element partition are given.

##### MSC:
 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 35L75 Higher-order nonlinear hyperbolic equations 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
error estimates
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