Wathen, A. J.; Baines, M. J. On the structure of the moving finite-element equations. (English) Zbl 0583.65080 IMA J. Numer. Anal. 5, 161-182 (1985). The authors study the so-called moving finite-element method. This method approximates time-dependent partial differential equations by a nonlinear coupled system of ordinary differential equations with a coefficient matrix for the time derivatives. Constructions for the inversion of this matrix are presented and applications to systems of equations are given. Reviewer: P.-L.Lions Cited in 7 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 35K55 Nonlinear parabolic equations 34A34 Nonlinear ordinary differential equations and systems Keywords:coupled non-linear system; conjugate gradient methods; moving finite- element method PDFBibTeX XMLCite \textit{A. J. Wathen} and \textit{M. J. Baines}, IMA J. Numer. Anal. 5, 161--182 (1985; Zbl 0583.65080) Full Text: DOI