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On the structure of the moving finite-element equations. (English) Zbl 0583.65080

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

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
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