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A penalty approach to the numerical simulation of a constrained wave motion

The main goal of this article is to investigate the numerical solution of a vector-valued nonlinear wave equation, the nonlinearity being of the Ginzburg–Landau type, namely (|u|2–1)u. This equation is obtained when treating by penalty a constrained wave-motion, where the displacement vector is of constant length (1 here, after rescaling)...

Keywords: Penalty approach, numerical simulation, constrainedwave motion

12/2003 | Journal of Numerical Mathematics, Walter de Gruyter