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Numerical solution of film vibration with obstacle. (English) Zbl 1122.35160
The authors develop and justify numerical method for the solution of film vibration with an obstacle, which is a hyperbolic problem of degenerate type. The numerical experiments show that this method gives reasonable results.

MSC:
35R35 Free boundary problems for PDEs
35L80 Degenerate hyperbolic equations
35L20 Initial-boundary value problems for second-order hyperbolic equations
49M25 Discrete approximations in optimal control
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