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Article Contents

# Penalization approach to semi-linear symmetric hyperbolic problems with dissipative boundary conditions

• In this paper, we introduce a penalisation method in order to approximate the solutions of the initial boundary value problem for a semi-linear first order symmetric hyperbolic system, with dissipative boundary conditions. The penalization is carefully chosen in order that the convergence to the wished solution is sharp, does not generate any boundary layer, and applies to fictitious domains.
Mathematics Subject Classification: Primary: 35L50; Secondary: 65M99.

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