Explicit H^1-Estimate for the solution of the Lamé system with mixed boundary conditions

Abstract : In this paper we consider Lamé's system of equations on a polygonal domain with mixed boundary conditions of Dirichlet-Neumann type. An explicit L^2 norm estimate for the gradient of the solution of this problem is established. This leads to an explicit bound of the H^1 norm of this solution. Note that the obtained bounds are not optimal .
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Contributor : Djamel Ait Akli <>
Submitted on : Wednesday, August 14, 2019 - 7:57:46 AM
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Djamel Ait Akli, Abdelkader Merakeb. Explicit H^1-Estimate for the solution of the Lamé system with mixed boundary conditions. 2019. ⟨hal-01992510v8⟩

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