Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

Raymond, Jean-Pierre; Casas, Eduardo

doi:10.1137/050626600

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Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

Author(s): Eduardo Casas , Jean‐Pierre Raymond

Publication date Created: January 2006

Publication date (Print): January 2006

Journal: SIAM Journal on Control and Optimization

Publisher: Society for Industrial & Applied Mathematics (SIAM)

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Finite element interpolation of nonsmooth functions satisfying boundary conditions

L. Scott, Shangyou Zhang (1990)

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Is Open Access

Inverse Problem for a Curved Quantum Guide

Laure Cardoulis, Michel Cristofol (2016)

In this paper, we consider the Dirichlet Laplacian operator -{\Delta} on a curved quantum guide in R n (n = 2, 3) with an asymptotically straight reference curve. We give uniqueness results for the inverse problem associated to the reconstruction of the curvature by using either observations of spectral data or a boot-strapping method. keywords: Inverse Problem, Quantum Guide, Curvature