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A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance
parabolic inverse problem unknown boundary and impedance Analysis of PDEs
2011/9/21
Abstract: We consider the problem of determining an unaccessible part of the boundary of a conductor by mean of thermal measurements. We study a problem of corrosion where a Robin type condition is pr...
Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension
Incompatible Initial Boundary Data
2010/11/24
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one,...
Analytical solutions for the surface response to small amplitude perturbations in boundary data in the shallow-ice-stream approximation
Analytical solutions surface response amplitude perturbations boundary data
2010/2/4
New analytical solutions describing the effects of small-amplitude perturbations in boundary data on flow in the shallow-ice-stream approximation are presented. These solutions are valid for a non-lin...