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Palabra: INVERSE PDE (Palabras)
2 registros cumplieron la condición especificada en la base de información BIBCYT. ()
Registro 1 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Kügler, Philipp
Título: A Parameter Identification Problem of Mixed Type Related to the Manufacture of Car Windshields
Páginas/Colación: pp. 858-877
Url: Ir a http://epubs.siam.org/sam-bin/dbq/article/42333http://epubs.siam.org/sam-bin/dbq/article/42333
SIAM Journal on Applied Mathematics Vol. 64, no. 3 March/April 2004
Información de existenciaInformación de existencia

Resumen
We study the identification of a parameter in a fourth-order elliptic partial differential equation that models the optimal design of car windshields to be manufactured by the sagging process. Considered as a second-order equation for the unknown parameter, the problem is of mixed type, i.e., changing between elliptic and hyperbolic. Numerical routines for directly solving this equation are not available. In this paper we both theoretically and numerically show that the inverse problem can instead be solved in a stable way by means of a (derivative free) iterative regularization method. The course of the iteration nevertheless depends markedly on the mixed type of the second-order equation. Key words. nonlinear parameter identification, iterative regularization, PDE of mixed type

Registro 2 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Jonsson, Elias
Título: Electrical Conductivity Reconstruction using Nonlocal Boundary Conditions
Páginas/Colación: pp. 1582-1598
Url: Ir a http://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000059000005001582000001&idtype=cvips&gifs=Yeshttp://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000059000005001582000001&idtype=cvips&gifs=Yes
SIAM Journal on Applied Mathematics Vol. 59, no. 5 May/Aug. 1999
Información de existenciaInformación de existencia

Palabras Claves: Palabras: FINITE ELEMENT METHODS FINITE ELEMENT METHODS
Descriptor Temático: Palabras: DIRICHLET TO NEUMAN MAPS DIRICHLET TO NEUMAN MAPS, Palabras: IMPEDANCE IMAGING IMPEDANCE IMAGING, Palabras: INVERSE PDE INVERSE PDE

Resumen
RESUMEN

RESUMEN

 

In this paper we study existence, uniqueness, and solution estimates to the mixed problem $\nabla\cdot\sigma\nabla u=0$ with Dirichlet to Neumann map boundary conditions and Neumann boundary conditions. We then show how this can be used in the reconstruction of $\sigma$, given the relationship between u and its normal derivative on the boundary portion where we do not apply the Dirichlet to Neumann map. A numerical reconstruction scheme is also derived.

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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