A primal dual mixed finite element method for inverse identification of the diffusion coefficient and its relation to the Kohn-Vogelius penalty method

A primal dual mixed finite element method for inverse identification of the diffusion coefficient and its relation to the Kohn-Vogelius penalty method

We revisit the celebrated Kohn-Vogelius penalty method and discuss how to use it for the unique continuation problem where data is given in the bulk of the domain. We then show that the primal-dual mixed finite element methods for the elliptic Cauchy problem introduced in [1] (E. Burman, M. Larson,...

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Bibliographic Details
Main Author: Erik Burman
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2023-06-01
Series:Selecciones Matemáticas
Subjects:
unique continuation
mixed finite element method
stability
Online Access:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5279

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