Influence of the heat source location on the stability of the solution to the Cauchy problem
In this paper the solution to the Cauchy-type inverse problem for the Laplace’s equation is presented. A modified Tikhonov regularization was applied here. The regularization parameter was chosen using the Morozov principle. The relation between the location of the heat source (function singularity)...
Guardado en:
Autores principales: | , |
---|---|
Formato: | article |
Lenguaje: | EN FR |
Publicado: |
EDP Sciences
2021
|
Materias: | |
Acceso en línea: | https://doaj.org/article/a6aef3eabe0c407797afe9f120e8ffb0 |
Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Sumario: | In this paper the solution to the Cauchy-type inverse problem for the Laplace’s equation is presented. A modified Tikhonov regularization was applied here. The regularization parameter was chosen using the Morozov principle. The relation between the location of the heat source (function singularity) and the stability of the solution to the inverse problem was analyzed. Variable thermal loads in the area were simulated by changing the location of heat sources along two boundaries of the rectangle calculation domain. |
---|