Estimation of discontinuous parameters in linear elliptic equations by a regularized inverse problem
To calculate the parameters k in a stationary model Aku=ffrom measurements yˆof the solution u, i.e. to solve the inverse problem, usually a regularized minimization problem is solved and its solution kˆis considered as estimate of the true parameters. We focus on a situation which occurs e.g. for t...
Main Authors: | Jochen Merker, Aleš Matas |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2022-06-01
|
Series: | Partial Differential Equations in Applied Mathematics |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S266681812200064X |
Similar Items
-
Existence of solutions to nonlocal elliptic equations with discontinuous terms
by: Francisco Julio S. A. Correa, et al.
Published: (2012-02-01) -
A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian
by: Mohamed Benalili, et al.
Published: (2003-10-01) -
On the character of nonlinearity discontinuities in eigenvalue problems for elliptic equations
by: Dmitriy K Potapov
Published: (2012-09-01) -
On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities
by: Dmitriy K Potapov
Published: (2012-03-01) -
Singular Integral Neumann Boundary Conditions for Semilinear Elliptic PDEs
by: Praveen Agarwal, et al.
Published: (2021-04-01)