1. |
- Asadzadeh, Mohammad, 1952, et al.
(author)
-
A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem
- 2010
-
In: Inverse Problems. - : IOP Publishing. - 0266-5611 .- 1361-6420. ; 26:11
-
Journal article (peer-reviewed)abstract
- This study concerns a posteriori error estimates in a globally convergent numerical method for a hyperbolic coefficient inverse problem. Using the Laplace transform the model problem is reduced to a nonlinear elliptic equation with a gradient dependent nonlinearity. We investigate the behavior of the nonlinear term in both a priori and a posteriori settings and derive optimal a posteriori error estimates for a finite-element approximation of this problem. Numerical experiments justify the efficiency of a posteriori estimates in the globally convergent approach.
|
|