A posteriorierror estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem

M Asadzadeh, L Beilina
2010 Inverse Problems  
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
more » ... s justify the efficiency of a posteriori estimates in the globally convergent approach.
doi:10.1088/0266-5611/26/11/115007 fatcat:2zebzexpwbfbdgngsgxxenbsw4