Title :
A Numerical Method for Parabolic Inverse Problems
Author_Institution :
Dept. of Math., Tianjin Univ. of Finance & Econ., Tianjin, China
Abstract :
In this paper, a large class of parabolic inverse problem is transformed into a nonclassical parabolic equation whose coefficients consist of trace type functional of the solution and its derivatives are subject to some initial and boundary conditions. This nonclassical problem is approximated numerically by the finite element method, and the optimal convergence rate of order O(hr+1) is obtained for the r th-order finite elements.
Keywords :
finite element analysis; inverse problems; parabolic equations; boundary conditions; finite element method; initial conditions; nonclassical parabolic equation; numerical method; optimal convergence rate; parabolic inverse problems; trace type functional; Boundary conditions; Convergence of numerical methods; Differential equations; Finance; Finite difference methods; Finite element methods; Inverse problems; Mathematics; Temperature distribution; Thermal conductivity;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5364992
