Tau approximation techniques for identification of coefficients in parabolic PDEA variant of the Tau method, called the weak Tau method, is developed on the basis of the weak form of the PDE for use in least-squares parameter estimation; also presented is a suitable abstract convergence framework. The emphasis is on the theoretical framework that allows treatment of the weak Tau method when it is applied to a wide class of inverse problems, including those for diffusion-advection equations, the Fokker-Planck model for population dynamics, and damped beam equations. Extensive numerical testing of the weak Tau method has demonstrated that it compares quite favorably with existing methods.
Document ID
19900053770
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Banks, H. T. (Brown University Providence, RI, United States)
Wade, J. G. (Southern California, University Los Angeles, CA, United States)