23/03/2017, 14:30 — 15:30 — Room P3.10, Mathematics Building
Nilson C. Roberty, Universidade Federal do Rio de Janeiro
Reconstruction of PDE coefficients with overprescripton of Cauchy data at the boundary
Frequently incomplete information about coefficients in partial differential equations is compensated by overprescribed Cauchy data on the boundary.
We analyse this kind of boundary value problems in an elliptic system in Lipschitz domains. Main techniques are variational formulation, boundary integral equations and the Calderon projector. To estimate those coefficients we propose a variational formulation based on internal discrepancy observed in the mixed boundary value problem, obtained by splitting the overprescribed Cauchy data. Some numerical experiments are presented.