Lite Mat finns ven som dvi-fil . The weak formulation of this system leads to a saddle point problem which is subject to the inf-sup condition. The inf-sup condition poses restrictions on finite element spaces when finite element method is employed and leads to indefinite algebraic systems. We introduce three possible least-squares functionals for the system of first order. Subject to some regularity conditions their minimization recovers the solution.
All formulations lead to finite element systems with symmetric and positive definite matrices.
We discuss briefly the merits and the deficiencies of the three least squares formulations. The main objective of the talk is to describe and to analyze the formulation based on a discrete minus one inner product. H gre statistikseminariet g stas av bitr. Kasra Afsarinejad, G teborgs universitet. Some recent developments of design of experiments together with several interesting examples would be presented.