SIAM Journal on Control and Optimization · 1987 · 27 citations · 4 references
EngineeringComputational EngineeringComputational Fluid DynamicsFinite Element AnalysisFinite Element MethodsBoundary ConditionsBoundary-value ProblemsDiffusion ApproximationFinite Element DiscretizationFinite Element FormulationNumerical StabilityBoundary ProblemElliptic Boundary-value ProblemsGalerkin ApproximationGalerkin DiscretizationIdentifiability CriteriaNumerical IdentifiabilityOutput IdentifiabilityTwo-point Boundary Value Problems
Necessary and sufficient conditions for identifiability of the diffusion coefficient in Galerkin approximations to a two point boundary value problem are derived for various choices of Galerkin subspaces. The results are further used to investigate output least squares identifiability and output least squares stability of the diffusion coefficient.
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