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MultiDimensional Elliptic Applications
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adjoint adjoint method algorithm amplitude application assume boundary condition calorimeter CHF device coefficients computed condition number critical heat flux data set developed dimensionless domain function errors evaluate example filter strength finite difference finite element floppy disk forward problem Fourier series Fourier transform frequency domain function specification method functional form Gaussian filter governing equation Heat Conduction heat flux estimates heat flux history initial guess internal sensors inverse analysis inverse methods inverse theory linear linear least squares low pass filter measurement data multi-dimensional nine sensors nodes nonlinear obtained one-dimensional order regularizer parabolic inverse problem periodic square wave post-filter presented in Figure region resolution kernel response sampled data signal Section sensors located shown in Figure solve space marching spatial surface condition estimates surface estimates surface heat flux surface temperature temperature and heat temperature distribution temperature history test article thermal properties thermocouple tion transient true surface conditions unknown vector