Alternatives for Generating a Reduced Basis to Solve the Hyperspectral Diffuse Optical Tomography Model
Rachel Grotheer,
Thilo Strauss,
Phil Gralla
et al.
Abstract:The Reduced Basis Method (RBM) 1 is a model reduction technique used to solve parametric PDEs that relies upon a basis set of solutions to the PDE at specific parameter values. To generate this reduced basis, the set of a small number of parameter values must be strategically chosen. We apply a Metropolis algorithm and a gradient algorithm to find the set of parameters and compare them to the standard greedy algorithm most commonly used in the RBM. We test our methods by using the RBM to solve a simplified ver… Show more
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