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Optimizer. Parameter estimation in groundwater models using proper orthogonal decomposition (2012).
| Content Provider | CiteSeerX |
|---|---|
| Researcher | Winton, Corey W. |
| Abstract | We develop a new Proper Orthogonal Decomposition (POD) reduced order model for saturated groundwater flow, and apply that model to an inverse problem for the hydraulic conductivity field. We use sensitivities as the POD basis. We compare the reduced order model results to results obtained with a full finite element model. The solutions generated using the POD reduced model are comparable in residual norm to the solutions formed using only the full-scale model. The material parameters are similarly comparable. The time to solution when using the reduced model is reduced by at least an order of magnitude, as are the number of calls to the full model. The following thesis will give an overview of groundwater modeling, construction and usage of POD, and demonstrate the results of our implementation. We also examine how the inexactness of a reduced order model affects the convergence of the Levenberg-Marquardt |
| File Format | |
| Publisher Date | 2012-01-01 |
| Access Restriction | Open |
| Subject Keyword | Parameter Estimation Residual Norm Pod Basis Following Thesis Material Parameter Saturated Groundwater Flow Full-scale Model Groundwater Modeling Order Model Reduced Order Model Inverse Problem Reduced Model Reduced Order Model Result Full Finite Element Model Hydraulic Conductivity Field New Proper Orthogonal Decomposition Full Model |
| Content Type | Text |
| Resource Type | Thesis |
