Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Empirical interpolation method"”.
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Computational Simulation of Detonation Waves and Model Reduction for Reacting Flows
… orthogonal decomposition (POD) and the discrete empirical interpolation method (DEIM) that addresses the computational challenges involved in the numerical simulations of reacting flows is also proposed and demonstrated.
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Impact of Discretization Techniques on Nonlinear Model Reduction and Analysis of the Structure of the POD Basis
… techniques Finite Differences, Finite Element Method and Group Finite Elements are applied and their impact on model reduction techniques, namely Proper Orthogonal Decomposition (POD), Group POD and the Discrete Empirical Interpolation Method (DEIM), is studied. This study is facilitated by …
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Characteristic Classification of Walkers via Underfloor Accelerometer Gait Measurements through Machine Learning
… The data reduction techniques are Discrete Empirical Interpolation Method (DEIM), Q-DEIM, and Projection Coefficients. A two-part methodology is proposed to implement the approach completed in this thesis work. The first step validates the algorithm design choices, i.e. using bagged or …
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Model Reduction of Nonlinear Fire Dynamics Models
… We use a technique known as the discrete empirical interpolation method (DEIM) to address the slowness due to the nonlinearity. We create new methods to reduce nonlinear models, such as the Burgers' equation, that perform better than POD over a wider range of input conditions. Further, …
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Model reduction for nonlinear dynamical systems with parametric uncertainties
… to derive the reduced basis while the discrete empirical interpolation method (DEIM) is employed to approximate the nonlinear term such that the repeated online evaluations of the reduced-order model (ROM) is independent of the full-order model (FOM) dimension. In problems where vastly different …
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Model Order Reduction: Application to Electromagnetic Problems
… modeling and electromagnetics, discretization methods–in particular the finite element method–have had a tremendous impact. Their main advantage consists in a correct representation of dynamical and nonlinear behaviors by solving equations at local scale, however the spatial discretization …
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Dimension Reduction in Structured Dynamical Systems: Optimal-𝓗<sub>2</sub> Approximation, Data-Driven Balancing, and Real-Time Monitoring
… systems. In the first part, balancing-based methods for system-theoretic model reduction of linear time-invariant systems are considered. We generalize conditions for which the balanced truncation $mathcal{H}_{infty}$ error bound is known to hold with equality. Specifically, we show that the …
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Iterative Solution Methods for Reduced-Order Models of Parameterized Partial Differential Equations
… many unknowns whose solution via traditional methods can be expensive. Reduced-order models use a reduced space to approximate the parameterized PDE, where the reduced space is of a significantly smaller dimension than that of the discrete PDE. Solving an approximation of the problem on the …