7 Result(s)
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Chapter and Conference Paper
Performance Evaluation of a Multilevel Sub-structuring Method for Sparse Eigenvalue Problems
The automated multilevel sub-structuring (AMLS) method [2, 7, 3] is an extension of a simple sub-structuring method called component mode synthesis (CMS) [6, 4] originally developed in the 1960s. The recent work ...
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Chapter and Conference Paper
Substructuring, Dimension Reduction and Applications: An Introduction
There are a variety of reasons to go for substructuring and dimension reduction in scientific computations and applications. Substructuring makes it possible to solve large and seemingly intractable computatio...
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Chapter and Conference Paper
Towards an Optimal Substructuring Method for Model Reduction
Substructuring methods have been studied since 1960s. The modes of subsystems associated with the lowest frequencies are typically retained. This mode selection rule is largely heuristic. In this paper, we use...
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Chapter and Conference Paper
Algebraic Sub-structuring for Electromagnetic Applications
Algebraic sub-structuring refers to the process of applying matrix reordering and partitioning algorithms to divide a large sparse matrix into smaller submatrices from which a subset of spectral components are...
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Chapter and Conference Paper
Model Reduction for RF MEMS Simulation
Radio-frequency (RF) MEMS resonators, integrated into CMOS chips, are of great interest to engineers planning the next generation of communication systems. Fast simulations are necessary in order to gain insig...
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Chapter and Conference Paper
Structure-Preserving Model Reduction
A general framework for structure-preserving model reduction by Krylov subspace projection methods is developed. The goal is to preserve any substructures of importance in the matrices L, G, C, B that define the ...
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Chapter and Conference Paper
Some Unusual Eigenvalue Problems
We survey some unusual eigenvalue problems arising in different applications. We show that all these problems can be cast as problems of estimating quadratic forms. Numerical algorithms based on the well-known...
