Parameter preserving model order reduction for MEMS applications

DOI10.1080/13873954.2011.547658zbMath1302.74063OpenAlexW2124227415MaRDI QIDQ5411550

Christian Moosmann, Peter Benner, Ulrike Baur, Jan G. Korvink, Jan Lienemann, Andreas Greiner

Publication date: 24 April 2014

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10.1080/13873954.2011.547658

zbMATH Keywords

parameterizationgyroscopeparametric model order reductionMEMS sensorsanemometer

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) System structure simplification (93B11) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Technical applications of optics and electromagnetic theory (78A55)

Related Items (10)

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations ⋮ Parametric model order reduction with a small \(\mathcal H_2\)-error using radial basis functions ⋮ Model order reduction of parameterized circuit equations based on interpolation ⋮ Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots ⋮ Interpolation Strategy for BT-Based Parametric MOR of Gas Pipeline-Networks ⋮ Structure-preserving-based model-order reduction of parameterized interconnect systems ⋮ Model order reduction of thermo-mechanical models with parametric convective boundary conditions: focus on machine tools ⋮ A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems ⋮ A Subspace Framework for ${\mathcal H}_\infty$-Norm Minimization ⋮ Optimization-Based Parametric Model Order Reduction for the Application to the Frequency-Domain Analysis of Complex Systems

Uses Software

• Sparse Grid Interpolation

Cites Work

• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• A two-directional Arnoldi process and its application to parametric model order reduction
• MST MEMS model order reduction: requirements and benchmarks
• Interpolatory Projection Methods for Parameterized Model Reduction
• An Arnoldi-Type Algorithm for Parametric Finite Element Modelling of Microwave Components
• Sparse grids
• Multi-parameter polynomial order reduction of linear finite element models
• Unnamed Item

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