scholarly journals Reduced-order shape optimization using offset surfaces

2015 ◽  
Vol 34 (4) ◽  
pp. 1-9 ◽  
Author(s):  
Przemyslaw Musialski ◽  
Thomas Auzinger ◽  
Michael Birsak ◽  
Michael Wimmer ◽  
Leif Kobbelt
Keyword(s):  
Shape Optimization ◽  
Reduced Order ◽  
Offset Surfaces

Fast Shape Optimization of Microwave Devices Based on Parametric Reduced-Order Models

2014 ◽  
Vol 50 (2) ◽  
pp. 629-632 ◽  
Author(s):  
Stefan Burgard ◽  
Ortwin Farle ◽  
Philipp Loew ◽  
Romanus Dyczij-Edlinger
Keyword(s):  
Shape Optimization ◽  
Microwave Devices ◽  
Reduced Order Models ◽  
Reduced Order

scholarly journals Shape Finding in Structural Optimization with Parametrically Reduced Finite Element Models

2018 ◽  
Author(s):  
Benjamin Fröhlich ◽  
Peter Eberhard
Keyword(s):  
Mechanical Properties ◽  
Finite Element ◽  
Structural Optimization ◽  
Shape Optimization ◽  
Projection Methods ◽  
Design Parameters ◽  
Finite Element Models ◽  
Reduced Order Models ◽  
Reduced Order ◽  
Parameterized Systems

In structural mechanics, shape optimization is one way to improve mechanical properties of the structure. Typical objectives are to minimize displacements or to minimize stresses. In this context, it is desirable to conduct optimizations with parameterized, reduced order models. However, commercial finite element codes do not provide parameterized system matrices for a geometrical parameterization making an application of PMOR challenging. Therefore, a geometrically parameterized solid finite element is derived which can be formulated with respect to global design parameters. This leads to an affine representation of the system matrices. This allows an efficient application of interpolatory projection methods for parameterized systems. The approach is demonstrated with a numerical example where the proposed approach shows a significant speedup.

scholarly journals Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips

2012 ◽  
Vol 82 (10) ◽  
pp. 1986-2003 ◽  
Author(s):  
Harbir Antil ◽  
Matthias Heinkenschloss ◽  
Ronald H.W. Hoppe ◽  
Christopher Linsenmann ◽  
Achim Wixforth
Keyword(s):  
Acoustic Wave ◽  
Shape Optimization ◽  
Surface Acoustic Wave ◽  
Reduced Order Modeling ◽  
Reduced Order ◽  
Microfluidic Biochips
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