Model-order reduction for differential-algebraic equation systems with higher index

2014 ◽  
Vol 24 (1) ◽  
pp. 72-81 ◽  
Author(s):  
Chun-Yue Chen ◽  
Yao-Lin Jiang
Keyword(s):  
Algebraic Equation ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Differential Algebraic Equation ◽  
Model Order

scholarly journals Model order reduction of dynamic skeletal muscle models

2016 ◽  
Author(s):  
Mylena Mordhorst ◽  
Daniel Wirtz ◽  
Oliver Röhrle
Keyword(s):  
Skeletal Muscle ◽  
Model Order Reduction ◽  
Finite Elasticity ◽  
Dynamic Modelling ◽  
Order Reduction ◽  
Incompressible Material ◽  
Differential Algebraic Equation ◽  
Model Order ◽  
Highly Nonlinear ◽  
Muscle Models

Forward simulations of three-dimensional continuum-mechanical skeletal muscle models are a complex and computationally expensive problem. Moreover, considering a fully dynamic modelling framework based on the theory of finite elasticity is challenging as the muscles’ mechanical behaviour requires to consider a highly nonlinear, anisotropic, viscoelastic and incompressible material behaviour. The governing equations yield a nonlinear second-order differential algebraic equation (DAE) system, which represents a challenge for model order reduction techniques.

THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

2019 ◽  
Author(s):  
Vladimir Lantsov ◽  
A. Papulina
Keyword(s):  
Harmonic Balance ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Balance Equations ◽  
Model Order ◽  
Cad Systems ◽  
Computational Costs ◽  
Reduction Methods ◽  
Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

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