Narrow your search

Library

FARO (2)

KU Leuven (2)

LUCA School of Arts (2)

Odisee (2)

Thomas More Kempen (2)

Thomas More Mechelen (2)

UCLL (2)

ULB (2)

ULiège (2)

VDIC (2)

More...

Resource type

book (2)


Language

English (2)


Year
From To Submit

2022 (1)

2019 (1)

Listing 1 - 2 of 2
Sort by

Book
Dynamic iteration and model order reduction for magneto-quasistatic systems
Authors: ---
ISBN: 9783832549107 Year: 2019 Publisher: Berlin/Germany Logos Verlag Berlin

Loading...
Export citation

Choose an application

Bookmark

Abstract

Our world today is becoming increasingly complex, and technical devices are getting ever smaller and more powerful. The high density of electronic components together with high clock frequencies leads to unwanted side-effects like crosstalk, delayed signals and substrate noise, which are no longer negligible in chip design and can only insufficiently be represented by simple lumped circuit models. As a result, different physical phenomena have to be taken into consideration since they have an increasing influence on the signal propagation in integrated circuits. Computer-based simulation methods play thereby a key role. The modelling and analysis of complex multi-physics problems typically leads to coupled systems of partial differential equations and differential-algebraic equations (DAEs). Dynamic iteration and model order reduction are two numerical tools for efficient and fast simulation of coupled systems. Formodelling of low frequency electromagnetic field, we use magneto-quasistatic (MQS) systems which can be considered as an approximation to Maxwells equations. A spatial discretization by using the finite element method leads to a DAE system. We analyze the structural and physical properties of this system and develop passivity-preserving model reduction methods. A special block structure of the MQS model is exploited to to improve the performance of the model reduction algorithms.


Book
Evolutionary equations : Picard's theorem for partial differential equations, and applications
Authors: --- ---
ISBN: 3030893979 3030893960 Year: 2022 Publisher: Cham Springer Nature

Loading...
Export citation

Choose an application

Bookmark

Abstract

This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required. Nevertheless, key properties of solutions can be recovered in an elegant manner. Moreover, the strength of this method is demonstrated by a large variety of examples, showing the applicability of the approach of evolutionary equations in various fields. Additionally, a quantitative theory for evolutionary equations is developed. The text is self-contained, providing an excellent source for a first study on evolutionary equations and a decent guide to the available literature on this subject, thus bridging the gap to state-of-the-art mathematical research.

Listing 1 - 2 of 2
Sort by