Modeling and Numerical Simulation of Ferroelectric Material Behavior Using Hysteresis Operators

Kaltenbacher, Barbara

doi:10.5772/18530

Cited by 3 publications

(3 citation statements)

References 35 publications

(37 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For a more comprehensive introduction on ferroelectric materials, we refer to [43,9,16,19,22] and the references therein. We also refer the readers to [6,40,41,29,21,33,38] for recent progress on the modeling and numerical simulations of the ferroelectric model.…”

Section: Introductionmentioning

confidence: 99%

On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model

Luo

2020

Preprint

View full text Add to dashboard Cite

We consider a state-of-the-art ferroelectric phase-field model arising from the engineering area in recent years, which is mathematically formulated as a coupled elliptic-parabolic differential system. We utilize a fixed point theorem based on the maximal parabolic regularity theory to show the local in time well-posedness of the ferroelectric problem. The well-posedness result will firstly be proved under certain general assumptions. We then give precise geometric and regularity conditions which will guarantee the fulfillment of the assumptions.

show abstract

Section: Introductionmentioning

confidence: 99%

On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model

Luo

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…This introduces a nonsymmetric term into the hyperbolic wave equation. Further specifics go beyond the scope of this paper-for details refer to [47] and [48]. …”

Section: Numerical Solutionmentioning

confidence: 99%

“…To prevent any reflection of acoustic waves imping the in-and outflow a perfectly matched layer (PML) is used as introduced in [47] and [48].…”

Section: Governing Equationsmentioning

confidence: 99%

Computational aeroacoustics of human phonation

Šidlof

Zörner

2013

EPJ Web of Conferences

View full text Add to dashboard Cite

The current paper presents a CFD model of flow past vibrating vocal folds coupled to an acoustic solver, which calculates the sound sources from the flow field in a hybrid approach. The CFD model is based on the numerical solution of 3D Navier-Stokes equations on a time-dependent domain, solved by cell-centered finite volume method. To capture the fine turbulent scales important for the acoustic source calculations, the equations are discretized and solved on large computational meshes up to 3.2M elements. The CFD simulations were run in parallel using domain decomposition method and OpenMPI implementation of the MPI standard. Aeroacoustic simulations are calculated in a separate step by Lighthill's acoustic analogy, which determines the acoustic sources based on the fluid field. This is done with the research code CFS++ which employs the finite element method (FEM).

show abstract

Darstellung von Hysterese-Operatoren mit stückweise monotaffinen Input-Funktionen durch Funktionen auf Strings

Klein¹

2014

View full text Add to dashboard Cite

Modeling and Numerical Simulation of Ferroelectric Material Behavior Using Hysteresis Operators

Cited by 3 publications

References 35 publications

On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model

On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model

Computational aeroacoustics of human phonation

Darstellung von Hysterese-Operatoren mit stückweise monotaffinen Input-Funktionen durch Funktionen auf Strings

Contact Info

Product

Resources

About