Anisotropy in wavelet based phase field models

dc.contributor.authorKorzec, Maciek
dc.contributor.authorMünch, Andreas
dc.contributor.authorSüli, Endre
dc.contributor.authorWagner, Barbara
dc.date.accessioned2021-12-17T10:11:50Z
dc.date.available2021-12-17T10:11:50Z
dc.date.issued2014-12-18
dc.description.abstractAnisotropy is an essential feature of phase-field models, in particular when describing the evolution of microstructures in solids. The symmetries of the crystalline phases are reflected in the interfacial energy by introducing corresponding directional dependencies in the gradient energy coefficients, which multiply the highest order derivative in the phase-field model. This paper instead considers an alternative approach, where the anisotropic gradient energy terms are replaced by a wavelet analogue that is intrinsically anisotropic and linear. In our studies we focus on the classical coupled temperature - Ginzburg-Landau type phase-field model for dendritic growth. For the resulting derivative-free wavelet analogue existence, uniqueness and continuous dependence on initial data for weak solutions is proved. The ability to capture dendritic growth similar to the results obtained from classical models is investigated numerically.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15795
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14568
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherphase-field modelen
dc.subject.otherwaveletsen
dc.subject.othersharp-interface modelen
dc.subject.otherfree boundariesen
dc.titleAnisotropy in wavelet based phase field modelsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2014, 41en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200034E13 Multiple scale methodsen
tub.subject.msc200074N20 Dynamics of phase boundariesen

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