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Variational Approximation for a Non-Isothermal Coupled Phase-Field System: Structure-Preservation & Nonlinear Stability
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Periodical
- Title:
- Computational methods in applied mathematics
- Publication:
-
Berlin: De Gruyter
- Note:
- Gesehen am 29.01.13
- 355!URL mit z LF gelöscht(19-01-13)
- Scope:
- Online-Ressource
- ISSN:
- 1609-9389
- ZDB-ID:
-
2075629-X
- VÖBB-Katalog:
- 34851710
- Keywords:
- Zeitschrift
- Classification:
- Mathematik
- Collection:
- Mathematik
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
- Title:
- Computational methods in applied mathematics
- Publication:
-
Berlin: De Gruyter
- Note:
- Gesehen am 29.01.13
- 355!URL mit z LF gelöscht(19-01-13)
- Scope:
- Online-Ressource
- ISSN:
- 1609-9389
- ZDB-ID:
-
2075629-X
- VÖBB-Katalog:
- 34851710
- Keywords:
- Zeitschrift
- Classification:
- Mathematik
- Collection:
- Mathematik
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
Article
- Title:
- Variational Approximation for a Non-Isothermal Coupled Phase-Field System: Structure-Preservation & Nonlinear Stability
- Publication:
-
Berlin: De Gruyter, 2025
- Language:
- English
- Information:
- Abstract: A Cahn–Hilliard–Allen–Cahn phase-field model coupled with a heat transfer equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating the problem with respect to the inverse of temperature, we proposed and analysed a structure-preserving approximation for the semi-discretisation in space and then a fully discrete approximation using conforming finite elements and time-stepping methods. We prove structure-preserving property and discrete stability using relative entropy methods for the semi-discrete and fully discrete case. The theoretical results are illustrated by numerical experiments.
- Scope:
- Online-Ressource
- Note:
- Kein Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- Non-Isothermal Phase-Field ; Cross-Diffusion ; Finite Elements ; Entropy Stable ; 65M60 ; 35K52 ; 35K55 ; 65M12 ; 82C26
- Classification:
- Mathematik
- Sonstiges
- Collection:
- Mathematik
- Sonstiges
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
- Title:
- Variational Approximation for a Non-Isothermal Coupled Phase-Field System: Structure-Preservation & Nonlinear Stability
- Publication:
-
Berlin: De Gruyter, 2025
- Language:
- English
- Information:
- Abstract: A Cahn–Hilliard–Allen–Cahn phase-field model coupled with a heat transfer equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating the problem with respect to the inverse of temperature, we proposed and analysed a structure-preserving approximation for the semi-discretisation in space and then a fully discrete approximation using conforming finite elements and time-stepping methods. We prove structure-preserving property and discrete stability using relative entropy methods for the semi-discrete and fully discrete case. The theoretical results are illustrated by numerical experiments.
- Scope:
- Online-Ressource
- Note:
- Kein Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- Non-Isothermal Phase-Field ; Cross-Diffusion ; Finite Elements ; Entropy Stable ; 65M60 ; 35K52 ; 35K55 ; 65M12 ; 82C26
- Classification:
- Mathematik
- Sonstiges
- Collection:
- Mathematik
- Sonstiges
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
