<div class="csl-bib-body">
<div class="csl-entry">Wang, B. (2024, June 24). <i>Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis</i> [Poster Presentation]. Frontiers in Interacting Particle Systems, Aggregation-Diffusion Equations and Collective Behavior, Marseille, France.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/199157
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dc.description
This presentation exhibits a structure-preserving numerical scheme.
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dc.description.abstract
A fully discrete semi-convex-splitting finite-element scheme with stabilization for a Cahn- Hilliard cross-diffusion system is analyzed. The system consists of parabolic fourth-order equa- tions for the volume fraction of the fiber phase and solute concentration, modeling pre-patterning of lymphatic vessel morphology. The existence of discrete solutions is proved, and it is shown that the numerical scheme is energy stable up to stabilization, conserves the solute mass, and preserves the lower and upper bounds of the fiber phase fraction. Numerical experiments in two space dimensions using FreeFEM illustrate the phase segregation and pattern formation.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.description.sponsorship
European Commission
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dc.language.iso
en
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dc.subject
Cahn–Hilliard equation
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dc.subject
cross-diffusion systems
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dc.subject
free energy
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dc.subject
lymphangiogenesis
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dc.subject
convex splitting
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dc.subject
finite-element method
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dc.subject
energy stability
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dc.subject
existence of discrete solutions
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dc.title
Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis
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dc.type
Presentation
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dc.type
Vortrag
de
dc.relation.grantno
P 33010-N
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dc.relation.grantno
101018153
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dc.type.category
Poster Presentation
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tuw.project.title
Multikomponentensysteme mit unvollständiger Diffusion
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tuw.project.title
Emergente Netzwerkstrukturen und neuromorphische Anwendungen
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tuw.researchTopic.id
C6
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tuw.researchTopic.name
Modeling and Simulation
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing
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tuw.event.name
Frontiers in Interacting Particle Systems, Aggregation-Diffusion Equations and Collective Behavior
en
tuw.event.startdate
24-06-2024
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tuw.event.enddate
28-06-2024
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Marseille
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tuw.event.country
FR
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tuw.event.institution
Centre International de Rencontres Mathématiques, Aix-Marseille University
