[HTML][HTML] A monolithic finite element method for phase-field modeling of fully Eulerian fluid–structure interaction

N Valizadeh, X Zhuang, T Rabczuk - Computer Methods in Applied …, 2025 - Elsevier
In this paper, we introduce a fully-monolithic, implicit finite element method designed for
investigating fluid–structure interaction problems within a fully Eulerian framework. Our …

Isogeometric analysis of hydrodynamics of vesicles using a monolithic phase-field approach

N Valizadeh, T Rabczuk - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
In this paper, we present an isogeometric analysis for studying the dynamical behavior of
inextensible vesicles under an external fluid flow with inertial forces. We consider a phase …

Subdivision-based isogeometric analysis for second order partial differential equations on surfaces

Q Pan, T Rabczuk, X Yang - Computational Mechanics, 2021 - Springer
We investigate the isogeometric analysis approach based on the extended Catmull–Clark
subdivision for solving the PDEs on surfaces. As a compatible technique of NURBS …

Hydrodynamics of multicomponent vesicles: A phase-field approach

Z Wen, N Valizadeh, T Rabczuk, X Zhuang - Computer Methods in Applied …, 2024 - Elsevier
In this paper, we introduce a thermodynamically-consistent phase-field model to investigate
the hydrodynamics of inextensible multicomponent vesicles in various fluid flows with inertial …

Isogeometric analysis for surface PDEs with extended Loop subdivision

Q Pan, T Rabczuk, G Xu, C Chen - Journal of computational physics, 2019 - Elsevier
We investigate the isogeometric analysis for surface PDEs based on the extended Loop
subdivision approach. The basis functions consisting of quartic box-splines corresponding to …

[PDF][PDF] Developments in isogeometric analysis and application to high-order phase-field models of biomembranes

N Valizadeh - 2021 - uni-weimar.de
2. CAD Modelle sind Oberflächenmodelle. Daher eignet sich die IGA zur Modellierung
komplexer Oberflächen. Aufgrund der Tensorproduktform der Basisfunktionen ist die …