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Modelling fluid deformable surfaces with an emphasis on biological interfaces
Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers,
the actomyosin cortex or epithelial cell sheets. These interfaces exhibit a complex interplay …
the actomyosin cortex or epithelial cell sheets. These interfaces exhibit a complex interplay …
Derivation and simulation of a two-phase fluid deformable surface model
To explore the impact of surface viscosity on coexisting fluid domains in biomembranes we
consider two-phase fluid deformable surfaces as model systems for biomembranes. Such …
consider two-phase fluid deformable surfaces as model systems for biomembranes. Such …
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
In this paper we study parametric trace finite element (TraceFEM) and parametric surface
finite element (SFEM) discretizations of a surface Stokes problem. These methods are …
finite element (SFEM) discretizations of a surface Stokes problem. These methods are …
Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces
M Sun, X ** scheme to simulate
fluid deformable surfaces. Such surfaces are modeled by incompressible surface Navier …
fluid deformable surfaces. Such surfaces are modeled by incompressible surface Navier …
A tangential and penalty-free finite element method for the surface Stokes problem
Surface Stokes and Navier–Stokes equations are used to model fluid flow on surfaces. They
have attracted significant recent attention in the numerical analysis literature because …
have attracted significant recent attention in the numerical analysis literature because …
Simultaneous analysis of continuously embedded Reissner–Mindlin shells in 3D bulk domains
A mechanical model and numerical method for the simultaneous analysis of Reissner–
Mindlin shells with geometries implied by a continuous set of level sets (isosurfaces) over …
Mindlin shells with geometries implied by a continuous set of level sets (isosurfaces) over …
A divergence-conforming finite element method for the surface Stokes equation
The Stokes equation posed on surfaces is important in some physical models, but its
numerical solution poses several challenges not encountered in the corresponding …
numerical solution poses several challenges not encountered in the corresponding …