A finite element approach to incompressible two-phase flow on manifolds

Solving pdes in complex geometries

(2013) X. Li et al.   Communications in Mathematical Sciences

Benchmark computations of diffuse interface models for two-dimensional bubble dynamics

(2011) S. Aland et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

(2011) Hector Gomez et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Effects of an embedding bulk fluid on phase separation dynamics in a thin liquid film

(2010) S. Ramachandran et al.   EPL

Hydrodynamic effects on spinodal decomposition kinetics in planar lipid bilayer membranes

(2010) Jun Fan et al.   JOURNAL OF CHEMICAL PHYSICS

Parametric FEM for geometric biomembranes

(2010) Andrea Bonito et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Morphology and topology in coarsening of domains via non-conserved and conserved dynamics

(2010) Yongwoo Kwon et al.   PHILOSOPHICAL MAGAZINE

Vortices on curved surfaces

(2010) Ari M. Turner et al.   REVIEWS OF MODERN PHYSICS

A Surface Phase Field Model for Two-Phase Biological Membranes

(2010) Charles M. Elliott et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Two-dimensional matter: order, curvature and defects

(2009) Mark J. Bowick et al.   ADVANCES IN PHYSICS

Lateral Organization of Lipids in Multi-component Liposomes

(2009) Sanoop Ramachandran et al.   JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN

ANALYSIS OF A DIFFUSE INTERFACE APPROACH TO AN ADVECTION DIFFUSION EQUATION ON A MOVING SURFACE

(2009) CHARLES M. ELLIOTT et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission

(2009) John S. Lowengrub et al.   PHYSICAL REVIEW E

Relaxation dynamics of fluid membranes

(2009) Marino Arroyo et al.   PHYSICAL REVIEW E

The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces

(2009) Colin B. Macdonald et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On the Two-Phase Navier–Stokes Equations with Boussinesq–Scriven Surface Fluid

(2008) Dieter Bothe et al.   Journal of Mathematical Fluid Mechanics

Geodesic Evolution Laws—A Level-Set Approach

(2008) Christina Stöcker et al.   SIAM Journal on Imaging Sciences

A simple embedding method for solving partial differential equations on surfaces

(2007) Steven J. Ruuth et al.   JOURNAL OF COMPUTATIONAL PHYSICS