Computation of Two-Phase Biomembranes with Phase DependentMaterial Parameters Using Surface Finite Elements

Modeling and computation of two phase geometric biomembranes using surface finite elements

(2010) Charles M. Elliott et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Surface Phase Field Model for Two-Phase Biological Membranes

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

Neck geometry and shape transitions in vesicles with co-existing fluid phases: Role of Gaussian curvature stiffness vs. spontaneous curvature

(2009) S. L. Das et al.   EPL

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

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

Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces

(2009) Alan Demlow   SIAM JOURNAL ON NUMERICAL ANALYSIS

Viscous regularization and r-adaptive remeshing for finite element analysis of lipid membrane mechanics

(2008) Lin Ma et al.   JOURNAL OF COMPUTATIONAL PHYSICS

ALLEN–CAHN SYSTEMS WITH VOLUME CONSTRAINTS

(2008) HARALD GARCKE et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Computational parametric Willmore flow

(2008) Gerhard Dziuk   NUMERISCHE MATHEMATIK

Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

(2008) John W. Barrett et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On the parametric finite element approximation of evolving hypersurfaces in R3

(2007) John W. Barrett et al.   JOURNAL OF COMPUTATIONAL PHYSICS