Curve shortening flow coupled to lateral diffusion

On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick

(2016) Charles M. Elliott et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces

(2014) Maxim A. Olshanskii et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Backward difference time discretization of parabolic differential equations on evolving surfaces

(2013) C. Lubich et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Finite element methods for surface PDEs

(2013) Gerhard Dziuk et al.   ACTA NUMERICA

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

(2012) Charles M. Elliott et al.   Communications in Computational Physics

Modelling cell motility and chemotaxis with evolving surface finite elements

(2012) C. M. Elliott et al.   Journal of the Royal Society Interface

Curve shortening flow in heterogeneous media

(2011) Annalisa Cesaroni et al.   INTERFACES AND FREE BOUNDARIES

A Higher Order Scheme for a Tangentially Stabilized Plane Curve Shortening Flow with a Driving Force

(2011) Martin Balažovjech et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Modeling Cell Movement and Chemotaxis Using Pseudopod-Based Feedback

(2011) M. P. Neilson et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

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

A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion

(2010) Shingyu Leung et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute

(2010) John W. Barrett et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Numerical approximation of gradient flows for closed curves in Rd

(2009) J. W. Barrett et al.   IMA JOURNAL OF NUMERICAL ANALYSIS