Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces

Fully implicit, linearly implicit and implicit–explicit backward difference formulae for quasi-linear parabolic equations

(2015) Georgios Akrivis et al.   NUMERISCHE MATHEMATIK

Variational discretization of wave equations on evolving surfaces

(2014) Christian Lubich et al.   MATHEMATICS OF COMPUTATION

Evolving surface finite element method for the Cahn–Hilliard equation

(2014) Charles M. Elliott et al.   NUMERISCHE MATHEMATIK

Exhibiting cross-diffusion-induced patterns for reaction-diffusion systems on evolving domains and surfaces

(2014) A. Madzvamuse et al.   PHYSICAL REVIEW E

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

$L^2$-estimates for the evolving surface finite element method

(2012) Gerhard Dziuk et al.   MATHEMATICS OF COMPUTATION

An ALE ESFEM for Solving PDEs on Evolving Surfaces

(2012) Charles M. Elliott et al.   Milan Journal of Mathematics

A Fully Discrete Evolving Surface Finite Element Method

(2012) Gerhard Dziuk et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Runge-Kutta time discretization of parabolic differential equations on evolving surfaces

(2011) G. Dziuk et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

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

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