A convergent evolving finite element algorithm for mean curvature flow of closed surfaces

Linearly implicit full discretization of surface evolution

(2018) Balázs Kovács et al.   NUMERISCHE MATHEMATIK

High-order evolving surface finite element method for parabolic problems on evolving surfaces

(2017) Balázs Kovács   IMA JOURNAL OF NUMERICAL ANALYSIS

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations

(2017) Georgios Akrivis et al.   MATHEMATICS OF COMPUTATION

Convergence of finite elements on an evolving surface driven by diffusion on the surface

(2017) Balázs Kovács et al.   NUMERISCHE MATHEMATIK

Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve

(2017) John W. Barrett et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

(2016) Balázs Kovács et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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

(2015) Georgios Akrivis et al.   NUMERISCHE MATHEMATIK

Backward difference time discretization of parabolic differential equations on evolving surfaces

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

Scalar conservation laws on moving hypersurfaces

(2013) Gerhard Dziuk et al.   INTERFACES AND FREE BOUNDARIES

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

(2012) Gerhard Dziuk et al.   MATHEMATICS OF COMPUTATION

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

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

Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves

(2011) John W. Barrett et al.   NUMERISCHE MATHEMATIK

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

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

(2009) Alan Demlow   SIAM JOURNAL ON NUMERICAL ANALYSIS

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