A convergent finite element algorithm for generalized mean curvature flows of closed surfaces

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

(2019) Balázs Kovács et al.   NUMERISCHE MATHEMATIK

Numerical Preservation of Velocity Induced Invariant Regions for Reaction–Diffusion Systems on Evolving Surfaces

(2018) Massimo Frittelli et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

Approximation rates for regularized level set power mean curvature flow

(2017) Heiko Kröner   Portugaliae Mathematica

Nonlinear evolution by mean curvature and isoperimetric inequalities

(2017) F. Schulze   JOURNAL OF DIFFERENTIAL GEOMETRY

Pinching and Asymptotical Roundness for Inverse Curvature Flows in Euclidean Space

(2015) Julian Scheuer   JOURNAL OF GEOMETRIC ANALYSIS

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

Non-scale-invariant inverse curvature flows in Euclidean space

(2012) Claus Gerhardt   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

An ALE ESFEM for Solving PDEs on Evolving Surfaces

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

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

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

Convexity estimates for a nonhomogeneous mean curvature flow

(2009) Roberta Alessandroni et al.   MATHEMATISCHE ZEITSCHRIFT

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

(2009) Alan Demlow   SIAM JOURNAL ON NUMERICAL ANALYSIS

On the parametric finite element approximation of evolving hypersurfaces in R3

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