A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow

Finite elements on evolving surfaces

Gerhard Dziuk, Charles M. Elliott · IMA Journal of Numerical Analysis · 2006 · 361 citations · Full text

Computing, Mathematics, Computational Geometry +14

An algorithm for evolutionary surfaces

Gerhard Dziuk · Numerische Mathematik · 1990 · 352 citations

Computing, Computer Science, Computational Geometry +6

Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

Xiaobing Feng, Andreas Prohl · Numerische Mathematik · 2003 · 344 citations

Natural Sciences, Physics, Computational Fluid Dynamics +13

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

Alan Demlow · SIAM Journal on Numerical Analysis · 2009 · 241 citations

Computing, Computational Engineering, Computational Geometry +14

A parametric finite element method for fourth order geometric evolution equations

John W. Barrett, Harald Garcke, Robert Nürnberg · Journal of Computational Physics · 2006 · 190 citations

Computing, Computational Engineering, Mechanical Engineering +10