Maximum norm stability and error estimates for the evolving surface finite element method
Balázs Kovács, Christian Andreas Power Guerra · Numerical Methods for Partial Differential Equations · 2017
We show convergence in the natural and norm for a semidiscretization with linear finite elements of a linear parabolic partial differential equations on evolving surfaces. To prove this, we show error estimates for a Ritz map, error estimates for the material derivative of a Ritz map and a weak discrete maximum principle.