This paper provides a number of working tools for the discussion of fully nonlinear parabolic equations. These include: a full proof that the maximum principle which provides L∞ estimates of "strong" ...

In this article we define a surface finite element method (SFEM) for the numerical solution of parabolic partial differential equations on hypersurfaces Γ in ℝn+1. The key idea is based on the ...

Computer graphics and geometry processing research provide the tools needed to simulate physical phenomena like fire and ...