Convergence of finite elements on an evolving surface driven by diffusion on the surface
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DOI: 10.1007/s00211-017-0888-4
Abstract: For a parabolic surface partial differential equation coupled to surface evolution, convergence of the spatial semidiscretization is studied in this paper. The velocity of the evolving surface is not given explicitly, but depends on the… read more here.
Keywords: surface; evolving surface; finite elements; diffusion surface ... See more keywords
A fully discrete evolving surface finite element method for the Cahn–Hilliard equation with a regular potential
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DOI: 10.1007/s00211-025-01457-8
Abstract: We study two fully discrete evolving surface finite element schemes for the Cahn–Hilliard equation on an evolving surface, given a smooth potential with polynomial growth. In particular, we establish optimal order error bounds for a… read more here.
Keywords: evolving surface; surface finite; fully discrete; surface ... See more keywords
Cahn–Hilliard equations on an evolving surface
Sign Up to like & getrecommendations! Published in 2021 at "European Journal of Applied Mathematics"
DOI: 10.1017/s0956792521000176
Abstract: We describe a functional framework suitable to the analysis of the Cahn–Hilliard equation on an evolving surface whose evolution is assumed to be given a priori. The model is derived from balance laws for an… read more here.
Keywords: equations evolving; hilliard equations; cahn hilliard; evolving surface ... See more keywords