A general decay result of a wave equation with a dynamic boundary control of diffusive type
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5544
Abstract: We study a wave equation with a dynamic boundary control of diffusive type. We establish optimal and explicit energy decay formula by using resolvent estimates. Our new result generalizes and improves the earlier related results… read more here.
Keywords: boundary control; wave equation; dynamic boundary; diffusive type ... See more keywords
An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01230-7
Abstract: In the paper we consider a finite-volume approximation for the Cahn-Hilliard equation with dynamic boundary conditions. We prove an error estimate for the fully-discrete scheme. We also give numerical simulations which validate the theoretical result. read more here.
Keywords: boundary conditions; finite volume; dynamic boundary; equation dynamic ... See more keywords