91 citations · 747 across the 46 of their papers we have counts for
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math.NA2017★ 9 cited
Gradient flow dynamics of two-phase biomembranes: Sharp interface variational formulation and finite element approximation
John W. Barrett, Harald Garcke, Robert Nürnberg
A finite element method for the evolution of a two-phase membrane in a sharp interface formulation is introduced. The evolution equations are given as an --gradient flow of an…
math.AP2017★ 87 cited
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
We derive a Cahn-Hilliard-Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of…