Structure-preserving discretizations of gradient flows for axisymmetric two-phase biomembranes

DOI10.1093/imanum/draa027OpenAlexW3009207857MaRDI QIDQ5077047

Robert Nürnberg, Harald Garcke

Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03127

zbMATH Keywords

stabilitynumerical simulationsparametric finite elementsbiomembranesWillmore flowmulti-phase Canham-Helfrich-Evans energy

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Biomechanics (92C10) Membranes (74K15) Biomechanical solid mechanics (74L15) Computational methods for problems pertaining to biology (92-08) PDEs in connection with mechanics of deformable solids (35Q74) Preconditioners for iterative methods (65F08) Axially symmetric solutions to PDEs (35B07)

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