Discretization error estimates for penalty formulations of a linearized Canham–Helfrich-type energy

DOI10.1093/IMANUM/DRX071zbMath1461.65251arXiv1703.06688OpenAlexW2963229890MaRDI QIDQ5854332

Carsten Gräser, Tobias Kies

Publication date: 16 March 2021

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

Full work available at URL: https://arxiv.org/abs/1703.06688

zbMATH Keywords

penalty methoddiscretization error estimatebiomembrane modelBogner-Fox-Schmit finite element method

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15) Integro-partial differential equations (35R09)

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A formula for membrane mediated point particle interactions on near spherical biomembranes ⋮ Second order splitting of a class of fourth order PDEs with point constraints ⋮ Nitsche's method for linear Kirchhoff-Love shells: formulation, error analysis, and verification ⋮ On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models

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