On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models

DOI10.4171/IFB/461zbMath1509.35307arXiv1711.11192MaRDI QIDQ6294613

Carsten Gräser, Tobias Kies

Publication date: 29 November 2017

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) 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) Finite difference methods applied to problems in solid mechanics (74S20) Membranes (74K15) Biomechanical solid mechanics (74L15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10) Cell biology (92C37) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09)

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