Computing the dynamics of biomembranes by combining conservative level set and adaptive finite element methods

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Laadhari , Aymen; Saramito , Pierre; Misbah , Chaouqi;
  • Publisher: Elsevier
  • Related identifiers: doi: 10.1016/
  • Subject: [ PHYS.PHYS.PHYS-COMP-PH ] Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph] | [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP] | [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA] | Helfrich energy | [ PHYS.PHYS.PHYS-FLU-DYN ] Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn] | [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph] | [PHYS.PHYS.PHYS-COMP-PH]Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph] | adaptive finite element method | [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] | mass conservation | [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] | [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn] | vesicle dynamics | [PHYS.PHYS.PHYS-BIO-PH]Physics [physics]/Physics [physics]/Biological Physics [] | [ PHYS.PHYS.PHYS-BIO-PH ] Physics [physics]/Physics [physics]/Biological Physics [] | level set method | fluid mechanics | [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] | fluid mechanics.
    arxiv: Quantitative Biology::Subcellular Processes | Physics::Fluid Dynamics

International audience; The numerical simulation of the deformation of vesicle membranes under simple shear external fluid flow is considered in this paper. A new saddle-point approach is proposed for the imposition of the fluid incompressibility and the membrane inexte... View more
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