Finite element approximation for the dynamics of asymmetric fluidic biomembranes
DOI10.1090/mcom/3162zbMath1394.76064OpenAlexW2340106010WikidataQ117202068 ScholiaQ117202068MaRDI QIDQ2967959
Robert Nürnberg, John W. Barrett, Harald Garcke
Publication date: 9 March 2017
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3162
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Biophysics (92C05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Biological fluid mechanics (76Z99)
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- A stable numerical method for the dynamics of fluidic membranes
- An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows
- Computing the dynamics of biomembranes by combining conservative level set and adaptive finite element methods
- Diffuse interface models of locally inextensible vesicles in a viscous fluid
- Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows
- Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves
- An algorithm for evolutionary surfaces
- On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\)
- Computational parametric Willmore flow
- Parametric FEM for geometric biomembranes
- Modeling and computation of two phase geometric biomembranes using surface finite elements
- Local well-posedness for relaxational fluid vesicle dynamics
- Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM
- A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
- A stable parametric finite element discretization of two-phase Navier-Stokes flow
- A semi-implicit finite element method for viscous lipid membranes
- Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow
- Reynolds number effects on lipid vesicles
- Modeling and Computing of Deformation Dynamics of Inhomogeneous Biological Surfaces
- Oscillating motions of neutrally buoyant particle and red blood cell in Poiseuille flow in a narrow channel
- Numerical Methods for Two-phase Incompressible Flows
- Dynamics of Biomembranes: Effect of the Bulk Fluid
- Computation of geometric partial differential equations and mean curvature flow
- Finite Element Methods for Navier-Stokes Equations
- Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations
- On the stable numerical approximation of two-phase flow with insoluble surfactant
- Finite element methods for surface PDEs
- Finite element discretization of the Navier-Stokes equations with a free capillary surface
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