Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Bachini, Elena"'
We consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modeled by incompressible surface Navier-Stokes-Cahn-Hilliard-like equations with bending forces. We derive this model using the Lagrange-D'Alembert
Externí odkaz:
http://arxiv.org/abs/2305.15147
We consider the impact of surface hydrodynamics on the interplay between curvature and composition in coarsening processes on model systems for biomembranes. This includes scaling laws and equilibrium configurations, which are investigated by computa
Externí odkaz:
http://arxiv.org/abs/2302.04028
We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. Using a local curvilinear reference system anchored on the bottom surface, we develop an effective first-order and high-re
Externí odkaz:
http://arxiv.org/abs/2209.03795
Autor:
Bachini, Elena, Brandner, Philip, Jankuhn, Thomas, Nestler, Michael, Praetorius, Simon, Reusken, Arnold, Voigt, Axel
Publikováno v:
Journal of Numerical Mathematics, 2023
We study the diffusion of tangential tensor-valued data on curved surfaces. For this purpose, several finite-element-based numerical methods are collected and used to solve a tangential surface n-tensor heat flow problem. These methods differ with re
Externí odkaz:
http://arxiv.org/abs/2205.12581
Autor:
Bachini, Elena, Putti, Mario
The Intrinsic Surface Finite Element Method (ISFEM) was recently proposed to solve Partial Differential Equations (PDEs) on surfaces. ISFEM proceeds by writing the PDE with respect to a local coordinate system anchored to the surface and makes direct
Externí odkaz:
http://arxiv.org/abs/2203.07330
We develop a geometrically intrinsic formulation of the arbitrary-order Virtual Element Method (VEM) on polygonal cells for the numerical solution of elliptic surface partial differential equations (PDEs). The PDE is first written in covariant form u
Externí odkaz:
http://arxiv.org/abs/2105.02353
Publikováno v:
In Applied Mathematics and Computation 15 April 2023 443
Publikováno v:
In Environmental Modelling and Software November 2022 157
Akademický článek
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Publikováno v:
In Journal of Computational Physics 1 January 2021 424