7 citations · 17 across the 7 of their papers we have counts for
7 papers
Derivation and simulation of a two-phase fluid deformable surface model
Elena Bachini, Veit Krause, Ingo Nitschke +1
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 wi…
The interplay of geometry and coarsening in multicomponent lipid vesicles under the influence of hydrodynamics
Elena Bachini, Veit Krause, Axel Voigt
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…
A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data
Eduardo Abreu, Elena Bachini, John Perez +1
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…
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
Elena Bachini, Philip Brandner, Thomas Jankuhn +4
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 tange…
Convergence analysis of the intrinsic surface finite element method
Elena Bachini, Mario Putti
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…
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces
Elena Bachini, Gianmarco Manzini, Mario Putti
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 diffe…
Existence of positive solutions for an approximation of stationary mean-field games
Nojood Almayouf, Elena Bachini, Andreia Chapouto +22
Here, we consider a regularized mean-field game model that features a low-order regularization. We prove the existence of solutions with positive density. To do so, we combine a pr…