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New artificial tangential motions for parametric finite element approximation of surface evolution
A new class of parametric finite element methods, with a new type of artificial tangential
velocity constructed at the continuous level, is proposed for solving surface evolution under …
velocity constructed at the continuous level, is proposed for solving surface evolution under …
A unified theory for continuous-in-time evolving finite element space approximations to partial differential equations in evolving domains
We develop a unified theory for continuous-in-time finite element discretizations of partial
differential equations posed in evolving domains, including the consideration of equations …
differential equations posed in evolving domains, including the consideration of equations …
Tangential Navier–Stokes equations on evolving surfaces: analysis and simulations
The paper considers a system of equations that models a lateral flow of a Boussinesq–
Scriven fluid on a passively evolving surface embedded in ℝ 3. For the resulting Navier …
Scriven fluid on a passively evolving surface embedded in ℝ 3. For the resulting Navier …
An adaptive time-step** method for the binary fluid-surfactant phase field model on evolving surfaces
S Huang, X **ao, X Feng - Journal of Scientific Computing, 2023 - Springer
In this paper, the binary fluid-surfactant phase field model on evolving surfaces is presented
and numerically studied for interfacial sciences. Based on the evolving surface finite element …
and numerically studied for interfacial sciences. Based on the evolving surface finite element …
A finite element method for the surface Stokes problem
We consider a Stokes problem posed on a 2D surface embedded in a 3D domain. The
equations describe an equilibrium, area-preserving tangential flow of a viscous surface fluid …
equations describe an equilibrium, area-preserving tangential flow of a viscous surface fluid …