7 citations · 17 across the 7 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.NA2022★ 1 cited
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…
math.NA2022★ 3 cited
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…
math.NA2022
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…