3 papers
math.NA2026
Implicit-Explicit Scheme with Multiscale Vanka Two-Grid Solver for Heterogeneous Unsaturated Poroelasticity
Maria Vasilyeva, Ben S. Southworth, Yunhui He +1
We consider a coupled nonlinear system of equations that describe unsaturated flow in heterogeneous poroelastic media. For the numerical solution, we use a finite element approxima…
math.NA2025
Multiscale Graph Reduction for Heterogeneous and Anisotropic Discrete Diffusion Processes
Maria Vasilyeva, James Brannick, Ben S. Southworth
We present multiscale graph-based reduction algorithms for upscaling heterogeneous and anisotropic diffusion problems. The proposed coarsening approaches begin by constructing a pa…
math.NA2024
Multiscale approximation and two-grid preconditioner for extremely anisotropic heat flow
Maria Vasilyeva, Golo A. Wimmer, Ben S. Southworth
We consider anisotropic heat flow with extreme anisotropy, as arises in magnetized plasmas for fusion applications. Such problems pose significant challenges in both obtaining an a…