1 citations · 2 across the 2 of their papers we have counts for
9 papers
HAZniCS -- Software Components for Multiphysics Problems
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta +2
We introduce the software toolbox HAZniCS for solving interface-coupled multiphysics problems. HAZniCS is a suite of modules that combines the well-known FEniCS framework for finit…
A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations
James H. Adler, Casey Cavanaugh, Xiaozhe Hu +1
Maxwell's equations are a system of partial differential equations that govern the laws of electromagnetic induction. We study a mimetic finite-difference (MFD) discretization of t…
Fast auxiliary space preconditioners on surfaces
Yuwen Li
This work presents uniform preconditioners for the discrete Laplace--Beltrami operator on hypersurfaces. In particular, within the framework of fast auxiliary space preconditioning…
On the unisolvence for the quasi-polynomial spaces of differential forms
Shuonan Wu, Ludmil T. Zikatanov
We consider quasi-polynomial spaces of differential forms defined as weighted (with a positive weight) spaces of differential forms with polynomial coefficients. We show that the u…
A posteriori error estimates of finite element methods by preconditioning
Yuwen Li, Ludmil Zikatanov
We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods…
Discrete Trace Theorems and Energy Minimizing Spring Embeddings of Planar Graphs
John C. Urschel, Ludmil T. Zikatanov
Tutte's spring embedding theorem states that, for a three-connected planar graph, if the outer face of the graph is fixed as the complement of some convex region in the plane, and…