456 citations · 971 across the 29 of their papers we have counts for
29 papers
The high-order finite element Duffy de Rham complex and low-order-refined preconditioning
Will Pazner
In this work, we construct high-order finite element spaces for the de Rham complex on triangular meshes amenable to low-order-refined preconditioning. The spaces are constru…
Finite element analysis of very large bone models based on micro-CT scans
Shani Martinez-Weissberg, Will Pazner, Zohar Yosibash
High-resolution voxel-based micro-finite element (FE) models derived from CT imaging enable detailed investigation of bone mechanics but remain computationally challenging at…
Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in
Will Pazner
In this paper, we construct and analyze preconditioners for the interior penalty discontinuous Galerkin discretization posed in the space . These discretizations a…
High-performance finite elements with MFEM
Julian Andrej, Nabil Atallah, Jan-Phillip Bäcker +15
The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and i…
Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation
Guosheng Fu, Stanley Osher, Will Pazner +1
We design and compute a class of optimal control problems for reaction-diffusion systems. They form mean field control problems related to multi-density reaction-diffusion systems.…
Matrix-free GPU-accelerated saddle-point solvers for high-order problems in
Will Pazner, Tzanio Kolev, Panayot Vassilevski
This work describes the development of matrix-free GPU-accelerated solvers for high-order finite element problems in . The solvers are applicable to grad-div and D…