Schwarz methods by domain truncation

MJ Gander, H Zhang - Acta Numerica, 2022 - search.proquest.com
Schwarz methods use a decomposition of the computational domain into subdomains and
need to impose boundary conditions on the subdomain boundaries. In domain truncation …

[PDF][PDF] hp3D user manual

S Henneking, L Demkowicz - arXiv preprint arXiv:2207.12211, 2022 - arxiv.org
hp3D User Manual Page 1 hp3D User Manual Stefan Henneking Leszek Demkowicz Oden
Institute for Computational Engineering and Sciences The University of Texas at Austin Austin …

Parallel simulations of high-power optical fiber amplifiers

S Henneking, J Grosek, L Demkowicz - … and High Order Methods for Partial …, 2022 - Springer
This contribution presents numerical results of large-scale finite element simulations for a
unique 3D fiber amplifier model. The nonlinear laser amplification model is based on the full …

[PDF][PDF] : A Scalable MPI/OpenMP -Adaptive Finite Element Software Library for Complex Multiphysics Applications

S Henneking, S Petrides, F Fuentes… - Journal of Open …, 2024 - joss.theoj.org
The ℎ𝑝3D finite element (FE) library is a tool for computational modeling of engineering
applications. The library provides a framework for discretization of three-dimensional 1 …

Combining DPG in space with DPG time-marching scheme for the transient advection–reaction equation

J Munoz-Matute, L Demkowicz, NV Roberts - Computer Methods in Applied …, 2022 - Elsevier
In this article, we present a general methodology to combine the Discontinuous Petrov–
Galerkin (DPG) method in space and time in the context of methods of lines for transient …

Scalable DPG multigrid solver for Helmholtz problems: A study on convergence

J Badger, S Henneking, S Petrides… - Computers & Mathematics …, 2023 - Elsevier
This paper presents a scalable multigrid preconditioner targeting large-scale systems
arising from discontinuous Petrov–Galerkin (DPG) discretizations of high-frequency wave …

A scalable hp-adaptive finite element software with applications in fiber optics

SKW Henneking - 2021 - repositories.lib.utexas.edu
In this dissertation, we present a scalable parallel version of hp3D—a finite element (FE)
software for analysis and discretization of complex three-dimensional multiphysics …

High-performance finite elements with MFEM

J Andrej, N Atallah, JP Bäcker… - … Journal of High …, 2024 - journals.sagepub.com
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 …

An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations

A Chakraborty, S Henneking, L Demkowicz - Computers & Mathematics …, 2024 - Elsevier
In this article, we present a three-dimensional anisotropic hp-mesh refinement strategy for
ultraweak discontinuous Petrov–Galerkin (DPG) formulations with optimal test functions. The …

High‐order multigrid strategies for hybrid high‐order discretizations of elliptic equations

DA Di Pietro, P Matalon, P Mycek… - … Linear Algebra with …, 2023 - Wiley Online Library
This study compares various multigrid strategies for the fast solution of elliptic equations
discretized by the hybrid high‐order method. Combinations of hh‐, pp‐, and hp hp …