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03/22/2023
A Numerical Study of Landau Damping with PETSc-PIC
We present a study of the standard plasma physics test, Landau damping, ...
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08/15/2022
Tetrahedralization of a Hexahedral Mesh
Two important classes of three-dimensional elements in computational mes...
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05/06/2022
On the order of accuracy for finite difference approximations of partial differential equations using stencil composition
Stencil composition uses the idea of function composition, wherein two s...
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01/08/2022
Parallel Metric-Based Mesh Adaptation in PETSc using ParMmg
This research note documents the integration of the MPI-parallel metric-...
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03/21/2021
Understanding performance variability in standard and pipelined parallel Krylov solvers
In this work, we collect data from runs of Krylov subspace methods and p...
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04/18/2020
Fully Parallel Mesh I/O using PETSc DMPlex with an Application to Waveform Modeling
Large-scale PDE simulations using high-order finite-element methods on u...
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12/18/2019
PCPATCH: software for the topological construction of multigrid relaxation methods
Effective relaxation methods are necessary for good multigrid convergenc...
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09/03/2018
A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media
We present a new method for approximating solutions to the incompressibl...
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02/21/2018
Comparative study of finite element methods using the Time-Accuracy-Size (TAS) spectrum analysis
We present a performance analysis appropriate for comparing algorithms u...
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02/16/2018
A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media
We present a new method for simulating incompressible immiscible two-pha...
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12/22/2017
An Algorithm for Computing Lipschitz Inner Functions in Kolmogorov's Superposition Theorem
Kolmogorov famously proved that multivariate continuous functions can be...
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10/31/2016
Anisotropic mesh adaptation in Firedrake with PETSc DMPlex
Despite decades of research in this area, mesh adaptation capabilities a...
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07/14/2016
Composing Scalable Nonlinear Algebraic Solvers
Most efficient linear solvers use composable algorithmic components, wit...
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07/14/2016
Finite Element Integration with Quadrature on the GPU
We present a novel, quadrature-based finite element integration method f...
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04/25/2016
