456 citations · 639 across the 19 of their papers we have counts for
4 papers · 2 filters
DSA Preconditioning for DG discretizations of transport and High-Order curved meshes
T. S. Haut, B. S. Southworth, P. G. Maginot +1
This paper derives and analyzes new diffusion synthetic acceleration (DSA) preconditioners for the SN transport equation when discretized with a high-order (HO) discontinuous Galer…
An Efficient Sweep-based Solver for the Equations on High-Order Meshes
T. S. Haut, P. G. Maginot, V. Z. Tomov +3
We propose a graph-based sweep algorithm for solving the steady state, mono-energetic discrete ordinates on meshes of high-order curved mesh elements. Our spatial discretization co…
The Target-Matrix Optimization Paradigm for High-Order Meshes
Veselin Dobrev, Patrick Knupp, Tzanio Kolev +2
We describe a framework for controlling and improving the quality of high-order finite element meshes based on extensions of the Target-Matrix Optimization Paradigm (TMOP) of Knupp…
Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning
Veselin A. Dobrev, Tzanio V. Kolev, Chak S. Lee +2
We propose an unified algebraic approach for static condensation and hybridization, two popular techniques in finite element discretizations. The algebraic approach is supported by…