research
∙
08/04/2023
Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions
In many applications, piecewise continuous functions are commonly interp...
share
research
∙
04/26/2023
Preserving Superconvergence of Spectral Elements for Curved Domains via h and p-Geometric Refinement
Spectral element methods (SEM), which are extensions of finite element m...
research
∙
03/07/2023
Optimal Solutions of Well-Posed Linear Systems via Low-Precision Right-Preconditioned GMRES with Forward and Backward Stabilization
Linear systems in applications are typically well-posed, and yet the coe...
research
∙
01/01/2022
ARPIST: Provably Accurate and Stable Numerical Integration over Spherical Triangles
Abstract Numerical integration on spheres, including the computation of ...
research
∙
06/18/2021
HIFIR: Hybrid Incomplete Factorization with Iterative Refinement for Preconditioning Ill-conditioned and Singular Systems
We introduce a software package called HIFIR for preconditioning sparse,...
research
∙
12/23/2020
Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs
Runge-Kutta (RK) schemes, especially Gauss-Legendre and some other fully...
research
∙
11/14/2020
Robust and Efficient Multilevel-ILU Preconditioned Newton-GMRES for Incompressible Navier-Stokes
We introduce a new preconditioned Newton-GMRES method for solving the no...
research
∙
09/02/2020
Approximate Generalized Inverses with Iterative Refinement for ε-Accurate Preconditioning of Singular Systems
We introduce a new class of preconditioners to enable flexible GMRES to ...
research
∙
11/30/2019
WLS-ENO Remap: Superconvergent and Non-Oscillatory Weighted Least Squares Data Transfer on Surfaces
Data remap between non-matching meshes is a critical step in multiphysic...
research
∙
11/22/2019
HILUCSI: Simple, Robust, and Fast Multilevel ILU for Large-Scale Saddle-Point Problems from PDEs
Incomplete factorization is a widely used preconditioning technique for ...
research
∙
11/22/2019