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math.NA2023
Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions
Yipeng Li, Qiao Chen, Xiangmin Jiao
In many applications, piecewise continuous functions are commonly interpolated over meshes. However, accurate high-order manipulations of such functions can be challenging due to p…
math.NA2023
Preserving Superconvergence of Spectral Elements for Curved Domains via and -Geometric Refinement
Jacob Jones, Rebecca Conley, Xiangmin Jiao
Spectral element methods (SEM), which are extensions of finite element methods (FEM), are important emerging techniques for solving partial differential equations in physics and en…
math.NA2023
Optimal Solutions of Well-Posed Linear Systems via Low-Precision Right-Preconditioned GMRES with Forward and Backward Stabilization
Xiangmin Jiao
Linear systems in applications are typically well-posed, and yet the coefficient matrices may be nearly singular in that the condition number may be close to $1…