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math.NA2026
A unified analysis of maximum-norm estimates for a class of HDG methods for parabolic problem in polyhedral domains
Huangxin Chen, Haitao Leng, Weifeng Qiu
This paper studies a general class of semi-discrete hybridizable discontinuous Galerkin (HDG) methods, including mixed methods, for parabolic problems in nonconvex polygonal and po…
math.NA2023
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra
Buyang Li, Weifeng Qiu, Yupei Xie +1
The weak maximum principle of the isoparametric finite element method is proved for the Poisson equation under the Dirichlet boundary condition in a (possibly concave) curvilinear…
math.NA2023
A Non-gradient DG method for second-order Elliptic Equations in the Non-divergence Form
Weifeng Qiu, Jin Ren, Ke Shi +1
based optimization is widely used in image denoising, machine learning and related applications. One of the main features of such approach is that it naturally provide a spar…