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math.NA2026
An Interface Green's Function Framework for Complete Discrete Analysis of Discontinuous Galerkin Methods
Haitao Leng, Weifeng Qiu
Pointwise error analysis of discontinuous Galerkin (DG) methods for the Poisson equation has received considerable attention during the past two decades. However, on convex polyhed…
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.NA2020
Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems
Haitao Leng, Yanping Chen
We study a posteriori error analysis of linear-quadratic boundary control problems under bilateral box constraints on the control which acts through a Neumann type boundary conditi…