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math.NA2026
A superconvergent hybridizable discontinuous Galerkin method for the convective Cahn--Hilliard equation
Gang Chen, Daozhi Han, Jiaxuan Liu +2
We propose a hybridizable discontinuous Galerkin (HDG) method combined with convex-concave splitting for the temporal discretization of the convective Cahn-Hilliard equation. The c…
math.NA2026
Incremental SVD Compression for Nonlinear Oldroyd Equations with General Memory Kernels
Gang Chen, Yangwen Zhang, Dujin Zuo
We study mixed finite element/Crank--Nicolson discretizations of a nonlinear Oldroyd problem with general nonsingular and weakly singular memory kernels. Direct evaluation of the h…
math.NA2026
Pressure-Robust -Conforming HDG Methods for the Steady Stokes Equations with an Application to Tangential Boundary Control
Gang Chen, Wenyi Liu, Yangwen Zhang
We develop a family of -conforming hybridizable discontinuous Galerkin methods for the steady Stokes equations based on BDM and RT velocity spaces with either disc…