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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.NA2023
An Incremental SVD Method for Non-Fickian Flows in Porous Media: Addressing Storage and Computational Challenges
Gang Chen, Yangwen Zhang, Dujin Zuo
It is well known that the numerical solution of the Non-Fickian flows at the current stage depends on all previous time instances. Consequently, the storage requirement increases l…