S
Shun Zhang
Researcher at City University of Hong Kong
Publications - 42
Citations - 857
Shun Zhang is an academic researcher from City University of Hong Kong. The author has contributed to research in topics: Finite element method & Estimator. The author has an hindex of 13, co-authored 40 publications receiving 688 citations. Previous affiliations of Shun Zhang include Dalian University of Technology & Purdue University.
Papers
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Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods ∗
TL;DR: Two new algorithms to improve greedy sampling of high-dimensional parametrized functions are proposed, based on a saturation assumption of the error in the greedy algorithm and an algorithm in which the train set for the greedy approach is adaptively sparsified and enriched.
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Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
Zhiqiang Cai,Xiu Ye,Shun Zhang +2 more
TL;DR: A quasi-optimal a priori error estimate is established for interface problems whose solutions are only $H^{1+\alpha}$ smooth with $\alpha\in(0,1)$ and, hence, fill a theoretical gap of the DG method for elliptic problems with low regularity.
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Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements
Zhiqiang Cai,Shun Zhang +1 more
TL;DR: It is shown that the reliability and efficiency constants as well as the convergence rate of the adaptive method are independent of the size of jumps.
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Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
Zhiqiang Cai,Shun Zhang +1 more
TL;DR: This paper extends the idea in [Z.
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Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates
Zhiqiang Cai,Cuiyu He,Shun Zhang +2 more
TL;DR: Both the a priori and the a posteriori error estimates for the Crouzeix--Raviart nonconforming and the discontinuous Galerkin finite element approximations are robust with respect to the diffusion coefficient.