1 citations · 3 across the 8 of their papers we have counts for
9 papers
High-Probability Regret Bounds for Feel-Good Thompson Sampling
Xuheng Li, Qingyue Zhao, Quanquan Gu
Feel-good Thompson sampling (FGTS) augments the posterior of vanilla Thompson sampling with an exploration term that favors reward functions with high predicted optimal values. Thi…
Morley element for the linear strain gradient elasticity problem
Xiao Li, Shudan Tian, Hua Wang
We establish a discrete -Korn inequality for finite element spaces satisfying a second order weak continuity condition. This implies that classical -nonconforming element…
Symmetric Taylor--Hood elements for the linear stress gradient problem
Jun Hu, Ting Lin, Shudan Tian +1
We develop mixed finite element methods for the linear stress-gradient elasticity problem based on symmetric Taylor--Hood elements. We establish the stability of the symmetric Tayl…
Hybridizable Staggered Discontinuous Galerkin Methods for Polyharmonic Equations on Polytopes
Long Chen, Xuehai Huang, Yule Sun +1
Hybridizable staggered discontinuous Galerkin methods are developed for arbitrary-order polyharmonic equations on shape-regular polytopal meshes in , for…
Mixed Finite element method for stress gradient elasticity
Ting Lin, Shudan Tian
This paper develops stable finite element pairs for the linear stress gradient elasticity model, overcoming classical elasticity's limitations in capturing size effects. We analyze…
A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators
Dietmar Gallistl, Shudan Tian
For the pure biharmonic equation and a biharmonic singular perturbation problem, a residual-based error estimator is introduced which applies to many existing nonconforming finite…
Continuous finite elements satisfying a strong discrete Miranda--Talenti identity
Dietmar Gallistl, Shudan Tian
This article introduces continuous -nonconforming finite elements in two and three space dimensions which satisfy a strong discrete Miranda--Talenti inequality in the sense th…
New Fourth Order Postprocessing Techniques for Plate Bending Eigenvalues by Morley Element
Limin Ma, Shudan Tian
In this paper, we propose and analyze the extrapolation method and asymptotically exact a posterior error estimate for eigenvalues of the Morley element. We establish an asymptotic…
3D -nonconforming tetrahedral finite elements for the biharmonic equation
Jun Hu, Shudan Tian, Shangyou Zhang
In this article, a family of -nonconforming finite elements on tetrahedral grids is constructed for solving the biharmonic equation in 3D. In the family, the polynomi…