Jun Hu

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Ting Lin

J. Sci. Comput., May, 2024

The condition for constructing a finite element from a superspline.

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CoRR, 2024

Mixed Variational Formulation of Coupled Plates.

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CoRR, 2024

A direct finite element method for elliptic interface problems.

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CoRR, 2024

A Fast Solver for Generalized Optimal Transport Problems Based on Dynamical System and Algebraic Multigrid.

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Hao Luo

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Zihang Zhang

J. Sci. Comput., October, 2023

Nonconforming Finite Element Methods of Order Two and Order Three for the Stokes Flow in Three Dimensions.

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Wei Chen

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Min Zhang

J. Sci. Comput., October, 2023

Local Bounded Commuting Projection Operators for Discrete Gradgrad Complexes.

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Ting Lin

CoRR, 2023

Local Bounded Commuting Projection Operator for Discrete de Rham Complexes.

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Ting Lin

CoRR, 2023

Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein-Bianchi System.

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SIAM J. Numer. Anal., 2022

Asymptotic expansions of eigenvalues by both the Crouzeix-Raviart and enriched Crouzeix-Raviart elements.

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Math. Comput., 2022

Preconditioned Legendre Spectral Galerkin Methods for the Non-separable Elliptic Equation.

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Xuhao Diao

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Suna Ma

J. Sci. Comput., 2022

New conforming finite element divdiv complexes in three dimensions.

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CoRR, 2022

Theoretical analysis of the extended cyclic reduction algorithm.

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Xuhao Diao

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Suna Ma

CoRR, 2022

Partially Discontinuous Nodal Finite Elements for H(curl) and H(div).

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Kaibo Hu

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Qian Zhang

Comput. Methods Appl. Math., 2022

New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor.

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Numerische Mathematik, 2021

Conforming discrete Gradgrad-complexes in three dimensions.

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Math. Comput., 2021

An Optimal Multigrid Algorithm for the Combining P1-Q1 Finite Element Approximations of Interface Problems Based on Local Anisotropic Fitting Meshes.

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Hua Wang

J. Sci. Comput., 2021

Partial Relaxation of 𝐶0 Vertex Continuity of Stresses of Conforming Mixed Finite Elements for the Elasticity Problem.

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Comput. Methods Appl. Math., 2021

Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms.

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Comput. Methods Appl. Math., 2021

Sino-German Computational and Applied Mathematics.

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Comput. Methods Appl. Math., 2021

Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements.

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Adv. Comput. Math., 2021

Asymptotically Exact A Posteriori Error Estimates of Eigenvalues by the Crouzeix-Raviart Element and Enriched Crouzeix-Raviart Element.

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SIAM J. Sci. Comput., 2020

An Extended Galerkin Analysis for Linear Elasticity with Strongly Symmetric Stress Tensor.

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CoRR, 2020

Nodal finite element de Rham complexes.

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Snorre H. Christiansen

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Kaibo Hu

Numerische Mathematik, 2018

Fast auxiliary space preconditioners for linear elasticity in mixed form.

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Long Chen

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,

Xuehai Huang

Math. Comput., 2018

A Penalized Crouzeix-Raviart Element Method for Second Order Elliptic Eigenvalue Problems.

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J. Sci. Comput., 2018

Multigrid Methods for Hellan-Herrmann-Johnson Mixed Method of Kirchhoff Plate Bending Problems.

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Long Chen

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Xuehai Huang

J. Sci. Comput., 2018

Stabilized Mixed Finite Element Methods for Linear Elasticity on Simplicial Grids inℝn.

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Long Chen

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Xuehai Huang

Comput. Methods Appl. Math., 2017

Superconvergence of both the Crouzeix-Raviart and Morley elements.

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Numerische Mathematik, 2016

Capacity of the Adini Element for Biharmonic Equations.

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Xueqin Yang

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Shuo Zhang

J. Sci. Comput., 2016

Guaranteed Lower Bounds for Eigenvalues of Elliptic Operators.

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J. Sci. Comput., 2016

Chinese-German Computational and Applied Mathematics.

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Comput. Methods Appl. Math., 2016

The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on n-rectangular grids.

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Comput. Math. Appl., 2016

Superconvergence of three dimensional Morley elements on cuboid meshes for biharmonic equations.

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Xueqin Yang

Adv. Comput. Math., 2016

Constructing both lower and upper bounds for the eigenvalues of elliptic operators by nonconforming finite element methods.

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Quan Shen

Numerische Mathematik, 2015

The minimal conforming Hk finite element spaces on Rn rectangular grids.

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Shangyou Zhang

Math. Comput., 2015

The Enriched Crouzeix-Raviart Elements are Equivalent to the Raviart-Thomas Elements.

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J. Sci. Comput., 2015

An Optimal Adaptive Finite Element Method for an Obstacle Problem.

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Comput. Methods Appl. Math., 2015

A robust prolongation operator for non-nested finite element methods.

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Comput. Math. Appl., 2015

A Simple Conforming Mixed Finite Element for Linear Elasticity on Rectangular Grids in Any Space Dimension.

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Hongying Man

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Shangyou Zhang

J. Sci. Comput., 2014

The Lower/Upper Bound Property of Approximate Eigenvalues by Nonconforming Finite Element Methods for Elliptic Operators.

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Quan Shen

J. Sci. Comput., 2014

Lower Bounds for Eigenvalues of Elliptic Operators: By Nonconforming Finite Element Methods.

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Qun Lin

J. Sci. Comput., 2014

New a posteriori error estimate and quasi-optimal convergence of the adaptive nonconforming Wilson element.

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Longlong Jiang

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J. Comput. Appl. Math., 2014

A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes.

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Dietmar Gallistl

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Comput. Math. Appl., 2014

A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles.

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Dietmar Gallistl

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Numerische Mathematik, 2013

Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem.

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Jinchao Xu

J. Sci. Comput., 2013

Convergence and optimality of the adaptive Morley element method.

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Jinchao Xu

Numerische Mathematik, 2012

A High Accuracy Post-processing Algorithm for the Eigenvalues of Elliptic Operators.

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Quan Shen

J. Sci. Comput., 2012

The Lowest Order Differentiable Finite Element on Rectangular Grids.

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Shangyou Zhang

SIAM J. Numer. Anal., 2011

A Posteriori Error Analysis of Finite Element Methods for Reissner-Mindlin Plates.

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SIAM J. Numer. Anal., 2010

A new a posteriori error estimate for the Morley element.

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Numerische Mathematik, 2009

Analysis for quadrilateral MITC elements for the Reissner-Mindlin plate problem.

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Math. Comput., 2009

A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates.

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Math. Comput., 2008

Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity.

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SIAM J. Numer. Anal., 2007

Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements.

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Antonio Orlando

SIAM J. Numer. Anal., 2007

A unifying theory of a posteriori error control for nonconforming finite element methods.

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