Search Results - "Wu, Shuonan"

C0 finite element approximations of linear elliptic equations in non-divergence form and Hamilton–Jacobi–Bellman equations with Cordes coefficients by Wu, Shuonan

“…This paper is concerned with C 0 (non-Lagrange) finite element approximations of the linear elliptic equations in non-divergence form and the…”
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An extended Galerkin analysis for elliptic problems by Hong, Qingguo, Wu, Shuonan, Xu, Jinchao

“…A general analysis framework is presented in this paper for many different types of finite element methods (including various discontinuous Galerkin methods)…”
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A Monotone Discretization for the Fractional Obstacle Problem and Its Improved Policy Iteration by Han, Rubing, Wu, Shuonan, Zhou, Hao

“…In recent years, the fractional Laplacian has attracted the attention of many researchers, the corresponding fractional obstacle problems have been widely…”
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A mathematical model of aortic aneurysm formation by Hao, Wenrui, Gong, Shihua, Wu, Shuonan, Xu, Jinchao, Go, Michael R, Friedman, Avner, Zhu, Dai

“…Abdominal aortic aneurysm (AAA) is a localized enlargement of the abdominal aorta, such that the diameter exceeds 3 cm. The natural history of AAA is…”
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Two Families of $n$-Rectangle Nonconforming Finite Elements for Sixth-Order Elliptic Equations by Wu, Xianlin Jin and Shuonan

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Discontinuous Galerkin methods for magnetic advection-diffusion problems by Wang, Jindong, Wu, Shuonan

“…We devise and analyze a class of the primal discontinuous Galerkin methods for magnetic advection-diffusion problems based on the weighted-residual approach…”
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A C0 finite element approximation of planar oblique derivative problems in non-divergence form by Gao, Guangwei, Wu, Shuonan

“…This paper proposes a C0 (non-Lagrange) primal finite element approximation of the linear elliptic equations in non-divergence form with oblique boundary…”
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A C 0 finite element approximation of planar oblique derivative problems in non-divergence form by Gao, Guangwei, Wu, Shuonan

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A Hybridizable Discontinuous Galerkin Method for Magnetic Advection–Diffusion Problems by Wang, Jindong, Wu, Shuonan

“…We propose and analyze a hybridizable discontinuous Galerkin (HDG) method for solving a mixed magnetic advection–diffusion problem within a more general…”
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Multiphase Allen–Cahn and Cahn–Hilliard models and their discretizations with the effect of pairwise surface tensions by Wu, Shuonan, Xu, Jinchao

“…In this paper, the mathematical properties and numerical discretizations of multiphase models that simulate the phase separation of an N-component mixture are…”
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On the stability and accuracy of partially and fully implicit schemes for phase field modeling by Xu, Jinchao, Li, Yukun, Wu, Shuonan, Bousquet, Arthur

“…We study in this paper the accuracy and stability of partially and fully implicit schemes for phase field modeling. Through theoretical and numerical analysis…”
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Auxiliary Space Preconditioners for a $$C^{0}$$ Finite Element Approximation of Hamilton–Jacobi–Bellman Equations with Cordes Coefficients by Gao, Guangwei, Wu, Shuonan

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Auxiliary Space Preconditioners for a C0 Finite Element Approximation of Hamilton–Jacobi–Bellman Equations with Cordes Coefficients by Gao, Guangwei, Wu, Shuonan

“…In the past decade, there are many works on the finite element methods for the fully nonlinear Hamilton–Jacobi–Bellman (HJB) equations with Cordes condition…”
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Multiphase Allen–Cahn and Cahn–Hilliard models and their discretizations with the effect of pairwise surface tensions by Wu, Shuonan, Xu, Jinchao

“…Not provided…”
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A mixed discontinuous Galerkin method with symmetric stress for Brinkman problem based on the velocity–pseudostress formulation by Qian, Yanxia, Wu, Shuonan, Wang, Fei

“…The Brinkman equations can be regarded as a combination of the Stokes and Darcy equations which model transitions between the fast flow in channels (governed…”
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Nonconforming finite element spaces for $2m$th order partial differential equations on $\mathbb {R}^n$ simplicial grids when $m=n+1 by Wu, Shuonan, Xu, Jinchao

“…Not provided…”
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Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equations with Multiplicative Noise by Li, Yukun, Wu, Shuonan, Xing, Yulong

“…Wave propagation problems have many applications in physics and engineering, and the stochastic effects are important in accurately modeling them due to the…”
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A Mixed Discontinuous Galerkin Method for Linear Elasticity with Strongly Imposed Symmetry by Wang, Fei, Wu, Shuonan, Xu, Jinchao

“…In this paper, we study a mixed discontinuous Galerkin (MDG) method to solve linear elasticity problem with arbitrary order discontinuous finite element spaces…”
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New hybridized mixed methods for linear elasticity and optimal multilevel solvers by Gong, Shihua, Wu, Shuonan, Xu, Jinchao

“…In this paper, we present a family of new mixed finite element methods for linear elasticity for both spatial dimensions n = 2 , 3 , which yields a conforming…”
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A unified study of continuous and discontinuous Galerkin methods by Hong, Qingguo, Wang, Fei, Wu, Shuonan, Xu, Jinchao

“…A unified study is presented in this paper for the design and analysis of different finite element methods (FEMs), including conforming and nonconforming FEMs,…”
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