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2020 – today
- 2024
[j73]Xiu Ye, Shangyou Zhang
:
Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations. Adv. Comput. Math. 50(1): 2 (2024)- [j72]Ziqing Xie, Shangyou Zhang:
On an accurate numerical integration for the triangular and tetrahedral spectral finite elements. Adv. Comput. Math. 50(4): 63 (2024) - [j71]Xiu Ye, Shangyou Zhang:
An H-div finite element method for the Stokes equations on polytopal meshes. Comput. Appl. Math. 43(4): 184 (2024) - [j70]Xuejun Xu, Shangyou Zhang:
A 𝐶1-𝑃7 Bell Finite Element on Triangle. Comput. Methods Appl. Math. 24(4): 995-1000 (2024) - [j69]Shangyou Zhang:
Three Low Order H-Curl-Curl Finite Elements on Triangular Meshes. Comput. Methods Appl. Math. 24(4): 1021- (2024) - [j68]Xiu Ye, Shangyou Zhang:
Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes. J. Comput. Appl. Math. 440: 115516 (2024) - [j67]Dan Li, Chunmei Wang, Junping Wang, Shangyou Zhang:
High order Morley elements for biharmonic equations on polytopal partitions. J. Comput. Appl. Math. 443: 115757 (2024) - [j66]Yuping Zeng, Liuqiang Zhong, Feng Wang, Shangyou Zhang, Mingchao Cai:
A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach. J. Comput. Appl. Math. 445: 115819 (2024) - [j65]Yuping Zeng, Liuqiang Zhong, Feng Wang, Shangyou Zhang, Mingchao Cai:
Corrigendum to "A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach" [Journal of Computational and Applied Mathematics 445 (2024) 115819]. J. Comput. Appl. Math. 447: 115892 (2024) - [j64]Chunmei Wang, Xiu Ye, Shangyou Zhang:
A modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes. J. Comput. Appl. Math. 448: 115918 (2024) - [j63]Dan Li, Chunmei Wang, Shangyou Zhang:
Weak Galerkin methods for elliptic interface problems on curved polygonal partitions. J. Comput. Appl. Math. 450: 115995 (2024) - [j62]Yuping Zeng, Liuqiang Zhong, Feng Wang, Mingchao Cai, Shangyou Zhang:
Low regularity error analysis for an H(div)-conforming discontinuous Galerkin approximation of Stokes problem. J. Comput. Appl. Math. 451: 116118 (2024) - [j61]Chunmei Wang, Junping Wang, Shangyou Zhang:
Weak Galerkin finite element methods for optimal control problems governed by second order elliptic equations. J. Comput. Appl. Math. 452: 115982 (2024) - [j60]Liwei Xu, Xuejun Xu, Shangyou Zhang:
A Modified Rotated-Q1 Finite Element for the Stokes Equations on Quadrilateral and Hexahedral Meshes. J. Sci. Comput. 99(1): 11 (2024) - [j59]Yuping Zeng, Liuqiang Zhong, Mingchao Cai, Feng Wang, Shangyou Zhang:
Conforming and Nonconforming Virtual Element Methods for Signorini Problems. J. Sci. Comput. 100(1): 18 (2024) - [i39]Duk-Soon Oh, Shangyou Zhang:
New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains. CoRR abs/2404.11986 (2024) - [i38]Ran Zhang, Shangyou Zhang:
Convergent finite elements on arbitrary meshes, the WG method. CoRR abs/2407.19382 (2024) - [i37]Xuejun Xu, Shangyou Zhang:
A nonconforming P3 and discontinuous P2 mixed finite element on tetrahedral grids. CoRR abs/2408.10226 (2024) - [i36]Shangyou Zhang:
A nonconforming P2 and discontinuous P1 mixed finite element on tetrahedral grids. CoRR abs/2408.10227 (2024) - 2023
- [j58]Chunmei Wang, Shangyou Zhang:
A weak Galerkin method for elasticity interface problems. J. Comput. Appl. Math. 419: 114726 (2023) - [j57]Xiuli Wang, Xianglong Meng, Shangyou Zhang, Huifang Zhou:
A modified weak Galerkin finite element method for the linear elasticity problem in mixed form. J. Comput. Appl. Math. 420: 114743 (2023) - [j56]Chunmei Wang, Junping Wang, Shangyou Zhang:
Weak Galerkin finite element methods for quad-curl problems. J. Comput. Appl. Math. 428: 115186 (2023) - [j55]Junping Wang, Xiu Ye, Shangyou Zhang:
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions. J. Num. Math. 31(2): 125-136 (2023) - [j54]Shangyou Zhang:
A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow. J. Num. Math. 31(3): 157-174 (2023) - [i35]Qigang Liang, Xuejun Xu, Shangyou Zhang:
On a Sharp Estimate of Overlapping Schwarz Methods in H(curl;Ω) and H(div;Ω). CoRR abs/2304.10026 (2023) - [i34]Dan Li, Chunmei Wang, Junping Wang, Shangyou Zhang:
High Order Morley Elements for Biharmonic Equations on Polytopal Partitions. CoRR abs/2306.14081 (2023) - [i33]Gang Chen, Lu Zhang, Shangyou Zhang:
Locking-free HDG methods for Reissner-Mindlin plates equations on polygonal meshes. CoRR abs/2307.07387 (2023) - [i32]Chunmei Wang, Xiu Ye, Shangyou Zhang:
A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes. CoRR abs/2308.02873 (2023) - [i31]Xuejun Xu, Shangyou Zhang:
A family of stabilizer-free virtual elements on triangular meshes. CoRR abs/2309.09660 (2023) - [i30]Yanping Lin, Mo Mu, Shangyou Zhang:
Stabilizer-free polygonal and polyhedral virtual elements. CoRR abs/2309.10250 (2023) - [i29]Chunmei Wang, Junping Wang, Shangyou Zhang:
Weak Galerkin Finite Element Methods for Optimal Control Problems Governed by Second Order Elliptic Partial Differential Equations. CoRR abs/2310.01373 (2023) - [i28]Dan Li, Chunmei Wang, Shangyou Zhang:
Weak Galerkin methods for elliptic interface problems on curved polygonal partitions. CoRR abs/2310.07009 (2023) - [i27]Yanping Lin, Xuejun Xu, Shangyou Zhang:
Superconvergent P1 honeycomb virtual elements and lifted P3 solutions. CoRR abs/2311.06502 (2023) - 2022
- [j53]Xiaoshen Wang, Xiu Ye, Shangyou Zhang, Peng Zhu:
A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation. J. Comput. Appl. Math. 401: 113767 (2022) - [j52]Xiu Ye, Shangyou Zhang, Peng Zhu:
Development of a LDG method on polytopal mesh with optimal order of convergence. J. Comput. Appl. Math. 410: 114179 (2022) - [j51]Tie Zhang, Shangyou Zhang:
An explicit weak Galerkin method for solving the first order hyperbolic systems. J. Comput. Appl. Math. 412: 114311 (2022) - [j50]Xiu Ye, Shangyou Zhang:
A C0-conforming DG finite element method for biharmonic equations on triangle/tetrahedron. J. Num. Math. 30(3): 163-172 (2022) - [j49]Tatyana Sorokina, Shangyou Zhang:
An Interpolated Galerkin Finite Element Method for the Poisson Equation. J. Sci. Comput. 92(2): 47 (2022) - [i26]Shangyou Zhang:
The nodal basis of Cm-Pk3 and Cm-Pk4 finite elements on tetrahedral and 4D simplicial grids. CoRR abs/2202.05837 (2022) - [i25]Chunmei Wang, Junping Wang, Shangyou Zhang:
A parallel iterative procedure for weak Galerkin methods for second order elliptic problems. CoRR abs/2204.04830 (2022) - [i24]Chunmei Wang, Junping Wang, Shangyou Zhang:
Weak Galerkin Finite Element Methods for Quad-Curl Problems. CoRR abs/2210.16612 (2022) - 2021
- [j48]Xiu Ye, Shangyou Zhang:
A stabilizer-free pressure-robust finite element method for the Stokes equations. Adv. Comput. Math. 47(2): 28 (2021) - [j47]Xiu Ye, Shangyou Zhang:
A Pk+2 polynomial lifting operator on polygons and polyhedrons. Appl. Math. Lett. 116: 107033 (2021) - [j46]Xiu Ye, Shangyou Zhang:
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II. J. Comput. Appl. Math. 394: 113525 (2021) - [j45]Xiu Ye, Shangyou Zhang:
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III. J. Comput. Appl. Math. 394: 113538 (2021) - [j44]Chunmei Wang, Junping Wang, Xiu Ye, Shangyou Zhang:
de Rham complexes for weak Galerkin finite element spaces. J. Comput. Appl. Math. 397: 113645 (2021) - [j43]Lin Mu, Xiu Ye, Shangyou Zhang:
Development of Pressure-Robust Discontinuous Galerkin Finite Element Methods for the Stokes Problem. J. Sci. Comput. 89(1): 26 (2021) - [j42]Xiaoshen Wang, Xiu Ye, Shangyou Zhang:
Weak Galerkin finite element methods with or without stabilizers. Numer. Algorithms 88(3): 1361-1381 (2021) - [j41]Lin Mu, Xiu Ye, Shangyou Zhang:
A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh. SIAM J. Sci. Comput. 43(4): A2614-A2637 (2021) - [i23]Hui Peng, Qilong Zhai, Ran Zhang, Shangyou Zhang:
A weak Galerkin-mixed finite element method for the Stokes-Darcy problem. CoRR abs/2103.00411 (2021) - [i22]Chunmei Wang, Shangyou Zhang:
A Weak Galerkin Method for Elasticity Interface Problems. CoRR abs/2112.06411 (2021) - 2020
- [j40]Yin Yang, Jindi Wang, Shangyou Zhang, Emran Tohidi:
Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. Appl. Math. Comput. 387: 124489 (2020) - [j39]Xiu Ye, Shangyou Zhang, Zhimin Zhang:
A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes. Comput. Math. Appl. 80(5): 906-916 (2020) - [j38]Xiu Ye, Shangyou Zhang, Zhimin Zhang:
A new P1 weak Galerkin method for the Biharmonic equation. J. Comput. Appl. Math. 364 (2020) - [j37]Tie Zhang, Shangyou Zhang:
The weak Galerkin finite element method for the symmetric hyperbolic systems. J. Comput. Appl. Math. 365 (2020) - [j36]Xiu Ye, Shangyou Zhang, Peng Zhu:
A discontinuous Galerkin least-squares method for div-curl systems. J. Comput. Appl. Math. 367 (2020) - [j35]Xiu Ye, Shangyou Zhang:
A stabilizer-free weak Galerkin finite element method on polytopal meshes. J. Comput. Appl. Math. 371: 112699 (2020) - [j34]Qilong Zhai, Tian Tian, Ran Zhang, Shangyou Zhang:
A symmetric weak Galerkin method for solving non-divergence form elliptic equations. J. Comput. Appl. Math. 372: 112693 (2020) - [j33]Tie Zhang, Shangyou Zhang:
The weak Galerkin finite element method for the transport-reaction equation. J. Comput. Phys. 410: 109399 (2020) - [j32]Ming Cui, Shangyou Zhang:
On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation. J. Sci. Comput. 82(1): 5 (2020) - [j31]Xiu Ye, Shangyou Zhang:
A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes. SIAM J. Numer. Anal. 58(5): 2572-2588 (2020) - [i21]Ahmed Al-Taweel, Xiaoshen Wang, Xiu Ye, Shangyou Zhang:
A stabilizer free weak Galerkin element method with supercloseness of order two. CoRR abs/2004.11192 (2020) - [i20]Xiu Ye, Shangyou Zhang:
Numerical investigation on weak Galerkin finite elements. CoRR abs/2004.12483 (2020) - [i19]Xiu Ye, Shangyou Zhang:
A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction. CoRR abs/2004.13019 (2020) - [i18]Chunmei Wang, Junping Wang, Xiu Ye, Shangyou Zhang:
De Rham Complexes for Weak Galerkin Finite Element Spaces. CoRR abs/2004.13817 (2020) - [i17]Xiu Ye, Shangyou Zhang:
A stabilizer-free pressure-robust finite element method for the Stokes equations. CoRR abs/2006.11853 (2020) - [i16]Xiu Ye, Shangyou Zhang:
A conforming discontinuous Galerkin finite element method for the Stokes problem on polytopal meshes. CoRR abs/2007.01161 (2020) - [i15]Xiu Ye, Shangyou Zhang:
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II. CoRR abs/2008.13631 (2020) - [i14]Yanping Lin, Xiu Ye, Shangyou Zhang:
A mixed finite element method on polytopal mesh. CoRR abs/2009.05363 (2020) - [i13]Xiu Ye, Shangyou Zhang:
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III. CoRR abs/2009.08536 (2020) - [i12]Xiu Ye, Shangyou Zhang:
A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh. CoRR abs/2009.12226 (2020) - [i11]Xiu Ye, Shangyou Zhang:
A Pk+2 polynomial lifting operator on polygons and polyhedrons. CoRR abs/2009.13604 (2020) - [i10]Tatyana Sorokina, Shangyou Zhang:
An interpolated Galerkin finite element method for the Poisson equation. CoRR abs/2010.01460 (2020) - [i9]Lin Mu, Xiu Ye, Shangyou Zhang:
A stabilizer free, pressure robust, and superconvergence weak Galerkin finite element method for the Stokes Equations on polytopal mesh. CoRR abs/2011.01458 (2020) - [i8]Tie Zhang, Shangyou Zhang:
The Weak Galerkin Finite Element Method for the Symmetric Hyperbolic Systems. CoRR abs/2011.11196 (2020) - [i7]Tie Zhang, Shangyou Zhang:
The Weak Galerkin Finite Element Method for the Transport-Reaction Equation. CoRR abs/2011.11861 (2020)
2010 – 2019
- 2019
- [j30]Yin Yang, Wanying Qiao, Jindi Wang, Shangyou Zhang:
Spectral collocation methods for nonlinear coupled time fractional Nernst-Planck equations in two dimensions and its convergence analysis. Comput. Math. Appl. 78(5): 1431-1449 (2019) - [j29]Xiu Ye, Shangyou Zhang:
A discontinuous least-squares finite-element method for second-order elliptic equations. Int. J. Comput. Math. 96(3): 557-567 (2019) - [j28]Yunqing Huang, Jichun Li, Shangyou Zhang:
Continuous mixed finite elements for the second order elliptic equation with a low order term. J. Comput. Appl. Math. 357: 273-283 (2019) - [j27]Huo-Yuan Duan, Wei Liu, Junhua Ma, Roger C. E. Tan, Shangyou Zhang:
A family of optimal Lagrange elements for Maxwell's equations. J. Comput. Appl. Math. 358: 241-265 (2019) - [j26]Junping Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang:
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Math. Comput. 88(315): 211-235 (2019) - [j25]Huo-Yuan Duan, Zhijie Du, Wei Liu, Shangyou Zhang:
New Mixed Elements for Maxwell Equations. SIAM J. Numer. Anal. 57(1): 320-354 (2019) - [j24]Jun Hu, Shangyou Zhang, Zhimin Zhang:
On the 2pth-Order of Convergence of the Galerkin Difference Method. SIAM J. Numer. Anal. 57(5): 2189-2199 (2019) - [i6]Xiu Ye, Shangyou Zhang:
On stabilizer-free weak Galerkin finite element methods on polytopal meshes. CoRR abs/1906.06634 (2019) - [i5]Xiu Ye, Shangyou Zhang:
A conforming discontinuous Galerkin finite element method: Part II. CoRR abs/1907.01397 (2019) - [i4]Xiu Ye, Shangyou Zhang:
A stabilizer free weak Galerkin method for the Biharmonic Equation on Polytopal Meshes. CoRR abs/1907.09413 (2019) - [i3]Xiu Ye, Shangyou Zhang:
A conforming DG method for the biharmonic equation on polytopal meshes. CoRR abs/1907.10661 (2019) - [i2]Jun Hu, Shudan Tian, Shangyou Zhang:
3D H2-nonconforming tetrahedral finite elements for the biharmonic equation. CoRR abs/1909.08178 (2019) - [i1]Xiu Ye, Shangyou Zhang, Yunrong Zhu:
Stablizer-Free Weak Galerkin Methods for Monotone Quasilinear Elliptic PDEs. CoRR abs/1911.12390 (2019) - 2018
- [j23]Jichun Li, Xiu Ye, Shangyou Zhang:
A weak Galerkin least-squares finite element method for div-curl systems. J. Comput. Phys. 363: 79-86 (2018) - [j22]Runchang Lin, Xiu Ye, Shangyou Zhang, Peng Zhu:
A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion-Reaction Problems. SIAM J. Numer. Anal. 56(3): 1482-1497 (2018) - 2017
- [j21]Shangyou Zhang:
A P4 bubble enriched P3 divergence-free finite element on triangular grids. Comput. Math. Appl. 74(11): 2710-2722 (2017) - 2016
- [j20]Jun Hu, Hongying Man, Jianye Wang, Shangyou Zhang:
The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on n-rectangular grids. Comput. Math. Appl. 71(7): 1317-1336 (2016) - [j19]Shangyou Zhang, Mo Mu:
Stable Qk-Qk-1 mixed finite elements with discontinuous pressure. J. Comput. Appl. Math. 301: 188-200 (2016) - 2015
- [j18]Chunmei Wang, Shangyou Zhang, Jinru Chen:
A Unified Mortar Condition for Nonconforming Finite Elements. J. Sci. Comput. 62(1): 179-197 (2015) - [j17]Lin Mu, Junping Wang, Xiu Ye, Shangyou Zhang:
A Weak Galerkin Finite Element Method for the Maxwell Equations. J. Sci. Comput. 65(1): 363-386 (2015) - [j16]Jun Hu, Shangyou Zhang:
The minimal conforming Hk finite element spaces on Rn rectangular grids. Math. Comput. 84(292): 563-579 (2015) - 2014
- [j15]Jun Hu, Hongying Man, Shangyou Zhang:
A Simple Conforming Mixed Finite Element for Linear Elasticity on Rectangular Grids in Any Space Dimension. J. Sci. Comput. 58(2): 367-379 (2014) - [j14]George C. Hsiao, Liwei Xu, Shangyou Zhang:
Solving Negative Order Equations by the Multigrid Method Via Variable Substitution. J. Sci. Comput. 59(2): 371-385 (2014) - [j13]Lin Mu, Junping Wang, Xiu Ye, Shangyou Zhang:
A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation. J. Sci. Comput. 59(2): 473-495 (2014) - [j12]Lizhen Qin, Shangyou Zhang, Zhimin Zhang:
Finite Element Formulation in Flat Coordinate Spaces to Solve Elliptic Problems on General Closed Riemannian Manifolds. SIAM J. Sci. Comput. 36(5) (2014) - 2011
- [j11]Shangyou Zhang:
Divergence-free finite elements on tetrahedral grids for k≥6. Math. Comput. 80(274): 669-695 (2011) - [j10]Jun Hu, Yunqing Huang, Shangyou Zhang:
The Lowest Order Differentiable Finite Element on Rectangular Grids. SIAM J. Numer. Anal. 49(4): 1350-1368 (2011) - 2010
- [j9]Xuejun Xu, Shangyou Zhang:
A New Divergence-Free Interpolation Operator with Applications to the Darcy--Stokes--Brinkman Equations. SIAM J. Sci. Comput. 32(2): 855-874 (2010)
2000 – 2009
- 2009
- [j8]Shangyou Zhang:
A Family of Qk+1, k˟Qk, k+1 Divergence-Free Finite Elements on Rectangular Grids. SIAM J. Numer. Anal. 47(3): 2090-2107 (2009) - 2008
- [j7]David O. Olagunju, Anand B. Vyas, Shangyou Zhang:
Analytical and Numerical Solutions for Torsional Flow between Coaxial Discs with Heat Transfer. SIAM J. Appl. Math. 68(5): 1404-1422 (2008) - 2007
- [j6]Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan, Shangyou Zhang:
A generalized BPX multigrid framework covering nonnested V-cycle methods. Math. Comput. 76(257): 137-152 (2007) - [j5]Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan, Shangyou Zhang:
Errata to "A generalized BPX multigrid framework covering nonnested V-cycle methods". Math. Comput. 76(260): 2251 (2007) - 2005
- [j4]Shangyou Zhang, David O. Olagunju:
Axisymmetric finite element solution of non-isothermal parallel-plate flow. Appl. Math. Comput. 171(2): 1081-1094 (2005) - [j3]Shangyou Zhang:
A new family of stable mixed finite elements for the 3D Stokes equations. Math. Comput. 74(250): 543-554 (2005) - [c1]Shangyou Zhang:
Anisotropic Nested Refinement of Tetrahedral Grids Under the Hessian Metric. CSC 2005: 236-242 - 2004
- [j2]Shangyou Zhang:
On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation. Numerische Mathematik 98(3): 559-579 (2004)
1990 – 1999
- 1997
- [j1]Shangyou Zhang, Zhimin Zhang:
Treatments of discontinuity and bubble functions in the multigrid method. Math. Comput. 66(219): 1055-1072 (1997)
Coauthor Index
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