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Cited article:
Shangyou Zhang
ESAIM: M2AN, 42 2 (2008) 175-192
Published online: 2008-03-27
This article has been cited by the following article(s):
22 articles
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Three families of $$C^1$$-$$P_{2m+1}$$ Bell finite elements on triangular meshes
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A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation
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Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes
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A 𝐶1-𝑃7 Bell Finite Element on Triangle
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An Interpolated Galerkin Finite Element Method for the Poisson Equation
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A family of H-div-div mixed triangular finite elements for the biharmonic equation
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Unlocking the secrets of locking: Finite element analysis in planar linear elasticity
Mark Ainsworth and Charles Parker Computer Methods in Applied Mechanics and Engineering 395 115034 (2022) https://doi.org/10.1016/j.cma.2022.115034
A Modified Weak Galerkin Finite Element Method for the Biharmonic Equation on Polytopal Meshes
Ming Cui, Xiu Ye and Shangyou Zhang Communications on Applied Mathematics and Computation 3 (1) 91 (2021) https://doi.org/10.1007/s42967-020-00071-9
Approximation Theory XVI
Tatyana Sorokina and Shangyou Zhang Springer Proceedings in Mathematics & Statistics, Approximation Theory XVI 336 237 (2021) https://doi.org/10.1007/978-3-030-57464-2_13
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations
Shuo Zhang Science China Mathematics 64 (11) 2579 (2021) https://doi.org/10.1007/s11425-020-1882-6
Erratum to “A C1-P2 finite element without nodal basis”
Shangyou Zhang ESAIM: Mathematical Modelling and Numerical Analysis 55 S877 (2021) https://doi.org/10.1051/m2an/2020066
Accurate numerical integration for the quadrilateral and hexahedral finite elements
Ziqing Xie and Shangyou Zhang Numerical Methods for Partial Differential Equations 37 (3) 2446 (2021) https://doi.org/10.1002/num.22723
On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation
Ming Cui and Shangyou Zhang Journal of Scientific Computing 82 (1) (2020) https://doi.org/10.1007/s10915-019-01120-z
Conforming and nonconforming harmonic finite elements
Tatyana Sorokina and Shangyou Zhang Applicable Analysis 99 (4) 569 (2020) https://doi.org/10.1080/00036811.2018.1504031
A C1 Virtual Element Method on polyhedral meshes
L. Beirão da Veiga, F. Dassi and A. Russo Computers & Mathematics with Applications 79 (7) 1936 (2020) https://doi.org/10.1016/j.camwa.2019.06.019
A new P1 weak Galerkin method for the Biharmonic equation
Xiu Ye, Shangyou Zhang and Zhimin Zhang Journal of Computational and Applied Mathematics 364 112337 (2020) https://doi.org/10.1016/j.cam.2019.07.002
Development of a P2 element with optimal L2 convergence for biharmonic equation
Lin Mu, Xiu Ye and Shangyou Zhang Numerical Methods for Partial Differential Equations 35 (4) 1497 (2019) https://doi.org/10.1002/num.22361
A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation
Lin Mu, Junping Wang, Xiu Ye and Shangyou Zhang Journal of Scientific Computing 59 (2) 473 (2014) https://doi.org/10.1007/s10915-013-9770-4
A new family of high regularity elements
Jiguang Sun Numerical Methods for Partial Differential Equations 28 (1) 1 (2012) https://doi.org/10.1002/num.20601
A finite element method with discontinuous rotations for the Mindlin–Reissner plate model
Peter Hansbo, David Heintz and Mats G. Larson Computer Methods in Applied Mechanics and Engineering 200 (5-8) 638 (2011) https://doi.org/10.1016/j.cma.2010.09.009
A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love plate
Peter Hansbo and Mats G. Larson Computer Methods in Applied Mechanics and Engineering 200 (47-48) 3289 (2011) https://doi.org/10.1016/j.cma.2011.07.007