General theory of interpolation error estimates on anisotropic meshes

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-020-00433-z ◽

2020 ◽

Author(s):

Hiroki Ishizaka ◽

Kenta Kobayashi ◽

Takuya Tsuchiya

Keyword(s):

General Theory ◽

Error Estimates ◽

Interpolation Error ◽

Anisotropic Meshes

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Interpolation error estimates for edge elements on anisotropic meshes

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq016 ◽

2011 ◽

Vol 31 (4) ◽

pp. 1683-1712

Author(s):

A. L. Lombardi

Keyword(s):

Error Estimates ◽

Interpolation Error ◽

Edge Elements ◽

Anisotropic Meshes

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Interpolation error estimates on hermite rational “Wachspress type” third degree finite element

Computers & Mathematics with Applications ◽

10.1016/0898-1221(79)90094-4 ◽

1979 ◽

Vol 5 (4) ◽

pp. 349-357 ◽

Author(s):

J.L. Gout

Keyword(s):

Finite Element ◽

Error Estimates ◽

Interpolation Error

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Interpolation error estimates of a modified 8-node serendipity finite element

Numerische Mathematik ◽

10.1007/s002110000104 ◽

2000 ◽

Vol 85 (3) ◽

pp. 503-524 ◽

Author(s):

Jing Zhang ◽

Fumio Kikuchi

Keyword(s):

Finite Element ◽

Error Estimates ◽

Interpolation Error

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Independence of interpolation error estimates by fifth-degree polynomials on angles in a triangle

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki ◽

10.20537/vm120306 ◽

2012 ◽

pp. 53-64

Author(s):

N.V. Latypova ◽

Keyword(s):

Error Estimates ◽

Interpolation Error

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On Quasi-Norm Interpolation Error Estimation And A Posteriori Error Estimates for p-Laplacian

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901393589 ◽

2002 ◽

Vol 40 (5) ◽

pp. 1870-1895 ◽

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Error Estimation ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Interpolation Error ◽

A Posteriori ◽

A Posteriori Error

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Energy-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes: Neumann Boundary Conditions

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 ◽

10.1007/978-3-319-67202-1_11 ◽

2017 ◽

pp. 141-154

Author(s):

Natalia Kopteva

Keyword(s):

Boundary Conditions ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Posteriori Error ◽

Neumann Boundary Conditions ◽

Singularly Perturbed ◽

Energy Norm ◽

Anisotropic Meshes

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Quasi-Norm interpolation error estimates for the piecewise linear finite element approximation of p-Laplacian problems

Numerische Mathematik ◽

10.1007/s00211-005-0594-5 ◽

2005 ◽

Vol 100 (2) ◽

pp. 233-258 ◽

Author(s):

Carsten Ebmeyer ◽

WB. Liu

Keyword(s):

Finite Element ◽

Error Estimates ◽

Piecewise Linear ◽

Finite Element Approximation ◽

Interpolation Error ◽

Element Approximation ◽

Linear Finite Element

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Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes

Journal of Scientific Computing ◽

10.1007/s10915-014-9937-7 ◽

2014 ◽

Vol 64 (2) ◽

pp. 368-400

Author(s):

Jikun Zhao ◽

Shaochun Chen ◽

Bei Zhang ◽

Shipeng Mao

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Discontinuous Coefficients ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

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Interpolation error estimates for harmonic coordinates on polytopes

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015096 ◽

2016 ◽

Vol 50 (3) ◽

pp. 651-676 ◽

Author(s):

Andrew Gillette ◽

Alexander Rand

Keyword(s):

Error Estimates ◽

Interpolation Error ◽

Harmonic Coordinates

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Clement-type interpolation on spherical domains--interpolation error estimates and application to a posteriori error estimation

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drh024 ◽

2005 ◽

Vol 25 (2) ◽

pp. 310-336 ◽

Author(s):

T. Apel

Keyword(s):

Error Estimates ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Interpolation Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Type Interpolation ◽

Spherical Domains

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