Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

SIAM Journal on Numerical Analysis ◽

10.1137/13093933x ◽

2014 ◽

Vol 52 (5) ◽

pp. 2272-2294 ◽

Author(s):

Bangti Jin ◽

Raytcho Lazarov ◽

Joseph Pasciak ◽

Zhi Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Error Analysis ◽

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An Effective Finite Element Method and Error Analysis for the Elliptic Equation in Spherical Domain

Advances in Applied Mathematics ◽

10.12677/aam.2021.101008 ◽

2021 ◽

Vol 10 (01) ◽

pp. 66-73

Author(s):

娜彭

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Equation ◽

Error Analysis ◽

Spherical Domain ◽

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A Posteriori Error Analysis in the Finite Element Method

finite element methods ◽

10.1201/b16924-39 ◽

2016 ◽

pp. 417-426 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

The Finite Element Method ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

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Error analysis of a finite element method for the Willmore flow of graphs

Interfaces and Free Boundaries ◽

10.4171/ifb/134 ◽

2006 ◽

pp. 21-46 ◽

Author(s):

Klaus Deckelnick ◽

Gerhard Dziuk

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Willmore Flow ◽

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Superconvergence analysis of a BDF-3 finite element method for nonlinear parabolic equation

Computational and Applied Mathematics ◽

10.1007/s40314-021-01707-z ◽

2021 ◽

Vol 41 (1) ◽

Author(s):

Junjun Wang ◽

Houchao Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Nonlinear Parabolic Equation ◽

Nonlinear Parabolic ◽

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Constructive error analysis of a full-discrete finite element method for the heat equation

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-019-00362-6 ◽

2019 ◽

Vol 36 (3) ◽

pp. 777-790 ◽

Author(s):

Kouji Hashimoto ◽

Takuma Kimura ◽

Teruya Minamoto ◽

Mitsuhiro T. Nakao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Heat Equation ◽

Discrete Finite Element ◽

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Superconvergence of anH1-Galerkin nonconforming mixed finite element method for a parabolic equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.09.013 ◽

2013 ◽

Vol 66 (11) ◽

pp. 2362-2375 ◽

Author(s):

Yadong Zhang ◽

Dongyang Shi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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Error analysis for an ALE evolving surface finite element method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21930 ◽

2014 ◽

Vol 31 (2) ◽

pp. 459-499 ◽

Author(s):

Charles M. Elliott ◽

Chandrasekhar Venkataraman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Evolving Surface ◽

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An electron-beam lithography system for fabricating optical elements, and patterning-error analysis by the finite-element method

Nanotechnology ◽

10.1088/0957-4484/2/1/008 ◽

1991 ◽

Vol 2 (1) ◽

pp. 57-63

Author(s):

K Nakamura ◽

T Sasaoka ◽

M Mitsui ◽

M Kanamori ◽

Y Ishihara

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Electron Beam ◽

Error Analysis ◽

Electron Beam Lithography ◽

The Finite Element Method ◽

Optical Elements ◽

Lithography System ◽

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Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrödinger equation with a time-independent potential

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1846726 ◽

2020 ◽

pp. 1-20

Author(s):

Wenping Fan ◽

Xiaoyun Jiang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Error Analysis ◽

Schrodinger Equation ◽

Unstructured Mesh ◽

Two Dimensional ◽

Fractional Schrodinger Equation ◽

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A priori mesh quality metric error analysis applied to a high-order finite element method

Journal of Computational Physics ◽

10.1016/j.jcp.2011.03.036 ◽

2011 ◽

Vol 230 (14) ◽

pp. 5564-5586 ◽

Author(s):

W. Lowrie ◽

V.S. Lukin ◽

U. Shumlak

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

A Priori ◽

Mesh Quality ◽

Quality Metric ◽

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