Error Estimates for a Vectorial Second-Order Elliptic Eigenproblem by the Local $L^2$ Projected $C^0$ Finite Element Method

Huo-Yuan Duan; Ping Lin; Roger C. E. Tan

doi:10.1137/100812136

Error Estimates for a Vectorial Second-Order Elliptic Eigenproblem by the Local $L^2$ Projected $C^0$ Finite Element Method

SIAM Journal on Numerical Analysis ◽

10.1137/100812136 ◽

2013 ◽

Vol 51 (3) ◽

pp. 1678-1714 ◽

Cited By ~ 8

Author(s):

Huo-Yuan Duan ◽

Ping Lin ◽

Roger C. E. Tan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Second Order ◽

Element Method

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Error estimates for second-order SAV finite element method to phase field crystal model

Electronic Research Archive ◽

10.3934/era.2020089 ◽

2021 ◽

Vol 29 (1) ◽

pp. 1735-1752

Author(s):

Liupeng Wang ◽

◽

Yunqing Huang ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Phase Field ◽

Second Order ◽

Crystal Model ◽

Element Method ◽

Phase Field Crystal

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Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system

Numerische Mathematik ◽

10.1007/s00211-017-0887-5 ◽

2017 ◽

Vol 137 (3) ◽

pp. 495-534 ◽

Cited By ~ 27

Author(s):

Amanda E. Diegel ◽

Cheng Wang ◽

Xiaoming Wang ◽

Steven M. Wise

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Error Estimates ◽

Stokes System ◽

Second Order ◽

Navier Stokes ◽

Element Method

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Error Estimates for an Immersed Finite Element Method for Second Order Hyperbolic Equations in Inhomogeneous Media

Journal of Scientific Computing ◽

10.1007/s10915-020-01283-0 ◽

2020 ◽

Vol 84 (2) ◽

Author(s):

Slimane Adjerid ◽

Tao Lin ◽

Qiao Zhuang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Hyperbolic Equations ◽

Inhomogeneous Media ◽

Second Order ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Element Method

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Convergence and Error Estimates for a Finite Element Method with Numerical Quadrature for a Second Order Elliptic Eigenvalue Problem

Numerical Treatment of Eigenvalue Problems Vol. 5 / Numerische Behandlung von Eigenwertaufgaben Band 5 - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique ◽

10.1007/978-3-0348-6332-2_17 ◽

1991 ◽

pp. 225-236

Author(s):

Michèle Vanmaele ◽

Roger Van Keer

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Eigenvalue Problem ◽

Error Estimates ◽

Second Order ◽

Numerical Quadrature ◽

Elliptic Eigenvalue Problem ◽

Element Method

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Stochastic Wave Finite Element Method in Uncertain Elastic Media Through the Second Order Perturbation

Прикладная механика и техническая физика ◽

10.15372/pmtf20170222 ◽

2017 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Order Perturbation ◽

Elastic Media ◽

Element Method

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2D Second-order Finite Element Method for Periodic Permanent Magnetic Focusing System

JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGY ◽

10.3724/sp.j.1146.2010.00795 ◽

2011 ◽

Vol 33 (4) ◽

pp. 956-961

Author(s):

Yun-long Yu ◽

Quan Hu ◽

Tao Huang ◽

Bin Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Magnetic Focusing ◽

Element Method

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OptimalL ∞-estimates for a mixed finite element method for second order elliptic and parabolic problems

CALCOLO ◽

10.1007/bf02576470 ◽

1983 ◽

Vol 20 (3) ◽

pp. 355-377 ◽

Cited By ~ 13

Author(s):

R. Scholz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Parabolic Problems ◽

Element Method

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Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/120873984 ◽

2013 ◽

Vol 51 (1) ◽

pp. 445-466 ◽

Cited By ~ 151

Author(s):

Bangti Jin ◽

Raytcho Lazarov ◽

Zhi Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Fractional Order ◽

Parabolic Equations ◽

Element Method

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Implementation of second-order perfectly matched layers in the time-domain finite element method

2007 IEEE Antennas and Propagation Society International Symposium ◽

10.1109/aps.2007.4396688 ◽

2007 ◽

Author(s):

Zheng Lou ◽

Davi Correia ◽

Jian-Ming Jin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Domain ◽

Second Order ◽

Perfectly Matched Layers ◽

The Time Domain ◽

Matched Layers ◽

Element Method

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A second order isoparametric finite element method for elliptic interface problems

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-013-3088-8 ◽

2013 ◽

Vol 28 (1) ◽

pp. 57-74 ◽

Cited By ~ 1

Author(s):

Xu-fa Fang ◽

Dan-fu Han ◽

Xian-liang Hu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Isoparametric Finite Element ◽

Element Method

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