Superconvergent estimates of conforming finite element method for nonlinear time-dependent Joule heating equations

Dongyang Shi; Huaijun Yang

doi:10.1002/num.22202

Superconvergent estimates of conforming finite element method for nonlinear time-dependent Joule heating equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22202 ◽

2017 ◽

Vol 34 (1) ◽

pp. 336-356 ◽

Cited By ~ 1

Author(s):

Dongyang Shi ◽

Huaijun Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Joule Heating ◽

Time Dependent ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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A Conforming Finite Element Method for the Time-Dependent Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0722027 ◽

1985 ◽

Vol 22 (3) ◽

pp. 455-473 ◽

Cited By ~ 34

Author(s):

Christine Bernardi ◽

Geneviève Raugel

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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A type of adaptive C0 non-conforming finite element method for the Helmholtz transmission eigenvalue problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112697 ◽

2020 ◽

Vol 360 ◽

pp. 112697 ◽

Cited By ~ 1

Author(s):

Yidu Yang ◽

Yu Zhang ◽

Hai Bi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Eigenvalue Problem ◽

Transmission Eigenvalue ◽

Conforming Finite Element ◽

Transmission Eigenvalue Problem ◽

Conforming Finite Element Method ◽

Element Method

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A Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution

SIAM Journal on Scientific Computing ◽

10.1137/16m1078082 ◽

2018 ◽

Vol 40 (1) ◽

pp. A224-A250 ◽

Cited By ~ 5

Author(s):

Huo-Yuan Duan ◽

Roger C. E. Tan ◽

Suh-Yuh Yang ◽

Cheng-Shu You

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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A conforming finite element method for two-dimensional incompressible elasticity

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620140614 ◽

1979 ◽

Vol 14 (6) ◽

pp. 942-945 ◽

Cited By ~ 17

Author(s):

B. Mercier

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensional ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Incompressible Elasticity ◽

Element Method

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Explicit error bounds in a conforming finite element method

Mathematics of Computation ◽

10.1090/s0025-5718-99-01093-5 ◽

1999 ◽

Vol 68 (228) ◽

pp. 1379-1397 ◽

Cited By ~ 62

Author(s):

Philippe Destuynder ◽

Brigitte Métivet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Bounds ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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A new adaptive meshing method using non-conforming finite element method

2016 IEEE Conference on Electromagnetic Field Computation (CEFC) ◽

10.1109/cefc.2016.7815979 ◽

2016 ◽

Author(s):

So Noguchi ◽

Takuto Naoe ◽

Hajime Igarashi ◽

Shinya Matsutomo ◽

Vlatko Cingoski

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Adaptive Meshing ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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Spectral Approximation for Conforming Finite Element Method

Topics in Finite Element Solution of Elliptic Problems ◽

10.1007/978-3-662-40197-2_8 ◽

1979 ◽

pp. 145-158

Author(s):

Bertrand Mercier

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Spectral Approximation ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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An adaptive non-conforming finite-element method for Reissner-Mindlin plates

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.645 ◽

2003 ◽

Vol 56 (15) ◽

pp. 2313-2330 ◽

Cited By ~ 4

Author(s):

Carsten Carstensen ◽

Kerstin Weinberg

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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A non-conforming finite element method for sub-meshing

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00170-4 ◽

2003 ◽

Vol 139 (1) ◽

pp. 85-100 ◽

Cited By ~ 6

Author(s):

Padmanabhan Seshaiyer ◽

Philip Smith

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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A stabilized non-conforming finite element method for incompressible flow

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.11.033 ◽

2006 ◽

Vol 195 (23-24) ◽

pp. 2881-2899 ◽

Cited By ~ 22

Author(s):

Erik Burman ◽

Peter Hansbo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Incompressible Flow ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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