A Conforming Finite Element Method for Non-conservative Advection-diffusion Equations on Connected Graphs

Hidekazu YOSHIOKA; Nobuhiko KINJO; Koichi UNAMI; Masayuki FUJIHARA

doi:10.2208/jscejam.69.i_59

A Conforming Finite Element Method for Non-conservative Advection-diffusion Equations on Connected Graphs

Journal of Japan Society of Civil Engineers Ser A2 (Applied Mechanics (AM)) ◽

10.2208/jscejam.69.i_59 ◽

2013 ◽

Vol 69 (2) ◽

pp. I_59-I_70

Author(s):

Hidekazu YOSHIOKA ◽

Nobuhiko KINJO ◽

Koichi UNAMI ◽

Masayuki FUJIHARA

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Connected Graphs ◽

Advection Diffusion ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

Element Method

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A stabilized finite element method for advection-diffusion equations on surfaces

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt016 ◽

2013 ◽

Vol 34 (2) ◽

pp. 732-758 ◽

Cited By ~ 38

Author(s):

M. A. Olshanskii ◽

A. Reusken ◽

X. Xu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Advection Diffusion ◽

Element Method

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A Nonconforming Finite Element Method with Face Penalty for Advection—Diffusion Equations

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-34288-5_47 ◽

2007 ◽

pp. 512-519

Author(s):

L. El Alaoui ◽

A. Ern ◽

E. Burman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Advection Diffusion ◽

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 two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.12.008 ◽

2020 ◽

Vol 79 (9) ◽

pp. 2771-2783 ◽

Cited By ~ 22

Author(s):

Chuanjun Chen ◽

Huan Liu ◽

Xiangcheng Zheng ◽

Hong Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Variable Order ◽

Advection Diffusion ◽

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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