A uniformly optimal-order error estimate for a bilinear finite element method for degenerate convection-diffusion equations

Jinhong Jia; Tongchao Lu; Kaixin Wang; Hong Wang; Yongqiang Ren

doi:10.1002/num.20655

A uniformly optimal-order error estimate for a bilinear finite element method for degenerate convection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20655 ◽

2011 ◽

Vol 28 (3) ◽

pp. 768-781 ◽

Cited By ~ 2

Author(s):

Jinhong Jia ◽

Tongchao Lu ◽

Kaixin Wang ◽

Hong Wang ◽

Yongqiang Ren

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Diffusion Equations ◽

Optimal Order ◽

Order Error ◽

Convection Diffusion ◽

Bilinear Finite Element Method ◽

Element Method

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An Explicit Finite Element Method for Convection-Dominated Steady State Convection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0728040 ◽

1991 ◽

Vol 28 (3) ◽

pp. 744-759 ◽

Cited By ~ 5

Author(s):

Gerard R. Richter

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Steady State ◽

Diffusion Equations ◽

Explicit Finite Element Method ◽

Explicit Finite Element ◽

Convection Diffusion ◽

Convection Dominated ◽

Element Method

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A new stabilized linear finite element method for solving reaction–convection–diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.04.024 ◽

2016 ◽

Vol 307 ◽

pp. 362-382 ◽

Cited By ~ 6

Author(s):

Po-Wen Hsieh ◽

Suh-Yuh Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Convection Diffusion ◽

Linear Finite Element ◽

Element Method

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The finite element method solution of variable diffusion coefficient convection-diffusion equations

10.1063/1.4747682 ◽

2012 ◽

Cited By ~ 1

Author(s):

Selçuk Han Aydin ◽

Canan Çiftçi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Coefficient ◽

Diffusion Equations ◽

The Finite Element Method ◽

Convection Diffusion ◽

Variable Diffusion Coefficient ◽

Variable Diffusion ◽

Finite Element Method Solution ◽

Element Method

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A high order conservative flux optimization finite element method for steady convection-diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109895 ◽

2021 ◽

Vol 425 ◽

pp. 109895

Author(s):

Yujie Liu ◽

Yue Feng ◽

Ran Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

High Order ◽

Diffusion Equations ◽

Convection Diffusion ◽

Steady Convection ◽

Conservative Flux ◽

Element Method

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A finite element method for time-dependent convection-diffusion equations

Mathematics of Computation ◽

10.1090/s0025-5718-1990-0993932-9 ◽

1990 ◽

Vol 54 (189) ◽

pp. 81-81 ◽

Cited By ~ 11

Author(s):

Gerard R. Richter

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Dependent ◽

Diffusion Equations ◽

Convection Diffusion ◽

Element Method

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Superconvergence of finite element method for singularly perturbed convection–diffusion equations in 1D

Applied Mathematics Letters ◽

10.1016/j.aml.2019.06.018 ◽

2019 ◽

Vol 98 ◽

pp. 278-283 ◽

Cited By ~ 3

Author(s):

Jin Zhang ◽

Xiaowei Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Element Method

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An Indirect Finite Element Method for Variable-Coefficient Space-Fractional Diffusion Equations and Its Optimal-Order Error Estimates

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-019-00037-6 ◽

2019 ◽

Vol 2 (1) ◽

pp. 147-162 ◽

Cited By ~ 2

Author(s):

Xiangcheng Zheng ◽

V. J. Ervin ◽

Hong Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Variable Coefficient ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Optimal Order ◽

Order Error ◽

Fractional Diffusion Equations ◽

Optimal Order Error Estimates

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A Characteristic Finite Element Method for Solving Non-Linear Convection-Diffusion Equations on Locally Refined Grids

ECMOR II - 2nd European Conference on the Mathematics of Oil Recovery ◽

10.3997/2214-4609.201411121 ◽

1990 ◽

Author(s):

R. H. J. Gmelig Meyling

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Convection Diffusion ◽

Characteristic Finite Element ◽

Non Linear ◽

Element Method

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Mixed time discontinuous space-time finite element method for convection diffusion equations

Applied Mathematics and Mechanics ◽

10.1007/s10483-008-1206-y ◽

2008 ◽

Vol 29 (12) ◽

pp. 1579-1586 ◽

Cited By ~ 9

Author(s):

Yang Liu ◽

Hong Li ◽

Siriguleng He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Space Time ◽

Diffusion Equations ◽

Convection Diffusion ◽

Element Method

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An explicit finite element method for convection-diffusion equations using rational basis functions

Computers & Mathematics with Applications ◽

10.1016/0898-1221(90)90253-g ◽

1990 ◽

Vol 19 (12) ◽

pp. 71-77 ◽

Cited By ~ 4

Author(s):

A. van Niekerk ◽

F.D. van Niekerk

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

Diffusion Equations ◽

Rational Basis ◽

Explicit Finite Element Method ◽

Explicit Finite Element ◽

Convection Diffusion ◽

Element Method

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