Convergence of local projection stabilisation finite element methods for convection–diffusion problems on layer-adapted meshes

BIT Numerical Mathematics ◽

10.1007/s10543-017-0652-2 ◽

2017 ◽

Vol 57 (3) ◽

pp. 771-786

Author(s):

Sebastian Franz

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilisation ◽

Diffusion Problems

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Implicit–Explicit Backward Difference Formulae Discontinuous Galerkin Finite Element Methods for Convection–Diffusion Problems

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_99 ◽

2010 ◽

pp. 921-928

Author(s):

Miloslav Vlasák ◽

Vít Dolejší

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Diffusion Problems

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Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D

Applications of Mathematics ◽

10.1007/s10492-012-0007-x ◽

2012 ◽

Vol 57 (2) ◽

pp. 97-108 ◽

Author(s):

Hans-Görg Roos ◽

Martin Schopf

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Convection Diffusion ◽

Diffusion Problems

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A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems

CALCOLO ◽

10.1007/s10092-014-0122-z ◽

2014 ◽

Vol 52 (4) ◽

pp. 407-424 ◽

Author(s):

Jikun Zhao ◽

Shaochun Chen ◽

Bei Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems

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Implicit-explicit multistep finite element methods for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/1098-2426(200103)17:2<93::aid-num1>3.0.co;2-b ◽

2001 ◽

Vol 17 (2) ◽

pp. 93-104 ◽

Author(s):

Chen Wei

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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Oscillation Absorption Finite Element Methods for Convection–Diffusion Problems

SIAM Journal on Scientific Computing ◽

10.1137/s1064827593259091 ◽

1996 ◽

Vol 17 (6) ◽

pp. 1328-1346 ◽

Author(s):

W. Layton ◽

B. Polman

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Convection Diffusion ◽

Diffusion Problems

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Local projection stabilisation on S-type meshes for convection–diffusion problems with characteristic layers

Computing ◽

10.1007/s00607-010-0079-y ◽

2010 ◽

Vol 87 (3-4) ◽

pp. 135-167 ◽

Author(s):

Sebastian Franz ◽

Gunar Matthies

Keyword(s):

Local Projection ◽

Convection Diffusion ◽

Characteristic Layers ◽

Local Projection Stabilisation ◽

Diffusion Problems

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Numerical evaluation of finite element methods¶in convection-diffusion problems

CALCOLO ◽

10.1007/s100920070003 ◽

2000 ◽

Vol 37 (4) ◽

pp. 233-251 ◽

Author(s):

G. Sangalli

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Numerical Evaluation ◽

Convection Diffusion ◽

Diffusion Problems

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Galerkin finite element methods for convection–diffusion problems with exponential layers on Shishkin triangular meshes and hybrid meshes

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.03.003 ◽

2017 ◽

Vol 307 ◽

pp. 244-256 ◽

Author(s):

Xiaowei Liu ◽

Jin Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Triangular Meshes ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Hybrid Meshes ◽

Galerkin Finite Element Methods ◽

Diffusion Problems

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Supplement to Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems

Mathematics of Computation ◽

10.2307/2153192 ◽

1993 ◽

Vol 60 (201) ◽

pp. S1

Author(s):

Kenneth Eriksson ◽

Claes Johnson

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stationary Convection ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems

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New primal-dual weak Galerkin finite element methods for convection-diffusion problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.012 ◽

2021 ◽

Vol 162 ◽

pp. 171-191

Author(s):

Waixiang Cao ◽

Chunmei Wang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Primal Dual ◽

Galerkin Finite Element Methods ◽

Diffusion Problems

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