Local Projection Stabilisation on Layer-Adapted Meshes for Convection-Diffusion Problems with Characteristic Layers (Part I and II)

Lecture Notes in Computational Science and Engineering - BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods ◽

10.1007/978-3-642-19665-2_14 ◽

2011 ◽

pp. 127-138 ◽

Author(s):

Sebastian Franz ◽

Gunar Matthies

Keyword(s):

Local Projection ◽

Convection Diffusion ◽

Characteristic Layers ◽

Local Projection Stabilisation ◽

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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Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes

Advances in Computational Mathematics ◽

10.1007/s10444-008-9070-y ◽

2008 ◽

Vol 30 (4) ◽

pp. 315-337 ◽

Author(s):

Gunar Matthies

Keyword(s):

Higher Order ◽

Local Projection ◽

Convection Diffusion ◽

Shishkin Meshes ◽

Local Projection Stabilisation ◽

Diffusion Problems

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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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Local projection methods on layer-adapted meshes for higher order discretisations of convection–diffusion problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2009.05.008 ◽

2009 ◽

Vol 59 (10) ◽

pp. 2515-2533 ◽

Author(s):

Gunar Matthies

Keyword(s):

Projection Methods ◽

Higher Order ◽

Local Projection ◽

Convection Diffusion ◽

Diffusion Problems

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Supercloseness of continuous interior penalty method for convection–diffusion problems with characteristic layers

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.03.013 ◽

2017 ◽

Vol 319 ◽

pp. 549-566 ◽

Author(s):

Jin Zhang ◽

Martin Stynes

Keyword(s):

Penalty Method ◽

Interior Penalty ◽

Convection Diffusion ◽

Interior Penalty Method ◽

Characteristic Layers ◽

Diffusion Problems

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Uniform supercloseness of Galerkin finite element method for convection–diffusion problems with characteristic layers

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.09.028 ◽

2018 ◽

Vol 75 (2) ◽

pp. 444-458 ◽

Author(s):

Xiaowei Liu ◽

Jin Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Characteristic Layers ◽

Diffusion Problems ◽

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Pointwise estimates of the SDFEM for convection–diffusion problems with characteristic layers

Applied Numerical Mathematics ◽

10.1016/j.apnum.2012.07.009 ◽

2013 ◽

Vol 64 ◽

pp. 19-34 ◽

Author(s):

Jin Zhang ◽

Liquan Mei ◽

Yaping Chen

Keyword(s):

Pointwise Estimates ◽

Convection Diffusion ◽

Characteristic Layers ◽

Diffusion Problems

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Analysis of the SDFEM for convection-diffusion problems with characteristic layers

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.04.045 ◽

2015 ◽

Vol 262 ◽

pp. 326-334 ◽

Author(s):

Xiaowei Liu ◽

Jin Zhang

Keyword(s):

Convection Diffusion ◽

Characteristic Layers ◽

Diffusion Problems

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Continuous–discontinuous finite element method for convection-diffusion problems with characteristic layers

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.04.010 ◽

2009 ◽

Vol 231 (2) ◽

pp. 626-636 ◽

Author(s):

Helena Zarin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convection Diffusion ◽

Discontinuous Finite Element ◽

Characteristic Layers ◽

Discontinuous Finite Element Method ◽

Diffusion Problems ◽

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AN EFFICIENT NUMERICAL INTEGRATION ALGORITHM FOR INTEGRAL TRANSFORM SOLUTION OF NONLINEAR CONVECTION-DIFFUSION PROBLEMS

Hybrid Methods in Engineering ◽

10.1615/hybmetheng.v2.i4.60 ◽

2000 ◽

Vol 2 (4) ◽

pp. 12

Author(s):

Humberto Araujo Machado

Keyword(s):

Numerical Integration ◽

Integral Transform ◽

Integration Algorithm ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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