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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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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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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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 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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Numerical methods on Shishkin meshes for linear convection–diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00271-1 ◽

2001 ◽

Vol 190 (28) ◽

pp. 3527-3542 ◽

Author(s):

Torsten Linß ◽

Martin Stynes

Keyword(s):

Numerical Methods ◽

Convection Diffusion ◽

Shishkin Meshes ◽

Diffusion Problems

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Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125495 ◽

2020 ◽

Vol 386 ◽

pp. 125495

Author(s):

Relja Vulanović ◽

Thái Anh Nhan

Keyword(s):

Higher Order ◽

Singularly Perturbed ◽

Hybrid Schemes ◽

Convection Diffusion ◽

Diffusion Problems

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Higher Order Fitted Operator Finite Difference Method for Two-Parameter Parabolic Convection-Diffusion Problems

International Journal Of Engineering & Applied Sciences ◽

10.24107/ijeas.644160 ◽

2019 ◽

Vol 11 (4) ◽

pp. 455-467

Author(s):

Tesfaye Bullo ◽

Gemechis Duressa ◽

Guy DEGLA

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Higher Order ◽

Convection Diffusion ◽

Fitted Operator ◽

Two Parameter ◽

Diffusion Problems

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Finite element superconvergence on Shishkin meshes for convection-diffusion problems with corner singularities

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt027 ◽

2013 ◽

Vol 34 (2) ◽

pp. 782-799 ◽

Author(s):

L. Ludwig ◽

H.-G. Roos

Keyword(s):

Finite Element ◽

Corner Singularities ◽

Convection Diffusion ◽

Shishkin Meshes ◽

Diffusion Problems

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The sdfem on Shishkin meshes for linear convection-diffusion problems

Numerische Mathematik ◽

10.1007/pl00005420 ◽

2001 ◽

Vol 87 (3) ◽

pp. 457-484 ◽

Author(s):

Torsten Linß ◽

Martin Stynes

Keyword(s):

Convection Diffusion ◽

Shishkin Meshes ◽

Diffusion Problems

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Efficient generation of Shishkin meshes in solving convection-diffusion problems

Irish Mathematical Society Bulletin ◽

10.33232/bims.0036.66 ◽

1996 ◽

Vol 0036 ◽

pp. 66-66

Author(s):

N. Madden ◽

M. Stynes

Keyword(s):

Convection Diffusion ◽

Shishkin Meshes ◽

Efficient Generation ◽

Diffusion Problems

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