Linearity-preserving monotone local projection stabilization schemes for continuous finite elements

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.04.030 ◽

2017 ◽

Vol 322 ◽

pp. 23-41 ◽

Author(s):

Dmitri Kuzmin ◽

Steffen Basting ◽

John N. Shadid

Keyword(s):

Finite Elements ◽

Local Projection ◽

Local Projection Stabilization

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Equal-order finite elements with local projection stabilization for the Darcy–Brinkman equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.06.034 ◽

2011 ◽

Vol 200 (9-12) ◽

pp. 1126-1136 ◽

Author(s):

M. Braack ◽

F. Schieweck

Keyword(s):

Finite Elements ◽

Local Projection ◽

Brinkman Equations ◽

Local Projection Stabilization

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A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125937 ◽

2021 ◽

Vol 397 ◽

pp. 125937

Author(s):

Ziming Dong ◽

Hong Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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An overlapping local projection stabilization for Galerkin approximations of Stokes and Darcy flow problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.09.001 ◽

2021 ◽

Author(s):

Deepika Garg ◽

Sashikumaar Ganesan

Keyword(s):

Local Projection ◽

Flow Problems ◽

Galerkin Approximations ◽

Local Projection Stabilization

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Local Projection Stabilization for Convection-Diffusion-Reaction Equations on Surfaces

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 ◽

10.1007/978-3-319-67202-1_13 ◽

2017 ◽

pp. 169-181

Author(s):

Kristin Simon ◽

Lutz Tobiska

Keyword(s):

Diffusion Reaction ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Reaction Equations

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The two-level local projection stabilization as an enriched one-level approach

Advances in Computational Mathematics ◽

10.1007/s10444-011-9188-1 ◽

2011 ◽

Vol 36 (4) ◽

pp. 503-523 ◽

Author(s):

Lianhua He ◽

Lutz Tobiska

Keyword(s):

Local Projection ◽

Local Projection Stabilization

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A Local Projection Stabilization Method with Shock Capturing and Diagonal Mass Matrix for Solving Non-stationary Transport Dominated Problems

Computational Methods in Applied Mathematics ◽

10.2478/cmam-2012-0019 ◽

2012 ◽

Vol 12 (2) ◽

Author(s):

Friedhelm Schieweck ◽

Piotr Skrzypacz

Keyword(s):

Mass Matrix ◽

Shock Capturing ◽

Stabilization Method ◽

Local Projection ◽

Local Projection Stabilization

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Local projection stabilization for the Oseen problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drv032 ◽

2015 ◽

Vol 36 (2) ◽

pp. 796-823 ◽

Author(s):

Helene Dallmann ◽

Daniel Arndt ◽

Gert Lube

Keyword(s):

Local Projection ◽

Local Projection Stabilization ◽

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Nodal-based finite element methods with local projection stabilization for linearized incompressible magnetohydrodynamics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.01.004 ◽

2016 ◽

Vol 302 ◽

pp. 170-192 ◽

Author(s):

Benjamin Wacker ◽

Daniel Arndt ◽

Gert Lube

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Local Projection ◽

Local Projection Stabilization ◽

Incompressible Magnetohydrodynamics

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Applying Local Projection Stabilization to inf-sup Stable Elements

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_62 ◽

2008 ◽

pp. 521-528 ◽

Author(s):

G. Rapin ◽

G. Lube ◽

J. Löwe

Keyword(s):

Local Projection ◽

Local Projection Stabilization ◽

Stable Elements

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A local projection stabilization virtual element method for convection-diffusion-reaction equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126536 ◽

2021 ◽

Vol 411 ◽

pp. 126536

Author(s):

Yang Li ◽

Minfu Feng

Keyword(s):

Diffusion Reaction ◽

Virtual Element Method ◽

Reaction Equation ◽

Local Projection ◽

Convection Diffusion ◽

Local Projection Stabilization ◽

Virtual Element ◽

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