On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods

David Gottlieb; Max Gunzburger; Eli Turkel

doi:10.1137/0719047

On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods

SIAM Journal on Numerical Analysis ◽

10.1137/0719047 ◽

1982 ◽

Vol 19 (4) ◽

pp. 671-682 ◽

Cited By ~ 79

Author(s):

David Gottlieb ◽

Max Gunzburger ◽

Eli Turkel

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Element Methods ◽

Hyperbolic Systems ◽

Boundary Treatment

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Grid and metric optimization in finite difference and finite element methods in magnetic problems

IEEE Transactions on Magnetics ◽

10.1109/tmag.1978.1059870 ◽

1978 ◽

Vol 14 (5) ◽

pp. 461-463 ◽

Cited By ~ 5

Author(s):

A. Viviani

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Element Methods

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The unitarity of split-operator finite difference and finite-element methods: Applications to longitudinally varying semiconductor rib waveguides

Journal of Lightwave Technology ◽

10.1109/50.62884 ◽

1990 ◽

Vol 8 (12) ◽

pp. 1866-1873 ◽

Cited By ~ 35

Author(s):

B. Hermansson ◽

D. Yevick ◽

W. Bardyszewski ◽

M. Glasner

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Element Methods ◽

Split Operator ◽

Rib Waveguides

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A new class of entropy stable schemes for hyperbolic systems: Finite element methods

Mathematics of Computation ◽

10.1090/mcom/3617 ◽

2020 ◽

pp. 1

Author(s):

Ioannis Gkanis ◽

Charalambos Makridakis

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Hyperbolic Systems ◽

New Class ◽

Entropy Stable

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Finite difference/Galerkin finite element methods for a fractional heat conduction‐transfer equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5984 ◽

2019 ◽

Author(s):

Can Li ◽

Min‐Min Li ◽

Xiaorui Sun

Keyword(s):

Finite Element ◽

Heat Conduction ◽

Finite Difference ◽

Finite Element Methods ◽

Transfer Equation ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Fractional Heat Conduction

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Positivity-preserving, flux-limited finite-difference and finite-element methods for reactive transport

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.433 ◽

2003 ◽

Vol 41 (2) ◽

pp. 151-183 ◽

Cited By ~ 13

Author(s):

Robert J. MacKinnon ◽

Graham F. Carey

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Element Methods ◽

Reactive Transport ◽

Positivity Preserving

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The theory of short-gap breakdown of needle point-plane gaps in air using finite-difference and finite-element methods

Journal of Physics D Applied Physics ◽

10.1088/0022-3727/32/12/314 ◽

1999 ◽

Vol 32 (12) ◽

pp. 1370-1385 ◽

Cited By ~ 30

Author(s):

G E Georghiou ◽

R Morrow ◽

A C Metaxas

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Element Methods ◽

Needle Point

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Coupling stabilized finite element methods with finite difference time integration for advection–diffusion–reaction problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.03.016 ◽

2007 ◽

Vol 196 (35-36) ◽

pp. 3475-3491 ◽

Cited By ~ 18

Author(s):

M.I. Asensio ◽

B. Ayuso ◽

G. Sangalli

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Element Methods ◽

Time Integration ◽

Diffusion Reaction ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Difference Time

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Control-Volume-Based Finite-Difference and Finite-Element Methods

Handbook of Numerical Heat Transfer ◽

10.1002/9780470172599.ch6 ◽

2008 ◽

pp. 191-224 ◽

Cited By ~ 1

Author(s):

B. R. Baliga ◽

N. Atabaki

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Element Methods ◽

Control Volume

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Computer Simulations Combining Finite Difference and Finite Element Methods: Solute Drag on Migrating Grain Boundaries in Three-Dimension

Materials Science Forum - Recrystallization and Grain Growth III ◽

10.4028/0-87849-443-x.1075 ◽

2007 ◽

pp. 1075-1080

Author(s):

M.C. Gao ◽

Jason Gruber ◽

Anthony D. Rollett ◽

Andrew P. Kuprat

Keyword(s):

Finite Element ◽

Finite Difference ◽

Grain Boundaries ◽

Computer Simulations ◽

Finite Element Methods ◽

Solute Drag ◽

Three Dimension

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Applicability of finite difference and finite element methods as a post-processing tool for strain analysis of fold-and-thrust belt model developed with the discrete element method

Journal of the geological society of Korea ◽

10.14770/jgsk.2021.57.6.809 ◽

2021 ◽

Vol 57 (6) ◽

pp. 809-826

Author(s):

Soojung An ◽

Byung-Dal So

Keyword(s):

Finite Element ◽

Finite Difference ◽

Discrete Element Method ◽

Finite Element Methods ◽

Strain Analysis ◽

Discrete Element ◽

Thrust Belt ◽

Post Processing ◽

Fold And Thrust Belt ◽

Element Method

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