Higher-order discontinuous Galerkin method for pyramidal elements using orthogonal bases

Morgane Bergot; Marc Duruflé

doi:10.1002/num.21703

Higher-order discontinuous Galerkin method for pyramidal elements using orthogonal bases

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21703 ◽

2012 ◽

Vol 29 (1) ◽

pp. 144-169 ◽

Cited By ~ 15

Author(s):

Morgane Bergot ◽

Marc Duruflé

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order ◽

Orthogonal Bases

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The Extension of A Limiting Algorithm for Discontinuous Galerkin Method to Higher Order

19th AIAA Computational Fluid Dynamics ◽

10.2514/6.2009-3982 ◽

2009 ◽

Author(s):

Adrian Maroni ◽

Klaus Hoffmann

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order

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Higher Order Line-Based Discontinuous Galerkin method for compressible flows

AIAA Aviation 2019 Forum ◽

10.2514/6.2019-3211 ◽

2019 ◽

Author(s):

Rohit K S S Vuppala ◽

Pramod K. Subbareddy

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Flows ◽

Higher Order ◽

Order Line

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Development of Higher-Order Discontinuous Galerkin Method on Hexahedral Elements

10th AIAA/CEAS Aeroacoustics Conference ◽

10.2514/6.2004-2961 ◽

2004 ◽

Cited By ~ 3

Author(s):

Huseyin Ozdemir ◽

C. Blom ◽

Rob Hagmeijer ◽

H.W.M. Hoeijmakers

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order ◽

Hexahedral Elements

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Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows

Applied Mathematical Modelling ◽

10.1016/j.apm.2019.02.037 ◽

2019 ◽

Vol 72 ◽

pp. 276-305 ◽

Cited By ~ 4

Author(s):

Vít Dolejší ◽

Michal Kuraz ◽

Pavel Solin

Keyword(s):

Computer Simulation ◽

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order ◽

Space Time ◽

Saturated Porous Media ◽

Porous Media Flows ◽

Media Flows

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Error analysis of a discontinuous Galerkin method for systems of higher-order differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.059 ◽

2013 ◽

Vol 219 (9) ◽

pp. 4503-4525 ◽

Cited By ~ 2

Author(s):

Helmi Temimi ◽

Slimane Adjerid

Keyword(s):

Differential Equations ◽

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order ◽

Higher Order Differential Equations

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Validation of Higher-Order Discontinuous Galerkin Method for the Linearized Euler Equations

11th AIAA/CEAS Aeroacoustics Conference ◽

10.2514/6.2005-2821 ◽

2005 ◽

Author(s):

Huseyin Ozdemir ◽

Gerben Kooijman ◽

Rob Hagmeijer ◽

A. Hirschberg ◽

H.W.M. Hoeijmakers

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order ◽

Linearized Euler Equations

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Higher order discontinuous Galerkin method for acoustic pulse problem

Computer Physics Communications ◽

10.1016/j.cpc.2010.03.003 ◽

2010 ◽

Vol 181 (7) ◽

pp. 1186-1194 ◽

Cited By ~ 3

Author(s):

A.V. Wolkov ◽

N.B. Petrovskaya

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Acoustic Pulse ◽

Higher Order

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Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1139 ◽

2004 ◽

Vol 61 (11) ◽

pp. 1938-1956 ◽

Cited By ~ 55

Author(s):

Charbel Farhat ◽

Radek Tezaur ◽

Paul Weidemann-Goiran

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order

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hp-discontinuous Galerkin method based on local higher order reconstruction

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.01.024 ◽

2016 ◽

Vol 279 ◽

pp. 219-235 ◽

Cited By ~ 2

Author(s):

Vít Dolejší ◽

Pavel Solin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order ◽

Order Reconstruction

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On limiting for higher order discontinuous Galerkin method for 2D Euler equations

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-016-0142-1 ◽

2016 ◽

Vol 47 (1) ◽

pp. 335-345 ◽

Cited By ~ 3

Author(s):

Juan Pablo Gallego-Valencia ◽

Christian Klingenberg ◽

Praveen Chandrashekar

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order ◽

2D Euler Equations

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