A Petrov-Galerkin method with quadrature for semi-linear second-order hyperbolic problems

B. Bialecki; M. Ganesh; K. Mustapha

doi:10.1002/num.20145

A Petrov-Galerkin method with quadrature for semi-linear second-order hyperbolic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20145 ◽

2006 ◽

Vol 22 (5) ◽

pp. 1052-1069 ◽

Cited By ~ 2

Author(s):

B. Bialecki ◽

M. Ganesh ◽

K. Mustapha

Keyword(s):

Galerkin Method ◽

Second Order ◽

Hyperbolic Problems

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Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

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A Collocative Variation of the Sinc-Galerkin Method for Second Order Boundary Value Problems

Computation and Control ◽

10.1007/978-1-4612-3704-4_17 ◽

1989 ◽

pp. 253-261

Author(s):

Kelly Marie McArthur

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order

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A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-08-02123-6 ◽

2008 ◽

Vol 77 (264) ◽

pp. 1887-1916 ◽

Cited By ~ 148

Author(s):

Bernardo Cockburn ◽

Bo Dong ◽

Johnny Guzmán

Keyword(s):

Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

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Phase error and stability of second order methods for hyperbolic problems. II

Journal of Computational Physics ◽

10.1016/0021-9991(74)90087-4 ◽

1974 ◽

Vol 15 (2) ◽

pp. 251-265 ◽

Cited By ~ 8

Author(s):

David Gottlieb ◽

Eli Turkel

Keyword(s):

Phase Error ◽

Second Order ◽

Hyperbolic Problems ◽

Second Order Methods

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A super-parallel mixed explicit discontinuous Galerkin method for the second-order Boltzmann-based constitutive models of rarefied and microscale gases

Computers & Fluids ◽

10.1016/j.compfluid.2017.08.026 ◽

2017 ◽

Vol 157 ◽

pp. 146-163 ◽

Cited By ~ 9

Author(s):

L. Prince Raj ◽

S. Singh ◽

A. Karchani ◽

R.S. Myong

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Constitutive Models ◽

Second Order

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Convexity in Hyperbolic Problems. Application to a Discontinuous Galerkin Method for the Resolution of the Polydimensional Euler Equations

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications ◽

10.1007/978-3-322-87869-4_4 ◽

1989 ◽

pp. 31-42 ◽

Cited By ~ 3

Author(s):

F. Bourdel ◽

Ph. Delorme ◽

P. A. Mazet

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Problems

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An adaptive second-order element-free Galerkin method for additive manufacturing process

Computational Materials Science ◽

10.1016/j.commatsci.2020.109911 ◽

2020 ◽

Vol 183 ◽

pp. 109911

Author(s):

Songtao Chen ◽

Qinglin Duan

Keyword(s):

Additive Manufacturing ◽

Galerkin Method ◽

Manufacturing Process ◽

Second Order ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Order Element

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A parallel iterative Galerkin method based on nonconforming quadrilateral elements for second-order partial differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00018-2 ◽

2002 ◽

Vol 127 (2-3) ◽

pp. 387-404 ◽

Cited By ~ 1

Author(s):

Yongdeok Kim ◽

Sungyun Lee ◽

Seki Kim

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Galerkin Method ◽

Second Order ◽

Partial Differential ◽

Quadrilateral Elements ◽

Parallel Iterative

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Spatial and spectral superconvergence of discontinuous Galerkin method for hyperbolic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.03.061 ◽

2008 ◽

Vol 215 (2) ◽

pp. 484-494 ◽

Cited By ~ 9

Author(s):

Emilie Marchandise ◽

Nicolas Chevaugeon ◽

Jean-François Remacle

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Problems

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Jacobi spectral Galerkin method for the integrated forms of second-order differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.08.006 ◽

2010 ◽

Vol 217 (6) ◽

pp. 2684-2697 ◽

Cited By ~ 8

Author(s):

A.H. Bhrawy ◽

S.I. El-Soubhy

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Second Order ◽

Second Order Differential Equations ◽

Spectral Galerkin Method

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