A theoretical analysis of a new finite volume scheme for second order hyperbolic equations on general nonconforming multidimensional spatial meshes

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21697 ◽

2012 ◽

Vol 29 (1) ◽

pp. 1-39 ◽

Author(s):

Abdallah Bradji

Keyword(s):

Theoretical Analysis ◽

Finite Volume ◽

Hyperbolic Equations ◽

Second Order ◽

Finite Volume Scheme ◽

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a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations

Advances in Computational Mathematics ◽

10.1007/s10444-017-9556-6 ◽

2017 ◽

Vol 44 (2) ◽

pp. 571-607

Author(s):

Stéphane Clain ◽

Raphaël Loubère ◽

Gaspar J. Machado

Keyword(s):

Steady State ◽

Finite Volume ◽

Hyperbolic Equations ◽

Sixth Order ◽

Finite Volume Scheme ◽

A Posteriori ◽

One Dimensional ◽

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Second order finite volume scheme on structured meshes for Maxwell's equations with discontinuous dielectric permittivity

Proceedings of the International Conference Days on Diffraction 2014 ◽

10.1109/dd.2014.7036434 ◽

2014 ◽

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Structured Meshes

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Second Order Finite Volume Scheme on Tetrahedral Meshes for Three-Dimensional Maxwell’s Equations with Discontinuous Dielectric Permittivity

EPJ Web of Conferences ◽

10.1051/epjconf/201610802030 ◽

2016 ◽

Vol 108 ◽

pp. 02030

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Three Dimensional ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Tetrahedral Meshes

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A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes

SIAM Journal on Scientific Computing ◽

10.1137/140972470 ◽

2015 ◽

Vol 37 (1) ◽

pp. A420-A438 ◽

Author(s):

Zhiming Gao ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Second Order ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

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A second-order, discretely well-balanced finite volume scheme for euler equations with gravity

Computers & Fluids ◽

10.1016/j.compfluid.2019.02.003 ◽

2019 ◽

Vol 181 ◽

pp. 292-313 ◽

Author(s):

Deepak Varma ◽

Praveen Chandrashekar

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

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Erratum to: a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations

Advances in Computational Mathematics ◽

10.1007/s10444-017-9563-7 ◽

2017 ◽

Vol 44 (2) ◽

pp. 609-609

Author(s):

Stéphane Clain ◽

Raphaël Loubère ◽

Gaspar J. Machado

Keyword(s):

Steady State ◽

Finite Volume ◽

Hyperbolic Equations ◽

Sixth Order ◽

Finite Volume Scheme ◽

A Posteriori ◽

One Dimensional ◽

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A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2017.12.040 ◽

2018 ◽

Vol 358 ◽

pp. 103-129 ◽

Author(s):

Walter Boscheri ◽

Michael Dumbser ◽

Raphaël Loubère ◽

Pierre-Henri Maire

Keyword(s):

Finite Volume ◽

Unstructured Meshes ◽

Second Order ◽

Finite Volume Scheme ◽

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A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-030-41032-2_10 ◽

2020 ◽

pp. 95-104

Author(s):

Fayssal Benkhaldoun ◽

Abdallah Bradji

Keyword(s):

Wave Equation ◽

Finite Volume ◽

Fractional Diffusion ◽

Second Order ◽

Finite Volume Scheme ◽

Diffusion Wave ◽

Volume Scheme ◽

Nonconforming Meshes

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A Second-Order Finite-Volume Scheme for Euler Equations: Kinetic Energy Preserving and Staggering Effects

Journal of Scientific Computing ◽

10.1007/s10915-016-0295-5 ◽

2016 ◽

Vol 71 (1) ◽

pp. 166-194

Author(s):

Andrea Perrotta ◽

Bernardo Favini

Keyword(s):

Kinetic Energy ◽

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Kinetic Energy Preserving

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A positive and conservative second order finite volume scheme applied to a phosphor cycle in canals with sediment

PAMM ◽

10.1002/pamm.200700593 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2040045-2040046

Author(s):

Joachim Benz ◽

Andreas Meister ◽

Philipp Andrea Zardo

Keyword(s):

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

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