Second Order Finite Volume Scheme for Maxwell’s Equations with Discontinuous Dielectric Permittivity on Prismatic Meshes

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_12 ◽

2012 ◽

pp. 111-118

Author(s):

T. Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

Finite Volume Scheme ◽

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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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Second order finite volume scheme for Maxwell's equations with discontinuous electromagnetic properties on unstructured meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2014.11.001 ◽

2015 ◽

Vol 282 ◽

pp. 33-42 ◽

Author(s):

Timur Z. Ismagilov

Keyword(s):

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Unstructured Meshes ◽

Second Order ◽

Electromagnetic Properties ◽

Finite Volume Scheme ◽

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A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901387683 ◽

2002 ◽

Vol 39 (6) ◽

pp. 2089-2108 ◽

Author(s):

Serge Piperno ◽

Malika Remaki ◽

Loula Fezoui

Keyword(s):

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Three Dimensional ◽

Unstructured Meshes ◽

Finite Volume Scheme ◽

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A second-order scheme for Maxwell's equations with dielectric permittivity discontinuities and total field-scattered field boundaries

International Journal of Computer Mathematics ◽

10.1080/00207160.2012.687728 ◽

2012 ◽

Vol 89 (10) ◽

pp. 1378-1387 ◽

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Scattered Field ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

Total Field ◽

Order Scheme ◽

Field Boundaries

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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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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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