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

DOI10.1080/00207160.2012.687728zbMath1255.78037OpenAlexW1969084199MaRDI QIDQ4903498

Timur Z. Ismagilov

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.687728

zbMATH Keywords

Maxwell's equationsunstructured meshfinite volumesecond orderdiscontinuous dielectric permittivitytotal field-scattered field

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Cites Work

• Unnamed Item
• Unnamed Item
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Two coupled particle-finite volume methods using Delaunay-Voronoï meshes for the approximation of Vlasov-Poisson and Vlasov-Maxwell equations
• Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media
• Systems of conservation laws
• Convergence Analysis of Fully Discrete Finite Volume Methods for Maxwell's Equations in Nonhomogeneous Media

This page was built for publication: A second-order scheme for Maxwell's equations with dielectric permittivity discontinuities and total field-scattered field boundaries