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

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

Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes

2016 ◽  
Vol 21 (1) ◽  
pp. 162-181 ◽  
Author(s):  
Xiang Lai ◽  
Zhiqiang Sheng ◽  
Guangwei Yuan
Keyword(s):  
Diffusion Equation ◽  
Finite Volume ◽  
Three Dimensional ◽  
Finite Volume Scheme ◽  
Order Accuracy ◽  
Volume Scheme ◽  
Tetrahedral Meshes ◽  
Dimensional Diffusion ◽  
Coefficient Problems ◽  
Monotone Finite Volume Scheme

AbstractWe construct a nonlinear monotone finite volume scheme for three-dimensional diffusion equation on tetrahedral meshes. Since it is crucial important to eliminate the vertex unknowns in the construction of the scheme, we present a new efficient eliminating method. The scheme has only cell-centered unknowns and can deal with discontinuous or tensor diffusion coefficient problems on distorted meshes rigorously. The numerical results illustrate that the resulting scheme can preserve positivity on distorted tetrahedral meshes, and also show that our scheme appears to be approximate second-order accuracy for solution.

Sign in / Sign up

Export Citation Format

Share Document