Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media

1966 ◽  
Vol 14 (3) ◽  
pp. 302-307 ◽  
Author(s):  
Kane Yee
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Isotropic Media ◽  
Initial Boundary Value

Semi-discrete Galerkin approximation method applied to initial boundary value problems for Maxwell's equations in anisotropic, inhomogeneous media

1981 ◽  
Vol 89 (1-2) ◽  
pp. 125-133 ◽  
Author(s):  
Pekka Neittaanmäki ◽  
Jukka Saranen
Keyword(s):  
Boundary Value Problems ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Boundary Value ◽  
A Priori ◽  
Galerkin Approximation ◽  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Standard Galerkin Method ◽  
Initial Boundary Value

SynopsisIn this paper the semi-discrete Galerkin approximation of initial boundary value problems for Maxwell's equations is analysed. For the electric field a hyperbolic system of equations is first derived. The standard Galerkin method is applied to this system and a priori error estimates are established for the approximation.

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