Reconstruction of a time dependent source term from a single boundary measurement in Maxwell’s equations with nonlinear generalized Ohm’s law

2018 ◽  
Vol 334 ◽  
pp. 58-76 ◽  
Author(s):  
Jaroslav Chovan ◽  
Marián Slodička
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Source Term ◽  
Time Dependent ◽  
Ohm’S Law ◽  
Boundary Measurement ◽  
Ohm's Law ◽  
Single Boundary

The Electric Field in Maxwell's Equations

1978 ◽  
Vol 15 (2) ◽  
pp. 169-171 ◽  
Author(s):  
Z. L. Budrikis
Keyword(s):  
Electric Field ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Coulomb Force ◽  
Maxwell’S Equation ◽  
Ohm’S Law ◽  
Ohm's Law ◽  
Maxwell's Equation

The field E in Maxwell's equation curl E = – δB/δ t is limited to induction and Coulomb force. It does not extend to all phenomena that are included in E of Ohm's law, J = σE. Maxwell's equation would need another term to account for additional vorticity of the E in Ohm's law.

scholarly journals Weak Galerkin methods for time-dependent Maxwell’s equations

2017 ◽  
Vol 74 (9) ◽  
pp. 2106-2124 ◽  
Author(s):  
Sidney Shields ◽  
Jichun Li ◽  
Eric A. Machorro
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Time Dependent ◽  
Galerkin Methods ◽  
Weak Galerkin

Nonconforming Mixed Finite Element Method for Time-dependent Maxwell's Equations with ABC

2016 ◽  
Vol 9 (2) ◽  
pp. 193-214
Author(s):  
Changhui Yao ◽  
Dongyang Shi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Absorbing Boundary Conditions ◽  
Time Dependent ◽  
Backward Euler ◽  
Element Method

AbstractIn this paper, a nonconforming mixed finite element method (FEM) is presented to approximate time-dependent Maxwell's equations in a three-dimensional bounded domain with absorbing boundary conditions (ABC). By employing traditional variational formula, instead of adding penalty terms, we show that the discrete scheme is robust. Meanwhile, with the help of the element's typical properties and derivative transfer skills, the convergence analysis and error estimates for semidiscrete and backward Euler fully-discrete schemes are given, respectively. Numerical tests show the validity of the proposed method.

An LP estimate for Maxwell's equations with source term

2003 ◽  
Vol 337 (5) ◽  
pp. 365-370
Author(s):  
Gang Bao ◽  
Aurelia Minut ◽  
Zhengfang Zhou
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Source Term ◽  
Lp Estimate
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