scholarly journals Determination of a time-dependent convolution kernel from a boundary measurement in nonlinear Maxwell’s equations

2016 ◽  
Vol 72 (6) ◽  
pp. 1484-1500 ◽  
Author(s):  
Marian Slodička ◽  
Michal Galba
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Time Dependent ◽  
Convolution Kernel ◽  
Boundary Measurement

scholarly journals Calderón problem for Maxwell's equations in two dimensions

2016 ◽  
Vol 24 (3) ◽  
Author(s):  
Oleg Y. Imanuvilov ◽  
Masahiro Yamamoto
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell Equations ◽  
Maxwell's Equations ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Global Uniqueness ◽  
Calderón Problem ◽  
Dirichlet To Neumann Map

AbstractWe prove the global uniqueness in determination of the conductivity, the permeability and the permittivity of the two-dimensional Maxwell equations by the partial Dirichlet-to-Neumann map limited to an arbitrary subboundary.

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.

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