scholarly journals A Fourier penalty method for solving the time-dependent Maxwell's equations in domains with curved boundaries

2016 ◽  
Vol 306 ◽  
pp. 167-198
Author(s):  
Ryan Galagusz ◽  
David Shirokoff ◽  
Jean-Christophe Nave
Keyword(s):  
Maxwell’S Equations ◽  
Penalty Method ◽  
Maxwell's Equations ◽  
Time Dependent ◽  
Curved Boundaries

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.

Sign in / Sign up

Export Citation Format

Share Document