Node and edge element approximation of discontinuous fields and potentials

1993 ◽  
Vol 29 (6) ◽  
pp. 2368-2370 ◽  
Author(s):  
I.A. Tsukerman
Keyword(s):  
Element Approximation ◽  
Edge Element

Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation

1999 ◽  
Vol 36 (4) ◽  
pp. 1264-1290 ◽  
Author(s):  
D. Boffi ◽  
P. Fernandes ◽  
L. Gastaldi ◽  
I. Perugia
Keyword(s):  
Computational Models ◽  
Element Approximation ◽  
Edge Element

An adaptive edge element approximation of a quasilinear H(curl)-elliptic problem

2020 ◽  
pp. 1-28
Author(s):  
Yifeng Xu ◽  
Irwin Yousept ◽  
Jun Zou
Keyword(s):  
Elliptic Problem ◽  
Posteriori Error ◽  
Error Estimator ◽  
Element Approximation ◽  
A Posteriori ◽  
A Posteriori Error Estimator ◽  
Posteriori Error Estimator ◽  
A Posteriori Error ◽  
Edge Element ◽  
Theoretical Results

An adaptive edge element method is designed to approximate a quasilinear [Formula: see text]-elliptic problem in magnetism, based on a residual-type a posteriori error estimator and general marking strategies. The error estimator is shown to be both reliable and efficient, and its resulting sequence of adaptively generated solutions converges strongly to the exact solution of the original quasilinear system. Numerical experiments are provided to verify the validity of the theoretical results.

Sign in / Sign up

Export Citation Format

Share Document