A discontinuous Galerkin method for elliptic interface problems with application to electroporation

2009 ◽  
Vol 25 (10) ◽  
pp. 991-1008 ◽  
Author(s):  
Grégory Guyomarc'h ◽  
Chang-Ock Lee ◽  
Kiwan Jeon
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Interface Problems ◽  
Elliptic Interface Problems

scholarly journals An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Qiuliang Wang ◽  
Jinru Chen
Keyword(s):  
Exact Solution ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Numerical Experiments ◽  
Local Discontinuous Galerkin Method ◽  
Interface Problems ◽  
Elliptic Interface Problems ◽  
Local Discontinuous Galerkin ◽  
Theoretical Results

An unfitted discontinuous Galerkin method is proposed for the elliptic interface problems. Based on a variant of the local discontinuous Galerkin method, we obtain the optimal convergence for the exact solutionuin the energy norm and its fluxpin theL2norm. These results are the same as those in the case of elliptic problems without interface. Finally, some numerical experiments are presented to verify our theoretical results.

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