scholarly journals Hybridized Discontinuous Galerkin Method for Elliptic Interface Problems: Error Estimates Under Low Regularity Assumptions of Solutions

2018 ◽  
Vol 76 (3) ◽  
pp. 1657-1673 ◽  
Author(s):  
Masaru Miyashita ◽  
Norikazu Saito
Keyword(s):  
Galerkin Method ◽  
Error Estimates ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Interface Problems ◽  
Elliptic Interface Problems ◽  
Low Regularity ◽  
Hybridized Discontinuous Galerkin Method

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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