scholarly journals Stochastic Galerkin methods for elliptic interface problems with random input

2011 ◽  
Vol 236 (5) ◽  
pp. 782-792 ◽  
Author(s):  
Tao Zhou
Keyword(s):  
Interface Problems ◽  
Galerkin Methods ◽  
Random Input ◽  
Elliptic Interface Problems ◽  
Stochastic Galerkin

scholarly journals Weak Galerkin methods for second order elliptic interface problems

2013 ◽  
Vol 250 ◽  
pp. 106-125 ◽  
Author(s):  
Lin Mu ◽  
Junping Wang ◽  
Guowei Wei ◽  
Xiu Ye ◽  
Shan Zhao
Keyword(s):  
Second Order ◽  
Interface Problems ◽  
Galerkin Methods ◽  
Weak Galerkin ◽  
Elliptic Interface Problems

scholarly journals Adaptive discontinuous Galerkin methods for elliptic interface problems

2018 ◽  
Vol 87 (314) ◽  
pp. 2675-2707 ◽  
Author(s):  
Andrea Cangiani ◽  
Emmanuil H. Georgoulis ◽  
Younis A. Sabawi
Keyword(s):  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Interface Problems ◽  
Galerkin Methods ◽  
Elliptic Interface Problems

scholarly journals A stabilized coupled method and its optimal error estimates for elliptic interface problems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Jiaping Yu ◽  
Feng Shi ◽  
Jianping Zhao
Keyword(s):  
Error Estimates ◽  
Numerical Experiments ◽  
Interface Problems ◽  
Optimal Error Estimates ◽  
Computational Stability ◽  
Optimal Error ◽  
Stabilized Method ◽  
Elliptic Interface Problems ◽  
Coupled Method

Abstract In this paper, we present a stabilized coupled algorithm for solving elliptic interface problems, mainly by introducing the jump of the solutions along the interface. A framework of theoretical proofs is provided to show the optimal error estimates of this stabilized method. Several numerical experiments are carried out to demonstrate the computational stability and effectiveness of the method.

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