A Two-Level Additive Schwarz Preconditioner for Local $$C^0$$ C 0 Discontinuous Galerkin Methods of Kirchhoff Plates

2019 ◽  
Vol 1 (2) ◽  
pp. 167-185
Author(s):  
Jianguo Huang ◽  
Xuehai Huang
Keyword(s):  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Galerkin Methods ◽  
Additive Schwarz ◽  
Kirchhoff Plates ◽  
Schwarz Preconditioner

scholarly journals On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients

2003 ◽  
Vol 3 (1) ◽  
pp. 76-85 ◽  
Author(s):  
Maksymilian Dryja
Keyword(s):  
Rate Of Convergence ◽  
Discontinuous Galerkin ◽  
Error Bound ◽  
Discontinuous Galerkin Methods ◽  
Elliptic Problems ◽  
Discontinuous Coefficients ◽  
Galerkin Methods ◽  
Additive Schwarz ◽  
Discrete Problems ◽  
Schwarz Preconditioner

AbstractDiscontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed. Although the preconditioner is not optimal it is very well suited for parallel computations and its rate of convergence is independent of the jumps of coefficients.

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