New block triangular preconditioners for saddle point linear systems with highly singular blocks.
Numerical study of two-level additive Schwarz preconditioner for discontinuous Galerkin method solving elliptic problems
The paper deals with the analysis and numerical study of the domain decomposition based preconditioner for algebraic systems arising from the discontinuous Galerkin (DG) discretization of the linear elliptic problems. We introduce the DG discretization of the model problem and present the spectral -bound of the corresponding linear algebraic systems. Moreover, we present the two-level additive Schwarz preconditioner together with the theoretical result related to the estimate of the condition number....