Domain Decomposition Preconditioners for Discontinuous Galerkin Discretizations of Compressible Fluid Flows  

作　　者：Stefano Giani Paul Houston 

机构地区：[1]School of Engineering and Computing Sciences,Durham University,South Road,Durham,DH13LE,UK. [2]School of Mathematical Sciences,University of Nottingham,University Park,Nottingham NG72RD,UK.

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2014年第2期123-148,共26页高等学校计算数学学报（英文版）

基　　金：S.Giani and P.Houston acknowledge the financial support of the EPSRC under the grant EP/H005498.PH also acknowledges the support of the Leverhulme Trust.

摘　　要：In this article we consider the application of Schwarz-type domain decomposition preconditioners to the discontinuous Galerkin finite element approximation of the compressible Navier-Stokes equations.To discretize this system of conservation laws,we exploit the(adjoint consistent)symmetric version of the interior penalty discontinuous Galerkin finite element method.To define the necessary coarse-level solver required for the definition of the proposed preconditioner,we exploit ideas from composite finite element methods,which allow for the definition of finite element schemes on general meshes consisting of polygonal(agglomerated)elements.The practical performance of the proposed preconditioner is demonstrated for a series of viscous test cases in both two-and three-dimensions.

关 键 词：Composite finite element methods discontinuous Galerkin methods domain decomposition Schwarz preconditioners compressible fluid flows 

分 类 号：O17[理学—数学]