TY - GEN

T1 - Comparison of some domain decomposition algorithms for nonsymmetric elliptic problems

AU - Cai, Xiao Chuan

AU - Gropp, William D.

AU - Keyes, David E.

PY - 1992

Y1 - 1992

N2 - In recent years, competitive domain-decomposed preconditioned iterative techniques have been developed for nonsymmetric elliptic problems. In these techniques, a large problem is divided into many smaller problems whose requirements for coordination can be controlled to allow effective solution on parallel machines. Central questions are how to choose these small problems and how to arrange the order of their solution. Different specifications of decomposition and solution order lead to a plethora of algorithms possessing complementary advantages and disadvantages. In this report we compare several methods, including the additive Schwarz algorithm, the multiplicative Schwarz algorithm, the tile algorithm, the CGK and CSPD algorithms, and the popular global ILU-family of preconditioners, on some nonsymmetric and/or indefinite elliptic model problems discretized by finite difference methods. The preconditioned problems are solved by the unrestarted GMRES method.

AB - In recent years, competitive domain-decomposed preconditioned iterative techniques have been developed for nonsymmetric elliptic problems. In these techniques, a large problem is divided into many smaller problems whose requirements for coordination can be controlled to allow effective solution on parallel machines. Central questions are how to choose these small problems and how to arrange the order of their solution. Different specifications of decomposition and solution order lead to a plethora of algorithms possessing complementary advantages and disadvantages. In this report we compare several methods, including the additive Schwarz algorithm, the multiplicative Schwarz algorithm, the tile algorithm, the CGK and CSPD algorithms, and the popular global ILU-family of preconditioners, on some nonsymmetric and/or indefinite elliptic model problems discretized by finite difference methods. The preconditioned problems are solved by the unrestarted GMRES method.

UR - http://www.scopus.com/inward/record.url?scp=0026976848&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026976848

SN - 0898712882

T3 - Domain Decomposition Methods for Partial Differential Equations

SP - 224

EP - 235

BT - Domain Decomposition Methods for Partial Differential Equations

PB - Publ by Soc for Industrial & Applied Mathematics Publ

T2 - Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations

Y2 - 6 May 1991 through 8 May 1991

ER -