Application of PETSc in Soil-Water Coupled Geotechnical Problems  

作　　者：狄东超 叶冠林 夏小和 王建华 

机构地区：[1]Department of Civil Engineering,Shanghai Jiaotong University

出　　处：《Journal of Shanghai Jiaotong university(Science)》2013年第4期401-408,共8页上海交通大学学报（英文版）

基　　金：the National Natural Science Foundation of China(Nos.41172251 and 41002097)

摘　　要：In this paper, parallel library, portable extensible toolkit for scientific computation （FETSc）, 18 used to solve linear systems in soil-water coupled finite element method （FEM） for geotechnical problems. The parallel environment is integrated into GLEAVES, which is a geotechnical software package used for the finite elementsimulation. The linear system Ax = b which is a fundamental and the most time-consuming part of the FEM is solved with iterative solvers in PETSc. In order to find a robust and effective combination of iterative solvers and corresponding preconditioners for the soil-water coupled problems, performance evaluations on Krylov subspace methods and four preconditioners are carried out. The results indicate that general minimal residual （GMRES） method coupled with preconditioners can provide an effective solution. The application to a construction project is presented to illustrate the potential of the proposed solution.In this paper, parallel library, portable extensible toolkit for scientific computation (PETSc), is used to solve linear systems in soil-water coupled finite element method (FEM) for geotechnical problems. The parallel environment is integrated into GLEAVES, which is a geotechnical software package used for the finite element simulation. The linear system Ax = b which is a fundamental and the most time-consuming part of the FEM is solved with iterative solvers in PETSc. In order to find a robust and effective combination of iterative solvers and corresponding preconditioners for the soil-water coupled problems, performance evaluations on Krylov subspace methods and four preconditioners are carried out. The results indicate that general minimal residual (GMRES) method coupled with preconditioners can provide an effective solution. The application to a construction project is presented to illustrate the potential of the proposed solution.

关 键 词：portable extensible toolkit for scientific computation （PETSc） parallel computing soil-water cou- pled geotechnical problem 

分 类 号：O246[理学—计算数学] TB115[理学—数学]