ADAPTIVE ITERATION ACCELERATION FOR NONLINEAR PARABOLIC-HYPERBOLIC SYSTEM

摘要：

A new iteration scheme named adaptive Picard-Newton iteration is studied for a nonlinear coupled parabolic-hyperbolic system. It can accelerate the resolving procedure with flexible adjustment of the adaptive parameter. It includes Picard iteration and Picard-Newton iteration as special cases. Theoretical analysis shows its solution has super-linear convergence rate to the solution of the nonlinear discrete scheme of the original problem, and second order spatial and temporal approximations to the real solution of the problem. Numerical tests verify its high accuracy and efficiency. Accelerating factors are picked up by comparisons of several iterations, and significant synthesis acceleration is gained.

作者: Xia Cui Guang-Wei Yuan Jing-Yan Yue

作者单位: National Key Laboratory of Science and Technology on Computational Physics,Institute of Applied Phys National Key Laboratory of Science and Technology on Computational Physics,Institute of Applied Phys

会议类型: 国际会议

会议名称: 2nd International Conference on Computational Methods for Thermal Problems(第二届热问题计算方法国际会议)

会议地点: 大连

会议语种:英文

页码: 93-96

在线出版日期: 2011-09-05（万方平台首次上网日期，不代表论文的发表时间）