In this paper, we study an efficient asymptotically correction of a-posteriori er- ror estimator for the numerical approximation of Volterra integro-differential equations by piecewise polynomial collocation method. T...In this paper, we study an efficient asymptotically correction of a-posteriori er- ror estimator for the numerical approximation of Volterra integro-differential equations by piecewise polynomial collocation method. The deviation of the error for Volterra integro- differential equations by using the defect correction principle is defined. Also, it is shown that for m degree piecewise polynomial collocation method, our method provides O(hm+l) as the order of the deviation of the error. The theoretical behavior is tested on examples and it is shown that the numerical results confirm the theoretical part.展开更多
目前最常用的油气管道腐蚀安全评价方法为ASME B31G Modified、DNV RP F01、PCORRC、SHELL92。为了研究腐蚀管安全评价模型的特性,根据模型中使用的主要参数,研究了腐蚀缺陷长度、深度以及管道材料力学性能参数与管道失效压力之间的关系...目前最常用的油气管道腐蚀安全评价方法为ASME B31G Modified、DNV RP F01、PCORRC、SHELL92。为了研究腐蚀管安全评价模型的特性,根据模型中使用的主要参数,研究了腐蚀缺陷长度、深度以及管道材料力学性能参数与管道失效压力之间的关系,并结合文献试验测试数据。结果表明:管道材料对模型预测结果影响最明显,四种模型中DNV RP F101的预测结果最接近实验值,SHEEL92模型预测结果最安全;ASME B31G Modified预测结果误差变化最大。本研究对于选择恰当的腐蚀管道安全评价模型,具有一定的指导意义。展开更多
文摘In this paper, we study an efficient asymptotically correction of a-posteriori er- ror estimator for the numerical approximation of Volterra integro-differential equations by piecewise polynomial collocation method. The deviation of the error for Volterra integro- differential equations by using the defect correction principle is defined. Also, it is shown that for m degree piecewise polynomial collocation method, our method provides O(hm+l) as the order of the deviation of the error. The theoretical behavior is tested on examples and it is shown that the numerical results confirm the theoretical part.
文摘目前最常用的油气管道腐蚀安全评价方法为ASME B31G Modified、DNV RP F01、PCORRC、SHELL92。为了研究腐蚀管安全评价模型的特性,根据模型中使用的主要参数,研究了腐蚀缺陷长度、深度以及管道材料力学性能参数与管道失效压力之间的关系,并结合文献试验测试数据。结果表明:管道材料对模型预测结果影响最明显,四种模型中DNV RP F101的预测结果最接近实验值,SHEEL92模型预测结果最安全;ASME B31G Modified预测结果误差变化最大。本研究对于选择恰当的腐蚀管道安全评价模型,具有一定的指导意义。