吉林大学学报（理学版）2017，Vol.55Issue(6)：1352-1358,7.DOI:10.13413/j.cnki.jdxblxb.2017.06.02
一种非标准的混合有限元法求解 一维退化非线性抛物问题
A Nonstandard Mixed Finite Element Method for Solving One-Dimensional Degenerate Nonlinear Parabolic Problem
摘要
Abstract
The numerical solution of wave front did not propagate forward when one tried to solve the one-dimensional degenerate nonlinear parabolic (DNP ) problem with the standard mixed finite element method.By analyzing the defect of the standard mixed finite element method for solving the degenerate equations,we proposed a nonstandard mixed finite element method.The definition of intermediate variable in the method did not include diffusion coefficient,but only the derivative of primal unknown function with respect to spatial variable.Based on typical model problems,the effectiveness of the proposed method was verified by the numerical experiments.关键词
混合有限元法/退化非线性抛物问题/非线性迭代/Barenblatt解Key words
mixed finite element method/degenerate nonlinear parabolic problem/nonlinear iteration/Barenblatt solution分类
数理科学引用本文复制引用
陈国芳,吴丹,吕俊良..一种非标准的混合有限元法求解 一维退化非线性抛物问题[J].吉林大学学报（理学版）,2017,55(6):1352-1358,7.基金项目
国家自然科学基金(批准号:11301214 （）
J1310022). （）
