[1]
|
Barenblett, G.I., Zheltov, I.P. and Kochian, I.N. (1990) Basic Concepts in the Theory of Homogeneous Liquids in Fissured Rocks. Journal of Applied Mathematics and Mechanics, 24, 1286-1303.
https://doi.org/10.1016/0021-8928(60)90107-6
|
[2]
|
施德明. 非线性湿气迁移方程的边值问题[J]. 应用数学学报, 1990, 13(1): 33-40.
|
[3]
|
Ting, T.W. (1974) A Cooling Process According to Two-Temperature Theory of Heat Conduction. Journal of Mathematical Analysis and Applications, 45, 23-31. https://doi.org/10.1016/0022-247X(74)90116-4
|
[4]
|
郭会, 芮洪兴. Sobolev方程的最小二乘Galerkin有限元方法[J]. 应用数学学报, 2006, 29(4): 610-618.
|
[5]
|
郭玲, 陈焕贞. Sobolev方程的H1-Galerkin混合有限元方法[J]. 系统科学与数学, 2006, 26(3): 302-314.
|
[6]
|
何斯日古楞, 李宏. Sobolev方程的时间间断Galerkin有限元方法[J]. 高校应用数学学报, 2011, 26(4): 467-473.
|
[7]
|
李宏, 罗振东, 安静, 孙萍. Sobolev方程的全离散有限体积元格式及数值模拟[J]. 计算数学, 2012, 34(2): 164- 172.
|
[8]
|
李宏, 周文文, 方志朝. Sobolev方程的CN全离散化有限元格式[J]. 计算数学, 2013, 35(1): 41-47.
|
[9]
|
史艳华, 石东洋. Sobolev方程新混合元方法的高精度分析[J]. 系统科学与数学, 2014, 34(4): 452-463.
|
[10]
|
Zhao, Z.H., Li, H. and Luo, Z.D. (2016) A New Space-Time Continuous Galerkin Method with Mesh Modification for Sobolev Equations. Journal of Mathematical Analysis and Applications, 400, 86-105.
https://doi.org/10.1016/j.jmaa.2016.03.035
|
[11]
|
罗振东, 张博. Sobolev方程基于POD的降阶外推差分算法[J]. 应用数学和力学, 2016, 37(1): 108-116.
|
[12]
|
Liao, H.L. and Sun, Z.Z. (2010) Maximum Norm Error Bounds of ADI and Compact ADI Methods for Solving Parabolic Equations. Numerical Methods Partial Differential Equations, 26, 37-60. https://doi.org/10.1002/num.20414
|