An adaptive finite element method for singular parabolic equations

被引：0
作者：
Olga Wilderotter
机构：
[1] Universität Bonn,Sonderforschungsbereich 256
来源：
Numerische Mathematik | 2003年 / 96卷
关键词：
Porous Media; Finite Element Method; Error Estimate; Parabolic Equation; Extraction Process;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the adaptive finite element method to solve singular parabolic equations of porous media type and of nonstationary infiltration. We first prove a posteriori error estimates that especially take into account the discretization and algebraic errors. Furthermore we propose a robust adaptive method and apply this method to saturated/unsaturated porous media flow in an aquifer coupled with a root extraction process.
引用
收藏
页码：377 / 399
页数：22
相关论文
共 50 条
[1]   Adaptive finite element method for parabolic equations with Dirac measure [J].
Gong, Wei ;
Liu, Huipo ;
Yan, Ningning .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 328 :217-241
[2]   Pointwise localized error estimates for parabolic finite element equations [J].
Dmitriy Leykekhman .
Numerische Mathematik, 2004, 96 :583-600
[3]   A parareal exponential integrator finite element method for semilinear parabolic equations [J].
Huang, Jianguo ;
Ju, Lili ;
Xu, Yuejin .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (06)
[4]   EFFICIENT EXPONENTIAL INTEGRATOR FINITE ELEMENT METHOD FOR SEMILINEAR PARABOLIC EQUATIONS [J].
Huang, Jianguo ;
Ju, Lili ;
Xu, Yuejin .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2023, 45 (04) :A1545-A1570
[5]   A two-gird method for finite element solution of parabolic integro-differential equations [J].
Wang, Keyan .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (05) :3473-3490
[6]   A two-gird method for finite element solution of parabolic integro-differential equations [J].
Keyan Wang .
Journal of Applied Mathematics and Computing, 2022, 68 :3473-3490
[7]   PARALLEL-IN-SPACE-TIME, ADAPTIVE FINITE ELEMENT FRAMEWORK FOR NONLINEAR PARABOLIC EQUATIONS [J].
Dyja, Robert ;
Ganapathysubramanian, Baskar ;
Van Der Zee, Kristoffer G. .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 40 (03) :C283-C304
[8]   FINITE ELEMENT METHOD FOR A CLASS OF PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INTERFACES [J].
Deka, B. ;
Deka, R. C. .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2013, 44 (06) :823-847
[9]   Finite element method for a class of parabolic integro-differential equations with interfaces [J].
B. Deka ;
R. C. Deka .
Indian Journal of Pure and Applied Mathematics, 2013, 44 :823-847
[10]   A modified weak Galerkin finite element method for parabolic equations on anisotropic meshes [J].
Li, Wenjuan ;
Gao, Fuzheng ;
Cui, Jintao .
APPLIED MATHEMATICS LETTERS, 2023, 146
12345