Numerical solutions for groundwater flow in unsaturated layered soil with extreme physical property contrasts

DOI10.1515/ijnsns-2015-0060zbMath1401.76097OpenAlexW2566607473MaRDI QIDQ1660846

Weichung Yeih, Chi-Chao Huang, Chih-Yu Liu, Cheng-Yu Ku, Der-Guey Lin

Publication date: 16 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2015-0060

zbMATH Keywords

groundwater flownonlinearhydraulic conductivityRichards equationill-conditionedlayered soil

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

Application of an improved \(\mathrm{P}(m)\)-SOR iteration method for flow in partially saturated soils ⋮ On modeling subsurface flow using a novel hybrid Trefftz-MFS method ⋮ Application of the Chebyshev spectral method to the simulation of groundwater flow and rainfall-induced landslides

Cites Work

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• An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients
• Solving nonlinear problems with singular initial conditions using a perturbed scalar homotopy method
• Dynamical Newton-Like Methods for Solving Ill-Conditioned Systems of Nonlinear Equations with Applications to Boundary Value Problems
• A Two-Side Equilibration Method to Reduce theCondition Number of an Ill-Posed Linear System
• A Novel Method for Solving Ill-conditioned Systems ofLinear Equations with Extreme Physical PropertyContrasts
• Novel Algorithms Based on the Conjugate Gradient Method for Inverting Ill-Conditioned Matrices, and a New Regularization Method to Solve Ill-Posed Linear Systems
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS

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