Convergence analysis of trial free boundary methods for the two-dimensional filtration problem

DOI10.1007/s00211-004-0561-6zbMath1065.76168OpenAlexW2014151113MaRDI QIDQ1780604

Takashi Suzuki, Takuya Tsuchiya

Publication date: 13 June 2005

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-004-0561-6

zbMATH Keywords

conformal mappingsvariational principleminimal surfacesunit disk

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Free boundary problems for PDEs (35R35)

Related Items (2)

Liouville's formulae and Hadamard variation with respect to general domain perturbations ⋮ Weak formulation of Hadamard variation applied to the filtration problem

Cites Work

• Numerical solution of steady-state porous flow free boundary problems
• Free boundary problems in the theory of fluid flow through porous media: Existence and uniqueness theorems
• A free boundary problem associated with the flow of ground water
• Su un problema di frontiera libera connesso a questioni di idraulica
• FINITE ELEMENT APPROXIMATIONS OF CONFORMAL MAPPINGS
• Convergence Results for an Analytical Trial Free-Boundary Method
• Discrete Solution of the Plateau Problem and its Convergence
• A Note on Discrete Solutions of the Plateau Problem
• A Complementary Solution to the Dam Problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence analysis of trial free boundary methods for the two-dimensional filtration problem