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Self‐adaptive hierarchic finite element solution of the one‐dimensional unsaturated flow equation
Author(s) -
Abriola Linda M.,
Lang John R.
Publication year - 1990
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650100302
Subject(s) - finite element method , mathematics , flow (mathematics) , mixed finite element method , mathematical optimization , infiltration (hvac) , scheme (mathematics) , computational fluid dynamics , computer science , algorithm , computational science , mathematical analysis , mechanics , geometry , materials science , engineering , physics , structural engineering , composite material
The advantages associated with the use of self‐adaptive methods for the solution of problems which require the prediction of a frontal position in time are well known. In this paper a self‐adaptive finite element solution for the non‐linear unsaturated flow equation is developed using hierarchic p ‐version enrichment of the interpolating space. Additional computational advantages are demonstrated for an iteration scheme in which iterations after enrichment are performed only over a subdomain. Numerical solutions are presented for a one‐dimensional infiltration scenario.