Gauss-Newton multilevel methods for least-squares finite element computations of variably saturated subsurface flow

DOI10.1007/s006070070028zbMath0983.76052OpenAlexW2078603281MaRDI QIDQ1581111

Gerhard Starke

Publication date: 23 April 2002

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006070070028

zbMATH Keywords

a posteriori error estimatornonlinear elliptic problemsstopping criterionconforming finite elementsadaptive mesh refinementsvariably saturated flowimplicit Euler discretizationhydraulic potentialadaptive multilevel methodblock Gauss-Seidel smoothing iterationinexact Gauss-Newton methodlinearized least-squares functionalnonlinear least-squares functionalpiecewise linear conforming finite elementswater table recharge problem

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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