Goal-Oriented A Posteriori Error Estimation For The Travel Time Functional In Porous Media Flows

DOI10.1137/140960499zbMath1320.76066OpenAlexW2081369178MaRDI QIDQ5254409

J. Collis, Paul Houston, K. Andrew Cliffe

Publication date: 9 June 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://eprints.nottingham.ac.uk/29672/

zbMATH Keywords

mixed finite element methodsadaptivitygoal-oriented a posteriori error estimationgroundwater flowstravel time functional

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

A posteriori error estimates of goal-oriented adaptive finite element methods for nonlinear reaction-diffusion problems ⋮ Error estimation and uncertainty quantification for first time to a threshold value ⋮ Error estimation for the time to a threshold value in evolutionary partial differential equations ⋮ A local anisotropic adaptive algorithm for the solution of low-Mach transient combustion problems ⋮ Goal-Oriented A Posteriori Error Estimation For The Travel Time Functional In Porous Media Flows ⋮ Linearization of the Travel Time Functional in Porous Media Flows

Uses Software

• AptoFEM

Cites Work

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