Characteristic splitting mixed finite element analysis of compressible wormhole propagation

DOI10.1016/j.apnum.2019.08.012zbMath1435.65169OpenAlexW2969566147WikidataQ127340613 ScholiaQ127340613MaRDI QIDQ2010235

Huiran Han, Jian-Song Zhang, Xiaomang Shen, Hongfei Fu, Hui Guo

Publication date: 27 November 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.08.012

zbMATH Keywords

splitting systemthe method of characteristicsmixed elementmass-conservativewormhole propagation

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

Unconditional stability and optimal error analysis of mass conservative characteristic mixed FEM for wormhole propagation ⋮ A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering ⋮ Hybrid mixed discontinuous Galerkin finite element method for incompressible wormhole propagation problem ⋮ A new expanded mixed finite element method for Kirchhoff type parabolic equation ⋮ Numerical simulation for clustering and pattern formation in active colloids with mass-preserving characteristic finite element method ⋮ Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation ⋮ Numerical analysis of incompressible wormhole propagation with mass-preserving characteristic mixed finite element procedure ⋮ Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy-Forchheimer model

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