Finite Element Approximation of Nonsolenoidal, Viscous Flows around Porous and Solid Obstacles

DOI10.1137/090765341zbMath1228.76087OpenAlexW2086098462MaRDI QIDQ3091811

Ross Ingram

Publication date: 14 September 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090765341

zbMATH Keywords

convergenceexistencewell-posednessa priori stability estimates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces ⋮ Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations ⋮ A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem ⋮ Mathematical and numerical modelling of a circular cross-flow filtration module

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