On the use of divergence balanced \(\mathbf{H}(\operatorname{div})\)-\(L^2\) pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes-Darcy and Brinkman problems
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Publication:1997911
DOI10.1016/j.matcom.2019.09.002OpenAlexW2973124212MaRDI QIDQ1997911
Pablo G. S. Carvalho, Sônia M. Gomes, Philippe Remy Bernard Devloo
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2019.09.002
Stokes flowdiscontinuous Galerkincoupled Stokes-Darcy flowmixed finite elements methodsdivergence-free simulation
Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Related Items (4)
A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields ⋮ Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem ⋮ Hierarchical basis in \(H^{\operatorname{div}}\) space for a mixed finite element formulation of the Darcy problem ⋮ Convergence analysis of \(H(\operatorname{div})\)-conforming finite element methods for a nonlinear poroelasticity problem
Uses Software
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