Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
DOI10.1080/00036811.2021.1877677zbMath1497.65184arXiv1908.09778OpenAlexW3127506396MaRDI QIDQ5867290
Nitesh Verma, Ricardo Ruiz-Baier, Sarvesh Kumar, Bryan Gomez-Vargas, Luis Miguel De Oliveira Vilaca
Publication date: 13 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09778
reaction-diffusionBiot equationswell-posedness and stabilitymixed finite element schemenumerical experiments and error estimates
Numerical computation of solutions to systems of equations (65H10) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Finite difference methods applied to problems in solid mechanics (74S20) Biomechanics (92C10) Biomechanical solid mechanics (74L15) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74) Preconditioners for iterative methods (65F08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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