A new optimal error analysis of a mixed finite element method for advection-diffusion-reaction Brinkman flow
DOI10.1002/NUM.23097zbMATH Open1545.65362MaRDI QIDQ6590568
Publication date: 21 August 2024
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
mixed finite element methodRaviart-Thomas elementoptimal error estimateBrinkman flowNédélec edge element
PDEs in connection with fluid mechanics (35Q35) 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) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Title not available (Why is that?)
- A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem
- Automated solution of differential equations by the finite element method. The FEniCS book
- Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows
- On a vorticity-based formulation for reaction-diffusion-Brinkman systems
- Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- A block-diagonal algebraic multigrid preconditioner for the Brinkman problem
- A Simple Introduction to the Mixed Finite Element Method
- A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
- MODELING POLYMERIC CONTROLLED DRUG RELEASE AND TRANSPORT PHENOMENA IN THE ARTERIAL TISSUE
- An Optimal-Order Error Estimate for a Family of ELLAM-MFEM Approximations to Porous Medium Flow
- Finite element exterior calculus: from Hodge theory to numerical stability
- Finite Element Methods for Navier-Stokes Equations
- Convective Diffusion of an Enzyme Reaction
- Kinetic‐fluid derivation and mathematical analysis of the cross‐diffusion–Brinkman system
- Pure vorticity formulation and Galerkin discretization for the Brinkman equations
- Mixed Finite Element Methods and Applications
- New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media
- A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media
- A Surface Phase Field Model for Two-Phase Biological Membranes
- A Mixed Formulation for the Brinkman Problem
This page was built for publication: A new optimal error analysis of a mixed finite element method for advection-diffusion-reaction Brinkman flow
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6590568)
