Stabilized equal lower-order finite element methods for simulating Brinkman equations in porous media

DOI10.1080/00207160.2024.2343102MaRDI QIDQ6625129

Publication date: 28 October 2024

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mathematical modeling or simulation for problems pertaining to fluid mechanics (76-10)

Cites Work

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A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem
On a numerical subgrid upscaling algorithm for Stokes-Brinkman equations
Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation
On Darcy-Brinkman equation: viscous flow between two parallel plates packed with regular square arrays of cylinders
A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
Stabilized equal low-order finite elements in ice sheet modeling -- accuracy and robustness
Analysis of the \(L^2\) least-squares finite element method for the velocity-vorticity-pressure Stokes equations with velocity boundary conditions.
Least-squares finite element methods for generalized Newtonian and viscoelastic flows
Adaptive HDG methods for the Brinkman equations with application to optimal control
A least-squares finite element method for steady flows across an unconfined square cylinder placed symmetrically in a plane channel
A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation
A projection-based stabilized virtual element method for the unsteady incompressible Brinkman equations
A nonlinear weighted least-squares finite element method for the Oldroyd-B viscoelastic flow
Weighted least-squares finite element methods for the linearized Navier–Stokes equations
Finite Element Approximation of Nonsolenoidal, Viscous Flows around Porous and Solid Obstacles
Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
Adaptive weights for mass conservation in a least-squares finite element method
A Uniformly Robust H(DIV) Weak Galerkin Finite Element Methods for Brinkman Problems
A Mixed Formulation for the Brinkman Problem
GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows
Equal lower-order finite elements of least-squares type in Biot poroelasticity modeling

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