The stationary Boussinesq problem under singular forcing
DOI10.1142/S0218202521500196zbMath1473.35432arXiv2005.07548OpenAlexW3126691429MaRDI QIDQ5164221
Abner J. Salgado, Alejandro Allendes, Enrique Otárola
Publication date: 10 November 2021
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.07548
Navier-Stokes equationsfinite element approximationMuckenhoupt weightssingular sourcesweighted estimatesBoussinesq problem\textit{a posteriori} error estimates
PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) PDEs with measure (35R06) Incompressible viscous fluids (76Dxx)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Finite element approximation of the Navier-Stokes equations
- Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications
- A stable finite element for the Stokes equations
- A posteriori error estimators for the Stokes equations
- Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
- Nonlinear potential theory and weighted Sobolev spaces
- The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing
- Theory and practice of finite elements.
- A recursive approach to local mesh refinement in two and three dimensions
- Stationary solutions for generalized Boussinesq models
- A posteriori error estimates for the Stokes problem with singular sources
- Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis
- A diffuse interface model for two-phase ferrofluid flows
- Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem
- A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES
- Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
- A posteriorierror estimates for elliptic problems with Dirac measure terms in weighted spaces
- Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- The equations of ferrohydrodynamics: Modeling and numerical methods
- The Preservation of Convergence of Measurable Functions Under Composition
- Finite Element Methods for Navier-Stokes Equations
- The local regularity of solutions of degenerate elliptic equations
- Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
- A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
- A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources
- On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities
- The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 1: Analysis of the continuous problem
- The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 2: The discrete problem and numerical experiments
- The Mathematical Theory of Finite Element Methods
- An exactly divergence-free finite element method for a generalized Boussinesq problem
- Weighted Norm Inequalities for the Hardy Maximal Function
This page was built for publication: The stationary Boussinesq problem under singular forcing
