Analysis of an HDG method for the Navier–Stokes equations with Dirac measures
DOI10.1051/m2an/2022068zbMath1516.65135MaRDI QIDQ6041077
Publication date: 25 May 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Navier-Stokes equationDiracdivergence-freehybridized discontinuous Galerkin method\textit{a posteriori} error estimate
Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) PDEs with measure (35R06)
Cites Work
- A posteriori error estimates for HDG methods
- Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
- A posteriori error estimates for elliptic problems with Dirac delta source terms
- Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications
- A regularity result for the Stokes problem in a convex polygon
- A posteriori error estimators for convection-diffusion equations
- A priori and a posteriori error analyses of an HDG method for the Brinkman problem
- A hybridizable discontinuous Galerkin method for the Navier-Stokes equations with pointwise divergence-free velocity field
- A posteriori error estimates for the Stokes problem with singular sources
- An embedded-hybridized discontinuous Galerkin finite element method for the Stokes equations
- Adaptive HDG methods for the steady-state incompressible Navier-Stokes equations
- Adaptive HDG methods for the Brinkman equations with application to optimal control
- A posteriori error estimates in \(W^{1,p}\times L^p\) spaces for the Stokes system with Dirac measures
- Error estimates for FEM discretizations of the Navier-Stokes equations with Dirac measures
- On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra
- Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems
- Error estimates for optimal control problems involving the Stokes system and Dirac measures
- \textit{A posteriori} error analysis of an HDG method for the Oseen problem
- A weighted setting for the stationary Navier Stokes equations under singular forcing
- A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations
- Analysis of a pressure-robust hybridized discontinuous Galerkin method for the stationary Navier-Stokes equations
- Error-bounds for finite element method
- Finite element convergence for singular data
- Robusta posteriorierror estimates for HDG method for convection–diffusion equations
- Finite Element Methods for Incompressible Flow Problems
- Discontinuous Galerkin methods for problems with Dirac delta source
- Divergence Operator and Related Inequalities
- Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side
- Analysis of HDG methods for Stokes flow
- On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
- A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures
- The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
- A hybridizable discontinuous Galerkin method for linear elasticity
- Finite Element Methods for Navier-Stokes Equations
- The generation of feeding currents by flagellar motions
- Stokes flow due to a Stokeslet in a pipe
- A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- An HDG method for linear elasticity with strong symmetric stresses
- A Posteriori Error Analysis for Hybridizable Discontinuous Galerkin Methods for Second Order Elliptic Problems
- Finite Elements II
- Analysis of a Hybridized/Interface Stabilized Finite Element Method for the Stokes Equations
- An analysis of HDG methods for convection-dominated diffusion problems
- A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source
- An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations
- The Mathematical Theory of Finite Element Methods
- Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations
- Analysis of an adaptive HDG method for the Brinkman problem
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