First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems
DOI10.1016/j.camwa.2014.11.001zbMath1369.65144arXiv1309.7108OpenAlexW2057644340WikidataQ115993936 ScholiaQ115993936MaRDI QIDQ2400684
Huangxin Chen, Weifeng Qiu, Guosheng Fu, Jingzhi Li
Publication date: 30 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.7108
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms
- A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
- A class of discontinuous Petrov-Galerkin methods. I: The transport equation
- An error analysis of least-squares finite element method of velocity- pressure-vorticity formulation for Stokes problem
- On the role of boundary conditions for CIP stabilization of higher order finite elements
- Weak imposition of Dirichlet boundary conditions in fluid mechanics
- Least-squares finite element methods
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Analysis of the \(L^2\) least-squares finite element method for the velocity-vorticity-pressure Stokes equations with velocity boundary conditions.
- Residual-free bubbles for advection-diffusion problems: The general error analysis
- A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- A least-squares finite element method for incompressible flow in stress-velocity-pressure version
- Least Squares for the Perturbed Stokes Equations and the Reissner--Mindlin Plate
- Improved Least-squares Error Estimates for Scalar Hyperbolic Problems
- Adaptivity and variational stabilization for convection-diffusion equations
- A Unified Discontinuous Petrov--Galerkin Method and Its Analysis for Friedrichs' Systems
- Robust DPG Method for Convection-Dominated Diffusion Problems
- An analysis of the practical DPG method
- A Novel Least-Squares Finite Element Method Enriched with Residual-Free Bubbles for Solving Convection-Dominated Problems
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Analysis of the DPG Method for the Poisson Equation
- Steady-state convection-diffusion problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
- A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
- Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity
- Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
- A Weighted $H(div)$ Least-Squares Method for Second-Order Elliptic Problems
- First-Order System Least Squares (FOSLS) for Convection-Diffusion Problems: Numerical Results
- Finite Element Methods of Least-Squares Type
- Issues Related to Least-Squares Finite Element Methods for the Stokes Equations
- A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
- Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
- Analysis of Least Squares Finite Element Methods for the Stokes Equations
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs
- Least-Squares Methods for Linear Elasticity
- Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
- First-Order System Least-Squares for Elliptic Problems with Robin Boundary Conditions
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Adaptive Petrov--Galerkin Methods for First Order Transport Equations
- Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence
- Discontinuous Galerkin Methods for Friedrichs’ Systems. Part II. Second‐order Elliptic PDEs
- A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
- Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory