Local projection stabilized finite element methods for advection-reaction problems
DOI10.1007/s10092-023-00540-6zbMath1530.65164arXiv2009.00532MaRDI QIDQ6083156
Sashikumaar Ganesan, Deepika Garg
Publication date: 31 October 2023
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.00532
finite element methodadvection-reaction equationstability and error estimatesgeneralized local projection stabilization
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) A priori estimates in context of PDEs (35B45) Finite element methods applied to problems in fluid mechanics (76M10) Reaction effects in flows (76V05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stabilization by local projection for convection-diffusion and incompressible flow problems
- Mathematical aspects of discontinuous Galerkin methods.
- Equal-order finite elements with local projection stabilization for the Darcy-brinkman equations
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems
- Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Theory and practice of finite elements.
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
- On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces
- Minimal stabilization for discontinuous Galerkin finite element methods for hyperbolic problems
- Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for $H^1$-stability of the $L^2$-projection onto finite element spaces
- An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence
- A Non-Conforming Least Squares Spectral Element Formulation for Oseen Equations with Applications to Navier-Stokes Equations
- Local projection stabilization of equal order interpolation applied to the Stokes problem
- A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation
- A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- A continuous finite element method with face penalty to approximate Friedrichs' systems
- A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
- The P1mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
- Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
- Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem
- Patch‐wise local projection stabilized finite element methods for convection–diffusion–reaction problems
- A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
- Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
- Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditions
- Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
This page was built for publication: Local projection stabilized finite element methods for advection-reaction problems