FLUX-UPWIND STABILIZATION OF THE DISCONTINUOUS PETROV-GALERKIN FORMULATION WITH LAGRANGE MULTIPLIERS FOR ADVECTION-DIFFUSION PROBLEMS ∗
Explore this paper's citation graph
- Type
- article
- Published
- 2005-11-01
- Cited by
- 17
- References
- 33
- Access
- Open access
- OpenAlex
- https://openalex.org/W1996347156
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:55641058
Keywords
Petrov–Galerkin method, Mathematics, Upwind scheme, Discretization, Advection
References
- Numerical Methods for Singularly Perturbed Differential Equations
- Connection between finite volume and mixed finite element methods
- Upwind‐mixed methods for transport equations
- Problèmes aux limites non homogènes et applications
- The generalized finite element method
- A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem
- A multiscale formulation of the Discontinuous Petrov–Galerkin method for advective–diffusive problems
- Decentrage et elements finis mixtes pour les equations de diffusion-convection
- The discontinuous Petrov–Galerkin method for elliptic problems
- A Discontinuous Petrov-Galerkin Method with Lagrangian Multipliers for Second Order Elliptic Problems
- Primal hybrid finite element methods for 2nd order elliptic equations
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- The Stationary Semiconductor Device Equations.
- The patch test as a validation of a new finite element for the solution of convection-diffusion equations
- Two-dimensional exponential fitting and applications to drift-diffusion models
- A multilevel discontinuous Galerkin method
- A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle☆
- An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method
- Godunov-mixed methods for advection-diffusion equations in multidimensions
- Solution of the Advection-Diffusion Equation Using a Combination of Discontinuous and Mixed Finite Elements
Cited by
- A class of discontinuous Petrov-Galerkin methods. Part III
- A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions
- Robust Numerical Methods for Singularly Perturbed Differential Equations: A Survey Covering 2008–2012
- Limit Galerkin-Petrov schemes for a nonlinear convection-diffusion equation
- An adaptively weighted Galerkin finite element method for boundary value problems
- Galerkin-petrov limit schemes for the convection-diffusion equation
- L2-Stability Independent of Diffusion for a Finite Element-Finite Volume Discretization of a Linear Convection-Diffusion Equation
- FOSLL* for Nonlinear Partial Differential Equations
- A finite element–finite volume discretization of convection‐diffusion‐reaction equations with nonhomogeneous mixedboundary conditions: Error estimates
- L2-stability of a finite element – finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions
- Robust Numerical Methods for Singularly Perturbed Differential Equations-Supplements
- A CLASS OF DISCONTINUOUS PETROV-GALERKIN METHODS. PART II: OPTIMAL TEST FUNCTIONS
- An Overview of the Discontinuous Petrov Galerkin Method
- Mathematisches Forschungsinstitut Oberwolfach Report No . 5 / 2005 Gemischte und nicht-standard Finite-Elemente-Methoden mit Anwendungen Organised
- Communications in Applied Mathematics and Computational Science
- L 2-STABILITY OF A FINITE ELEMENT – FINITE VOLUME DISCRETIZATION OF CONVECTION-DIFFUSION-REACTION EQUATIONS WITH NONHOMOGENEOUS MIXED BOUNDARY CONDITIONS
- Stabilité de l'équation d'advection-diffusion et stabilité de l'équation d'advection pour la solution du problème approché, obtenue par la méthode upwind d'éléments-finis et de volumes-finis avec des éléments de Crouzeix-Raviart
Related papers
- Composite high resolution localized relaxation scheme based on upwinding for hyperbolic conservation laws
- A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle☆
- Efficient C1-continuous phase-potential upwind (C1-PPU) schemes for coupled multiphase flow and transport with gravity
- A consistent approximate upwind Petrov—Galerkin method for convection-dominated problems
- Nonstandard Meshless Local Petrov-galerkin Method for Solving Convection Diffusion Equation
- Development of central-upwind-WENO scheme for two-phase 1-D drift-flux model
- High-Resolution Upwind Schemes for Solving Mass Transport Equation
- A robust Petrov-Galerkin discretisation of convection-diffusion equations