Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems

DOI10.1051/m2an:2005050zbMath1084.65105OpenAlexW1996347156MaRDI QIDQ5715738

Carlo L. Bottasso, Paola Causin, Riccardo Sacco

Publication date: 5 January 2006

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_6_1087_0

zbMATH Keywords

convergencenumerical examplesfinite element methodsupwindingadvection-diffusion problemsnonconforming finite elementsstabilized finite elementsmixed and hybrid methodsdiscontinuous Galerkin and Petrov-Galerkin methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items

FOSLL* for Nonlinear Partial Differential Equations, A finite element–finite volume discretization of convection‐diffusion‐reaction equations with nonhomogeneous mixedboundary conditions: Error estimates, Limit Galerkin-Petrov schemes for a nonlinear convection-diffusion equation, A class of discontinuous Petrov-Galerkin methods. III: Adaptivity, Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012, An Overview of the Discontinuous Petrov Galerkin Method, A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions, Galerkin-Petrov limit schemes for the convection-diffusion equation, $L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation

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