An adaptive stabilized finite element scheme for a water quality model

DOI10.1016/j.cma.2006.07.019zbMath1123.76027OpenAlexW1970584669MaRDI QIDQ2384365

Rodolfo Rodríguez, Edwin M. Behrens, Rodolfo A. Araya

Publication date: 20 September 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.07.019

zbMATH Keywords

a posteriori error estimatesadvection-reaction-diffusion problemDirac delta source term

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items (5)

Projection in negative norms and the regularization of rough linear functionals ⋮ A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source ⋮ Adaptive finite element methods for an optimal control problem involving Dirac measures ⋮ Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications ⋮ Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A posteriori error estimates for elliptic problems with Dirac delta source terms
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Stabilized finite element methods. I.: Application to the advective- diffusive model
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• A posteriori error estimators for convection-diffusion equations
• Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
• Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation
• An a posteriori error estimate for finite element approximations of a singularly perturbed advection-diffusion problem
• Stabilized finite element methods with shock capturing for advection-diffusion problems
• On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
• Theory and practice of finite elements.
• An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
• A robust a posteriori estimator for the residual-free bubbles method applied to advection-diffusion problems

This page was built for publication: An adaptive stabilized finite element scheme for a water quality model