Stabilized element residual method (SERM): A posteriori error estimation for the advection-diffusion equation

DOI10.1016/0377-0427(96)00014-3zbMath0871.65093OpenAlexW2084089355MaRDI QIDQ2564242

Amit Agarwal, Peter M. Pinsky

Publication date: 26 August 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(96)00014-3

zbMATH Keywords

stabilizationerror estimationEuler-Lagrange equationadvection-diffusion equationelement residual method

Mathematics Subject Classification ID

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

Related Items (6)

A Posteriori Error Estimation for Computational Fluid Dynamics: The Variational Multiscale Approach ⋮ Variational multiscale a posteriori error estimation for multi-dimensional transport problems ⋮ Galerkin projected residual method applied to diffusion-reaction problems ⋮ A review of VMS a posteriori error estimation with emphasis in fluid mechanics ⋮ Numerical investigation of the reliability of a posteriori error estimation for advection-diffusion equations ⋮ A new stabilized finite element formulation for scalar convection-diffusion problems: the streamline and approximate upwind/Petrov-Galerkin method.

Cites Work

• A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods
• Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• A posteriori error estimation of finite element approximations in fluid mechanics
• Adaptive finite elements for flow problems with moving boundaries. I. Variational principles and a posteriori estimates
• A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
• Adaptive remeshing for compressible flow computations
• Stabilized finite element methods. I.: Application to the advective- diffusive model
• A posteriori error estimators for second order elliptic systems. II: An optimal order process for calculating self-equilibrating fluxes
• Adaptive finite element methods for diffusion and convection problems
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• An Adaptive Finite Element Method for Linear Elliptic Problems
• A‐posteriori error estimates for the finite element method
• Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems

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