An adaptive finite element method for evolutionary convection dominated problems
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Publication:423484
DOI10.1016/j.cma.2011.08.010zbMath1239.65063OpenAlexW1992527415MaRDI QIDQ423484
Bosco García-Archilla, Javier de Frutos, Julia Novo
Publication date: 2 June 2012
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.2011.08.010
Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems
- Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
- An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Layer-adapted meshes for convection-diffusion problems
- A numerical study of a posteriori error estimators for convection-diffusion equations
- Local projection methods on layer-adapted meshes for higher order discretisations of convection-diffusion problems
- An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems
- Stability and accuracy of adapted finite element methods for singularly perturbed problems
- How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers?
- On an Adaptive Multigrid Solver for Convection-Dominated Problems
- Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations
- Algorithms for refining triangular grids suitable for adaptive and multigrid techniques
- Steady-state convection-diffusion problems
- Design and data structure of fully adaptive, multigrid, finite-element software
- A Lower Bound on the Angles of Triangles Constructed by Bisecting the Longest Side
- Adaptive Lagrange–Galerkin methods for unsteady convection-diffusion problems
- A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
- Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems
- An Adaptive Finite Element Method for Unsteady Convection-Dominated Flows with Stiff Source Terms
- Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion
- Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
- Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations
