A dual Petrov-Galerkin finite element method for the convection-diffusion equation
DOI10.1016/j.camwa.2014.07.008zbMath1364.65192OpenAlexW2006376697WikidataQ115099994 ScholiaQ115099994MaRDI QIDQ2628398
Jesse Chan, Weifeng Qiu, John A. Evans
Publication date: 2 June 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.07.008
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (18)
Uses Software
Cites Work
- A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
- A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D
- A class of discontinuous Petrov-Galerkin methods. I: The transport equation
- Automated solution of differential equations by the finite element method. The FEniCS book
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Convection-diffusion-reaction problems, SDFEM/SUPG and a priori meshes
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- The variational multiscale method -- a paradigm for computational mechanics
- On the constants in \(hp\)-finite element trace inverse inequalities.
- Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Adaptivity and variational stabilization for convection-diffusion equations
- Robust DPG Method for Convection-Dominated Diffusion Problems
- An analysis of the practical DPG method
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Analysis of the DPG Method for the Poisson Equation
- Least‐squares spectral element method applied to the Euler equations
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods
- Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
- Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
- The $p$ and $hp$ versions of the finite element method for problems with boundary layers
- Adaptive Petrov--Galerkin Methods for First Order Transport Equations
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
- The Mathematical Theory of Finite Element Methods
This page was built for publication: A dual Petrov-Galerkin finite element method for the convection-diffusion equation