A new stabilized finite element method for reaction-diffusion problems: The source-stabilized Petrov-Galerkin method
DOI10.1002/nme.2324zbMath1158.76351OpenAlexW2072653745MaRDI QIDQ3619755
Jean-François Hétu, Florin Ilinca
Publication date: 9 April 2009
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.2324
Taylor series expansionPetrov-Galerkinstabilized finite elementsoscillation-free solutionssource stabilization
Diffusion (76R50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Cites Work
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- The Galerkin gradient least-squares method
- Finite element methods for the Helmholtz equation in an exterior domain: Model problems
- Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
- Improved finite element methods for elastic waves
- Reducing spurious dispersion, anisotropy and reflection in finite element analysis of time-harmonic acoustics
- A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation
- On stabilized finite element formulations for incompressible advective-diffusive transport and fluid flow problems
- The continuous Galerkin method is locally conservative
- Galerkin gradient least-squares formulations for transient conduction heat transfer
- On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
- Accurate finite difference methods for time-harmonic wave propagation
- Combining stabilized finite element methods
- Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Enriched finite element methods for unsteady reaction-diffusion problems
- Residual-free bubbles for the Helmholtz equation
- COMBINING ADJOINT STABILIZED METHODS FOR THE ADVECTION-DIFFUSION-REACTION PROBLEM
This page was built for publication: A new stabilized finite element method for reaction-diffusion problems: The source-stabilized Petrov-Galerkin method