On a Multiscale Hybrid-Mixed Method for Advective-Reactive Dominated Problems with Heterogeneous Coefficients
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Publication:5266231
DOI10.1137/130938499zbMath1317.65222OpenAlexW2005923469MaRDI QIDQ5266231
Frédéric Valentin, Diego Paredes, Christopher Harder
Publication date: 30 July 2015
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/130938499
finite elementmultiscalehybrid methodreaction-advection-diffusion equationsingularly perturbed model
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)
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Cites Work
- Unnamed Item
- Unnamed Item
- A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients
- Numerical multiscale methods for a reaction-dominated model
- The heterogeneous multiscale methods
- Multiscale methods for advection-diffusion problems
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Discontinuous Galerkin methods for coupled flow and reactive transport problems
- On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
- Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions
- A hybrid-mixed method for elasticity
- Multiscale mortar mixed methods for heterogeneous elliptic problems
- A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
- Capturing Small Scales in Elliptic Problems Using a Residual-Free Bubbles Finite Element Method
- A Generalized Convection-Diffusion Model for Subgrid Transport in Porous Media
- Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: general nonconforming meshes
- Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems
- Multiscale Hybrid-Mixed Method
- A Multiscale Mortar Mixed Finite Element Method
- MULTISCALE NUMERICAL METHODS FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS
- The discontinuous enrichment method
