Multiscale stabilization for convection-diffusion equations with heterogeneous velocity and diffusion coefficients
From MaRDI portal
Publication:2179056
DOI10.1016/j.camwa.2019.11.002zbMath1437.65181arXiv1807.11529OpenAlexW2989597196WikidataQ126625128 ScholiaQ126625128MaRDI QIDQ2179056
Eric T. Chung, Wing Tat Leung, Yalchin R. Efendiev
Publication date: 12 May 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.11529
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) 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 (2)
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations ⋮ Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Convection Diffusion Equation
Cites Work
- Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm
- A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms
- Generalized multiscale finite element methods (GMsFEM)
- Mode decomposition methods for flows in high-contrast porous media. Global-local approach
- Generalized multiscale finite element method. Symmetric interior penalty coupling
- Multiscale empirical interpolation for solving nonlinear PDEs
- A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
- A generalized multiscale finite element method for the Brinkman equation
- A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D
- Multiscale finite element methods for high-contrast problems using local spectral basis functions
- A multiscale/stabilized finite element method for the advection-diffusion equation
- An adaptive GMsFEM for high-contrast flow problems
- The heterogeneous multiscale methods
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Least-squares finite element methods
- The role of continuity in residual-based variational multiscale modeling of turbulence
- Approximate symmetrization and Petrov-Galerkin methods for diffusion- convection problems
- An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables
- The variational multiscale method -- a paradigm for computational mechanics
- Analysis of upscaling absolute permeability
- Global-local nonlinear model reduction for flows in heterogeneous porous media
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- Ensemble level multiscale finite element and preconditioner for channelized systems and applications
- Least-squares mixed generalized multiscale finite element method
- Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
- Improving stability of stabilized and multiscale formulations in flow simulations at small time steps
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Multiscale finite element methods for nonlinear problems and their applications
- Robust DPG Method for Convection-Dominated Diffusion Problems
- Coarse-Grid Multiscale Model Reduction Techniques for Flows in Heterogeneous Media and Applications
- Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
- Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
- A new multiscale finite element method for high-contrast elliptic interface problems
- Multiscale Finite Element Methods
- Finite Element Methods of Least-Squares Type
- Convection Enhanced Diffusion for Periodic Flows
- Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems
- An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems
- Robust Multiscale Iterative Solvers for Nonlinear Flows in Highly Heterogeneous Media
- An Online Generalized Multiscale Discontinuous Galerkin Method (GMsDGM) for Flows in Heterogeneous Media
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
- An Overview of the Discontinuous Petrov Galerkin Method
- ASYMPTOTIC EXPANSIONS FOR HIGH-CONTRAST ELLIPTIC EQUATIONS
- MULTISCALE NUMERICAL METHODS FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS
- Analysis of a Multiscale Discontinuous Galerkin Method for Convection‐Diffusion Problems
This page was built for publication: Multiscale stabilization for convection-diffusion equations with heterogeneous velocity and diffusion coefficients
