MULTISCALE NUMERICAL METHODS FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS
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Publication:5695022
DOI10.1142/S0219876204000071zbMath1182.76902OpenAlexW2113490770MaRDI QIDQ5695022
Peter J. Park, Thomas Yizhao Hou
Publication date: 11 October 2005
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219876204000071
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)
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Cites Work
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- An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows
- Finite element methods for convection-diffusion problems using exponential splines on triangles
- Non-homogeneous media and vibration theory
- The numerical solutions of interface problems by infinite element method
- A comparison of uniformly convergent difference schemes for two- dimensional convection diffusion problems
- Convection-enhanced diffusion for random flows
- Statistical topography. II: Two-dimensional transport of a passive scalar
- A multiscale finite element method for elliptic problems in composite materials and porous media
- A hybrid numerical method for high contrast conductivity problems
- Finite element methods and their convergence for elliptic and parabolic interface problems
- Diffusion in turbulence
- A novel nonconforming uniformly convergent finite element method in two dimensions
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
- A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
- Convection of Microstructure and Related Problems
- Effective conductivity of periodic composites composed of two very unequal conductors
- Fast dynamo action in a steady flow
- Scalar transport and alpha-effect for a family of cat's-eye flows
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Enhanced diffusivity and intercell transition layers in 2-D models of passive advection
- Diffusion and geometric effects in passive advection by random arrays of vortices
- Elliptic Partial Differential Equations of Second Order
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- Convection Enhanced Diffusion for Periodic Flows
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
- Wavelet-Based Numerical Homogenization
- A turbulent transport model: Streamline results for a class of random velocity fields in the plane
- Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
- Convergence of a Nonconforming Multiscale Finite Element Method
- Diffusion by a Random Velocity Field
- RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER