Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains (Q5197630)

scientific article; zbMATH DE number 7107072

Language	Label	Description	Also known as
English	Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains	scientific article; zbMATH DE number 7107072

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instance of

scholarly article

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title

Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains (English)

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Multiscale Modeling & Simulation

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publication date

19 September 2019

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full work available at URL

https://arxiv.org/abs/1710.09331

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zbMATH Keywords

highly oscillatory PDEs

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describes a project that uses

MsFEM

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FreeFem++

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MaRDI profile type

MaRDI publication profile

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cites work

An extension theorem from connected sets, and homogenization in general periodic domains

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Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes

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Homogenization and Two-Scale Convergence

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Q4279385

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Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media

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Q4282400

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Homogenization of a convection-diffusion model with reaction in a porous medium

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Homogenization of a convection-diffusion equation in perforated domains with a weak adsorption

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The Mathematical Theory of Finite Element Methods

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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

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Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations

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Homogenization results for elliptic problems in periodically perforated domains with mixed-type boundary conditions

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The periodic unfolding method for perforated domains and Neumann sieve models

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Periodic unfolding and Robin problems in perforated domains

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Q4218871

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Homogenization in open sets with holes

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Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains

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Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media

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Multiscale Finite Element Methods

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Theory and practice of finite elements.

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Stabilized finite element methods. I.: Application to the advective- diffusive model

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Elliptic partial differential equations of second order

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New development in freefem++

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The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift

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Homogenization and porous media

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Diffusion, convection, adsorption, and reaction of chemicals in porous media

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Multiscale analysis for convection-dominated transport equations

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Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

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Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods

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MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems

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An MsFEM Type Approach for Perforated Domains

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Stabilization of non-coercive problems using the invariant measure

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A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media

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Asymptotic expansions in perforated media with a periodic structure

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Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary

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Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments

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A priori error estimate of a multiscale finite element method for transport modeling

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Q3945343

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Q4303980

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Robust Numerical Methods for Singularly Perturbed Differential Equations

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Dispersion and Convection in Periodic Porous Media

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Steady-state convection-diffusion problems

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Identifiers

zbMATH Open document ID

1423.35022

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DOI

10.1137/17M1152048

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5197630