A multiscale cell boundary element method for elliptic problems
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Publication:842942
DOI10.1016/j.apnum.2008.12.029zbMath1176.65143OpenAlexW2060356727MaRDI QIDQ842942
Publication date: 28 September 2009
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2008.12.029
numerical examplehomogenizationelliptic problemstransport problemmultiscale cell boundary element methodover sampling
Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
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- Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation
- The heterogeneous multiscale methods
- Nonconforming cell boundary element methods for elliptic problems on triangular mesh
- Adaptive hierarchical modeling of heterogeneous structures
- The variational multiscale method -- a paradigm for computational mechanics
- Multiscale finite element for problems with highly oscillatory coefficients
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Finite difference heterogeneous multi-scale method for homogenization problems.
- Analysis of a cell boundary element method
- Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
- Heterogeneous media. Micromechanics modeling methods and simulations
- 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
- Two-grid finite-element schemes for the transient Navier-Stokes problem
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- Large eddy simulation of turbulent channel flows by the variational multiscale method
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- Numerical Homogenization of Nonlinear Random Parabolic Operators
- A cell boundary element method for elliptic problems
- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- Convergence of a Nonconforming Multiscale Finite Element Method