On the nature of the boundary resonance error in numerical homogenization and its reduction
DOI10.1137/23M1594492MaRDI QIDQ6583628
S. Carney, Milica Dussinger, Björn Engquist
Publication date: 6 August 2024
Published in: Multiscale Modeling \& Simulation (Search for Journal in Brave)
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Homogenization in equilibrium problems of solid mechanics (74Q05) Finite difference methods for boundary value problems involving PDEs (65N06) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Numerical analysis (65-XX)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A reduced basis localized orthogonal decomposition
- Homogenization and boundary layers
- Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation
- The local microscale problem in the multiscale modeling of strongly heterogeneous media: Effects of boundary conditions and cell size
- A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales
- Coarse scale models of two-phase flow in heterogeneous reservoirs: Volume averaged equations and their relationship to existing upscaling techniques
- The variational multiscale method -- a paradigm for computational mechanics
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings
- Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems
- A time dependent approach for removing the cell boundary error in elliptic homogenization problems
- Homogenization of the oscillating Dirichlet boundary condition in general domains
- Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems
- Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
- Reduced-order modelling numerical homogenization
- REDUCTION OF THE RESONANCE ERROR — PART 1: APPROXIMATION OF HOMOGENIZED COEFFICIENTS
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- The heterogeneous multiscale method
- Numerical homogenization: survey, new results, and perspectives
- Multiscale Finite Element Methods
- An Analytical Framework for Numerical Homogenization. Part II: Windowing and Oversampling
- Reduced-Basis Approach for Homogenization beyond the Periodic Setting
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- A parabolic local problem with exponential decay of the resonance error for numerical homogenization
- Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation
- Analysis of Heterogeneous Multiscale Methods for Long Time Wave Propagation Problems
- Heterogeneous multiscale methods for stiff ordinary differential equations
- Oversampling for the Multiscale Finite Element Method
- Numerical homogenization beyond scale separation
- On linear differential equations with periodic coefficients
- Reduction in the resonance error in numerical homogenization. II: Correctors and extrapolation
- An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization
This page was built for publication: On the nature of the boundary resonance error in numerical homogenization and its reduction
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6583628)