Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media
From MaRDI portal
Publication:6618180
DOI10.1080/03605302.2024.2374568MaRDI QIDQ6618180
Felix Otto, Jianfeng Lu, Lihan Wang
Publication date: 14 October 2024
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Cites Work
- Special quasirandom structures: a selection approach for stochastic homogenization
- Mesoscopic higher regularity and subadditivity in elliptic homogenization
- Correlation structure of the corrector in stochastic homogenization
- Normal approximation for a random elliptic equation
- An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation
- Probability in Banach spaces. Isoperimetry and processes
- An optimal variance estimate in stochastic homogenization of discrete elliptic equations
- Periodic homogenization of elliptic systems
- A regularity theory for random elliptic operators
- Annealed estimates on the Green function
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Central limit theorem for random processes with sample paths in exponential Orlicz spaces
- Approximations of effective coefficients in stochastic homogenization
- Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
- Quantitative results on the corrector equation in stochastic homogenization
- High order correctors and two-scale expansions in stochastic homogenization
- Efficient methods for the estimation of homogenized coefficients
- On a homogenization problem
- Averaging of symmetric diffusion in random medium
- Spectral measure and approximation of homogenized coefficients
- Scaling limit of the corrector in stochastic homogenization
- Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations
- Optimal artificial boundary condition for random elliptic media
- Quantitative estimates in stochastic homogenization for correlated coefficient fields
- Higher-order pathwise theory of fluctuations in stochastic homogenization
- Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics
- The choice of representative volumes in the approximation of effective properties of random materials
- On the averaged Green's function of an elliptic equation with random coefficients
- The additive structure of elliptic homogenization
- On homogenization and scaling limit of some gradient perturbations of a massless free field
- An optimal error estimate in stochastic homogenization of discrete elliptic equations
- Scaling limit of fluctuations in stochastic homogenization
- Quantitative stochastic homogenization of convex integral functionals
- A higher-order large-scale regularity theory for random elliptic operators
- A quantitative central limit theorem for the effective conductance on the discrete torus
- Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations
- Some variance reduction methods for numerical stochastic homogenization
- Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- The heterogeneous multiscale method
- Localization of elliptic multiscale problems
- Effective multipoles in random media
- Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- Multiscale Finite Element Methods
- Compactness methods in the theory of homogenization
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- Stochastic Homogenization of Linear Elliptic Equations: Higher-Order Error Estimates in Weak Norms Via Second-Order Correctors
- Quantitative stochastic homogenization: local control of homogenization error through corrector
- Computing homogenized coefficientsviamultiscale representation and hierarchical hybrid grids
- An iterative method for elliptic problems with rapidly oscillating coefficients
- A remark on a surprising result by Bourgain in homogenization
- Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth
- Bayesian Numerical Homogenization
- Corrector Estimates for Elliptic Systems with Random Periodic Coefficients
- Quantitative Stochastic Homogenization and Large-Scale Regularity
- A Priori Error Analysis of a Numerical Stochastic Homogenization Method
- Non-perturbative approach to the Bourgain-Spencer conjecture in stochastic homogenization
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
This page was built for publication: Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6618180)