Bayesian Numerical Homogenization
type: Item
instance of: scholarly article
title: Bayesian Numerical Homogenization
zbMATH Open document ID: 1322.35002
DOI: 10.1137/140974596
author: Houman Owhadi
published in: Multiscale Modeling & Simulation
publication date: 2015-07-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1406.6668
full work available at URL: https://authors.library.caltech.edu/61485/
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 65C50
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 62C10
zbMATH DE Number: 6467962
zbMATH Keywords: numerical homogenization
zbMATH Keywords: Bayesian inference
zbMATH Keywords: Bayesian numerical analysis
zbMATH Keywords: coarse graining
zbMATH Keywords: polyharmonic splines
zbMATH Keywords: Gaussian filtering
MaRDI profile type: Publication
OpenAlex ID: W1856502440
arXiv ID: 1406.6668
cites work: Finite Element Heterogeneous Multiscale Method for the Wave Equation
cites work: Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces
cites work: A Multiscale Finite Element Method for Numerical Homogenization
cites work: Subgrid Upscaling and Mixed Multiscale Finite Elements
cites work: IMPROVED ACCURACY FOR ALTERNATING-DIRECTION METHODS FOR PARABOLIC EQUATIONS BASED ON REGULAR AND MIXED FINITE ELEMENTS
cites work: Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
cites work: Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
cites work: A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
cites work: Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
cites work: Can a finite element method perform arbitrarily badly?
cites work: Corrector theory for MsFEM and HMM in random media
cites work: Q4189539
cites work: Flux norm approach to finite-dimensional homogenization approximations with non-separated scales and high contrast
cites work: Sparse high order FEM for elliptic sPDEs
cites work: A variant of stochastic homogenization theory for elliptic operators.
cites work: Stochastic homogenization and random lattices
cites work: Q5268619
cites work: A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs
cites work: A new multiscale finite element method for high-contrast elliptic interface problems
cites work: Q4075901
cites work: Q3823781
cites work: A non-adapted sparse approximation of PDEs with stochastic inputs
cites work: Q4110059
cites work: Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
cites work: The heterogeneous multiscale methods
cites work: Multiscale finite element methods for high-contrast problems using local spectral basis functions
cites work: Accurate multiscale finite element methods for two-phase flow simulations
cites work: Multiscale finite element methods for porous media flows and their applications
cites work: Q4702909
cites work: DESIGN UNDER UNCERTAINTY EMPLOYING STOCHASTIC EXPANSION METHODS
cites work: Multi-scale methods for wave propagation in heterogeneous media
cites work: Asymptotic and numerical homogenization
cites work: Ingredients for a general purpose stochastic finite elements implementation
cites work: An Analytical Framework for the Numerical Homogenization of Monotone Elliptic Operators and Quasiconvex Energies
cites work: Q3267544
cites work: The AL basis for the solution of elliptic problems in heterogeneous media
cites work: Multiscale modeling of fluctuations in stochastic elliptic PDE models of nanosensors
cites work: A multiscale finite element method for elliptic problems in composite materials and porous media
cites work: Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
cites work: Q3051175
cites work: Localization of elliptic multiscale problems
cites work: Kriging, cokriging, radial basis functions and the role of positive definiteness
cites work: A Framework for Adaptive Multiscale Methods for Elliptic Problems
cites work: Bayes-Hermite quadrature
cites work: Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games
cites work: Brittleness of Bayesian inference and new Selberg formulas
cites work: Brittleness of Bayesian inference under finite information in a continuous world
cites work: On the brittleness of Bayesian inference
cites work: Homogenization of Parabolic Equations with a Continuum of Space and Time Scales
cites work: Metric-based upscaling
cites work: Numerical homogenization of the acoustic wave equations with a continuum of scales
cites work: Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast
cites work: Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
cites work: Q3965348

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