A semi-implicit stochastic multiscale method for radiative heat transfer problem in composite materials

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Cites Work

Generalized multiscale finite element methods (GMsFEM)
Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations
Simulating finger phenomena in porous media with a moving finite element method
Multi-scale modeling and simulation in materials science, preface
Multiscale finite element methods for high-contrast problems using local spectral basis functions
A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
Semi-implicit time integration for \(P_N\) thermal radiative transfer
A multiscale finite element method for elliptic problems in composite materials and porous media
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
Constraint energy minimizing generalized multiscale finite element method
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
Convergence analysis of constraint energy minimizing generalized multiscale finite element method for a linear stochastic parabolic partial differential equation driven by additive noises
Variational approach for learning Markov processes from time series data
Numerical methods for stochastic partial differential equations with white noise
Predictor-corrector Halley method for nonlinear equations
An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
Variational Multiscale Analysis: The Fine-Scale Green's Function for Stochastic Partial Differential Equations
A Domain Decomposition Approach for Uncertainty Analysis
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
Asymptotic Transport Models for Heat and Mass Transfer in Reactive Porous Media
Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
Strong approximation of monotone stochastic partial differential equations driven by white noise
A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast
MultiscaleComputations fortheMaxwell–Schrödinger System in Heterogeneous Nanostructures
Online Adaptive Basis Enrichment for Mixed CEM-GMsFEM
Fractal Homogenization of Multiscale Interface Problems
Global Regularity and Multiscale Approach for Thermal Radiation Heat Transfer
On Predictor-Corrector Methods for Nonlinear Parabolic Differential Equations

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