An Asymptotic Preserving Method for Transport Equations with Oscillatory Scattering Coefficients
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Publication:4601610
DOI10.1137/16M109212XzbMath1395.65081arXiv1609.00412MaRDI QIDQ4601610
Publication date: 17 January 2018
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00412
Singular perturbations in context of PDEs (35B25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Linear first-order PDEs (35F05)
Related Items (3)
Multiscale Numerical Schemes for the Collisional Vlasov Equation in the Finite Larmor Radius Approximation Regime ⋮ Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation ⋮ A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient
Cites Work
- Unnamed Item
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- Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy
- Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics
- The heterogeneous multiscale methods
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics
- Numerical methods for multiscale elliptic problems
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
- Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling
- Asymptotic-Preserving Schemes for Fluid Models of Plasmas
- Half-space kinetic equations with general boundary conditions
- Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit
- Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
- Exponential Runge–Kutta Methods for Stiff Kinetic Equations
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- The heterogeneous multiscale method
- Localization of elliptic multiscale problems
- Metric-based upscaling
- Asymptotic analysis of transport processes
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
- Homogenization and Diffusion Asymptotics of the Linear Boltzmann Equation
- Homogenization of Transport Equations
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Numerical methods for kinetic equations
- Homogenization of the criticality spectral equation in neutron transport
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- Diffusion Approximation and Computation of the Critical Size
- Diffusion and Homogenization Limits with Separate Scales
- Convergence of a Nonconforming Multiscale Finite Element Method
- Implicit Asymptotic Preserving Method for Linear Transport Equations
- An Analytical Framework for the Numerical Homogenization of Monotone Elliptic Operators and Quasiconvex Energies
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