A Perfectly Matched Layer Approach for $P_N$-Approximations in Radiative Transfer

DOI10.1137/18M1172521zbMath1428.65062arXiv1802.08305OpenAlexW2972130953MaRDI QIDQ5233115

Matthias Schlottbom, Herbert Egger

Publication date: 16 September 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08305

zbMATH Keywords

radiative transferGalerkin approximationperfectly matched layers\(P_N\) method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Waves and radiation in optics and electromagnetic theory (78A40) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (3)

On a convergent DSA preconditioned source iteration for a DGFEM method for radiative transfer ⋮ A spherical harmonic discontinuous Galerkin method for radiative transfer equations with vacuum boundary conditions ⋮ On robustly convergent and efficient iterative methods for anisotropic radiative transfer

Cites Work

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• Sparse tensor spherical harmonics approximation in radiative transfer
• Sparse adaptive finite elements for radiative transfer
• Boundary value problems for transport equations
• A perfectly matched layer for the absorption of electromagnetic waves
• A multigrid algorithm for solving the multi-group, anisotropic scattering Boltzmann equation using first-order system least-squares methodology
• A pseudospectral method for solution of the radiative transport equation
• Preconditioning of complex symmetric linear systems with applications in optical tomography
• A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION
• A Finite Element Method for the Even-Parity Radiative Transfer Equation Using the P N Approximation
• Optical tomography in medical imaging
• INVERSE RADIOTHERAPY TREATMENT PLANNING MODEL APPLYING BOLTZMANN-TRANSPORT EQUATION
• A Boundary Functional for the Least-Squares Finite- Element Solution of Neutron Transport Problems
• AnL^ptheory for stationary radiative transfer

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