A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION

DOI10.1142/S021820251150014XzbMath1247.65163arXiv1512.01154MaRDI QIDQ2893177

Matthias Schlottbom, Herbert Egger

Publication date: 26 June 2012

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01154

zbMATH Keywords

stabilityfinite elementspherical harmonicsGalerkin methodsradiative transfer equationweak and strong solutionsquasi-optimal error estimatesmixed variational methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Waves and radiation in optics and electromagnetic theory (78A40) Radiative transfer in astronomy and astrophysics (85A25)

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Cites Work

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• Sparse adaptive finite elements for radiative transfer
• Some observations on Babuška and Brezzi theories
• Error-bounds for finite element method
• Convergence of a Fully Discrete Scheme for Two-Dimensional Neutron Transport
• Numerical Methods in Multidimensional Radiative Transfer
• Analysis of a Fully Discrete Scheme for Neutron Transport in Two-Dimensional Geometry
• Mixed and Hybrid Finite Element Methods
• Optical tomography in medical imaging
• Least-Squares Finite-Element Solution of the Neutron Transport Equation in Diffusive Regimes

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