Radiative-conductive transfer equation in spherical geometry: arithmetic stability for decomposition using the condition number criterion

DOI10.1007/S10665-020-10059-2zbMath1452.65313OpenAlexW3048767774MaRDI QIDQ2212091

Marco Túllio de Vilhena, Bardo E. J. Bodmann, Cibele A. Ladeia

Publication date: 18 November 2020

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-020-10059-2

zbMATH Keywords

spherical geometrymodified decomposition methodcondition number convergence criterionradiative conductive transfer equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stefan problems, phase changes, etc. (80A22) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical quadrature and cubature formulas (65D32) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Diffusive and convective heat and mass transfer, heat flow (80A19) Radiative heat transfer (80A21)

Cites Work

• On the Radiative Conductive Transfer Equation: A Heuristic Convergence Criterion by Stability Analysis
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