Slab geometry transport spatial discretization schemes with infinite-order convergence

DOI10.1080/00411458608212708zbMath0608.65099OpenAlexW1976759988MaRDI QIDQ3747694

Marvin L. Adams, William R. Martin

Publication date: 1986

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458608212708

zbMATH Keywords

finite element methodspectral element methodnumerical examplestransport equationcollocationspectral methodexponential convergenceorder of convergencetruncation errorspectral element methodmean weighted residuals

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry

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