Multilevel source iteration accelerators for the linear transport equation in slab geometry

DOI10.1080/00411459508206021zbMath0871.65114OpenAlexW2114784631MaRDI QIDQ4337837

Carl. T. Kelley

Publication date: 1 October 1997

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

Full work available at URL: https://doi.org/10.1080/00411459508206021

zbMATH Keywords

error estimatesnumerical experimentstransport equationslab geometryGMRES iterationsource iterationAtkinson-Brakhage approximate inverseAtkinson-Brakhage preconditionerfast multilevel methodsKendall Square KSR1 computer

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Parallel numerical computation (65Y05) Transport processes in time-dependent statistical mechanics (82C70) Radiative transfer in astronomy and astrophysics (85A25)

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Existence and Uniqueness of a Steady State Solution of a Coupled Radiative–Conductive Heat Transfer Problem for a Non-grey Anisotropically and Participating Medium ⋮ Numerical solvers for radiation and conduction in high temperature gas flows ⋮ CONVERGENCE OF A NUMERICAL SCHEME FOR A NONLINEAR COUPLED SYSTEM OF RADIATIVE-CONDUCTIVE HEAT TRANSFER EQUATIONS ⋮ Efficient numerical methods for radiation in gas turbines ⋮ Convergence estimates for solution of integral equations with GMRES ⋮ Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations ⋮ Radiative Heat Transfer and Applications for Glass Production Processes

Cites Work

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• Iterative variants of the Nystrom method for the numerical solution of integral equations
• Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry
• The acceleration of anisotropic transport iterations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry
• How Fast are Nonsymmetric Matrix Iterations?
• Fast Algorithms for Nonsmooth Compact Fixed-Point Problems

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