Least-Squares Finite-Element Solution of the Neutron Transport Equation in Diffusive Regimes

DOI10.1137/S0036142996299708zbMath0956.65125MaRDI QIDQ4389156

Klaus J. Ressel, Thomas A. Manteuffel

Publication date: 12 May 1998

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

zbMATH Keywords

convergenceerror boundsBoltzmann equationmultigrid methodmultilevel methodsdiffusion limitneutron transport equationfinite-element discretizationleast-squares variational formulation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05)

Related Items (13)

A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION ⋮ Multigrid algorithms for solving multigroup neutron transport equations ⋮ A Least-Squares Transport Equation Compatible with Voids ⋮ Least-Squares Finite Element Discretization of the Neutron Transport Equation in Spherical Geometry ⋮ Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems ⋮ Sparse adaptive finite elements for radiative transfer ⋮ Stationary radiative transfer with vanishing absorption ⋮ New Variational Formulations for the Neutron Transport Equation ⋮ An accurate solver for forward and inverse transport ⋮ Implicit filtered \(P_N\) for high-energy density thermal radiation transport using discontinuous Galerkin finite elements ⋮ A Least-Squares Finite Element Reduced Basis Method ⋮ Parallel FE approximation of the even/odd-parity form of the linear Boltzmann equation. ⋮ Theoretical and numerical analysis of a minimal residual solver for 2D Boltzmann transport equation

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