Convergence of a Fully Discrete Scheme for Two-Dimensional Neutron Transport
From MaRDI portal
Publication:3325000
DOI10.1137/0720065zbMath0538.65097OpenAlexW2077809296MaRDI QIDQ3325000
Claes Johnson, Juhani Pitkäranta
Publication date: 1983
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0720065
error estimatediscrete ordinates methoddiscontinuous Galerkin finite element methodpiecewise linearfully discrete methodtwo-dimensional model problem in neutron transport
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)
Related Items
Discontinuous Galerkin solutions for elliptic problems on polygonal grids using arbitrary-order Bernstein-Bézier functions ⋮ SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY ⋮ SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY ⋮ A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION ⋮ A generalized mean intensity approach for the numerical solution of the radiative transfer equation ⋮ A weakly penalized discontinuous Galerkin method for radiation in dense, scattering media ⋮ A posteriori error control in radiative transfer ⋮ Finite element methods for linear hyperbolic problems ⋮ Spectral analysis of numerical methods for discrete-ordinates problems. I ⋮ Standard and goal-oriented adaptive mesh refinement applied to radiation transport on 2D unstructured triangular meshes ⋮ A class of Galerkin Schemes for Time-Dependent Radiative Transfer ⋮ On a convergent DSA preconditioned source iteration for a DGFEM method for radiative transfer ⋮ On Solution Regularity of the Two-Dimensional Radiation Transfer Equation and Its Implication on Numerical Convergence ⋮ $hp$-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems ⋮ Third-order explicit Runge-Kutta discontinuous Galerkin method for linear conservation law with inflow boundary condition ⋮ A non-negative moment-preserving spatial discretization scheme for the linearized Boltzmann transport equation in 1-D and 2-D Cartesian geometries ⋮ L2-error estimates for the discrete ordinates method for three-dimensional neutron transport ⋮ The discontinuous finite element method with the Taylor-Galerkin approach for nonlinear hyperbolic conservation laws ⋮ An efficient and accurate short-characteristics solver for radiative transfer problems ⋮ CONVERGENCE OF A DISCONTINUOUS GALERKIN SCHEME FOR THE NEUTRON TRANSPORT ⋮ An adaptive nested source term iteration for radiative transfer equations ⋮ Error analysis for the finite element approximation of a radiative transfer model ⋮ An Optimal-Order Error Estimate for the Discontinuous Galerkin Method ⋮ Mesh independence of the generalized Davidson algorithm ⋮ Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. One space dimension ⋮ Goal-Based Error Estimation for the Multi-Dimensional Diamond Difference and Box Discrete Ordinate (SN) Methods
