A spatially adaptive grid-refinement approach for the finite element solution of the even-parity Boltzmann transport equation

[1]  G. Arfken Mathematical Methods for Physicists , 1967 .

[2]  James A. Davis,et al.  TRANSPORT ERROR BOUNDS VIA P/sub N/ APPROXIMATIONS. , 1968 .

[3]  J. T. Oden,et al.  On the calculation of consistent stress distributions in finite element approximations , 1971 .

[4]  William H. Reed,et al.  New Difference Schemes for the Neutron Transport Equation , 1971 .

[5]  John S. Campbell,et al.  Local and global smoothing of discontinuous finite element functions using a least squares method , 1974 .

[6]  C. M. Kang,et al.  Finite element methods in reactor physics analysis , 1975 .

[7]  M. Williams,et al.  A finite element method for neutron transport—II. Some practical considerations☆ , 1979 .

[8]  James J. Duderstadt,et al.  Phase-space finite element methods applied to the first-order form of the transport equation , 1981 .

[9]  C. Quah A finite element formulation of the Boltzmann transport equation , 1983 .

[10]  M.M.R. Williams,et al.  Recent progress in the application of the finite element method to the neutron transport equation , 1984 .

[11]  R. Bank,et al.  Some a posteriori error estimators for elliptic partial differential equations , 1985 .

[12]  Ivo Babuška,et al.  Accuracy estimates and adaptive refinements in finite element computations , 1986 .

[13]  J. K. Fletcher Recent developments of the transport theory code MARC/PN , 1986 .

[14]  R. T. Ackroyd,et al.  Discontinuous finite elements for neutron transport analysis , 1986 .

[15]  O. C. Zienkiewicz,et al.  A simple error estimator and adaptive procedure for practical engineerng analysis , 1987 .

[16]  J. K. Fletcher,et al.  Some Recent Developments in Finite Element Methods for Neutron Transport , 1987 .

[17]  Randolph E. Bank,et al.  A posteriori error estimates for the Stokes equations: a comparison , 1990 .

[18]  R. T. Ackroyd Finite element methods for neutron transport based on maximum and minimum principles for discontinuous trial functions , 1992 .

[19]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[20]  E. Lewis,et al.  Computational Methods of Neutron Transport , 1993 .

[21]  Ivo Babuska,et al.  The p and h-p Versions of the Finite Element Method, Basic Principles and Properties , 1994, SIAM Rev..

[22]  O. C. Zienkiewicz,et al.  A posteriori error estimation and three-dimensional automatic mesh generation , 1997 .

[23]  Graham F. Carey,et al.  Computational grids : generation, adaptation, and solution strategies , 1997 .

[24]  Scott McRae,et al.  Adaptive mesh algorithms - A review of progress and future research needs , 2001 .