A symmetric interior-penalty discontinuous Galerkin isogeometric analysis spatial discretization of the self-adjoint angular flux form of the neutron transport equation
DOI10.1016/j.cma.2024.117414MaRDI QIDQ6643575
Stephen G. Wilson, Matthew D. Eaton, J. Kópházi
Publication date: 26 November 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
discontinuous Galerkinisogeometric analysisdiscrete ordinates (\(S_{\mathrm{N}}\))interior-penalty schememulti-group neutron transport equationself-adjoint angular flux (SAAF)
Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Isogeometric methods applied to problems in solid mechanics (74S22)
Cites Work
- Unnamed Item
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- Multigrid methods for isogeometric discretization
- Spectral element solutions for the \(P_{N}\) neutron transport equations
- Mathematical aspects of discontinuous Galerkin methods.
- A geometry preserving, conservative, mesh-to-mesh isogeometric interpolation algorithm for spatial adaptivity of the multigroup, second-order even-parity form of the neutron transport equation
- Studies of refinement and continuity in isogeometric structural analysis
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- Further studies on the thermal equilibrium of gas molecules.
- Energy dependent mesh adaptivity of discontinuous isogeometric discrete ordinate methods with dual weighted residual error estimators
- Optimal trace inequality constants for interior penalty discontinuous Galerkin discretisations of elliptic operators using arbitrary elements with non-constant Jacobians
- An explicit expression for the penalty parameter of the interior penalty method
- Theory and practice of finite elements.
- On the stability of the symmetric interior penalty method for the Spalart-Allmaras turbulence model
- Uniform subspace correction preconditioners for discontinuous Galerkin methods with \(hp\)-refinement
- An adaptive, hanging-node, discontinuous isogeometric analysis method for the first-order form of the neutron transport equation with discrete ordinate \((S_{\mathrm{N}})\) angular discretisation
- Optimising the performance of the spectral/\(hp\) element method with collective linear algebra operations
- Discontinuous isogeometric analysis methods for the first-order form of the neutron transport equation with discrete ordinate (\(S_N\)) angular discretisation
- Stabilization mechanisms in discontinuous Galerkin finite element methods
- On calculating with B-splines
- On multiple scattering of neutrons. I. Theory of the albedo of a plane boundary.
- Some kinetic problems regarding the motion of neutrons through paraffine.
- Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Cache-efficient renumbering for vectorization
- Minimization of indirect addressing for edge-based field solvers
- NURBS Enhanced Virtual Element Methods for the Spatial Discretization of the Multigroup Neutron Diffusion Equation on Curvilinear Polygonal Meshes
- The Numerical Evaluation of B-Splines
- Energy-Dependent, Self-Adaptive Mesh h ( p )-Refinement of a Constraint-Based Continuous Bubnov-Galerkin Isogeometric Analysis Spatial Discretization of the Multi-Group Neutron Diffusion Equation with Dual-Weighted Residual Error Measures
- Energy-Dependent, Self-Adaptive Meshh(p)-Refinement of an Interior-Penalty Scheme for a Discontinuous Galerkin Isogeometric Analysis Spatial Discretization of the Multi-Group Neutron Diffusion Equation with Dual-Weighted Residual Error Measures
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