Discontinuous Galerkin Methods for the Linear Boltzmann Transport Equation

QR Code

Discontinuous Galerkin Methods for the Linear Boltzmann Transport Equation

Radiation transport is an area of applied physics that is concerned with the propagation and distribution of radiative particle species such as photons and electrons within a material medium. Deterministic models of radiation transport are used in a wide range of problems including radiotherapy trea...

Full description

Bibliographic Details
Main Author:	Radley, Thomas
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2023
Subjects:	Discontinuous Galerkin finite element method linear Boltzmann transport equation polytopic meshes linear solvers
Online Access:	https://eprints.nottingham.ac.uk/73503/

Similar Items

Discontinuous Galerkin FEMs for Radiation Transport Problems
by: Widdowson, Richard
Published: (2023)

Adaptive discontinuous Galerkin methods on polytopic meshes
by: Collis, Joe, et al.
Published: (2016)

Discontinuous Galerkin Methods for the Biharmonic Problem
by: Georgoulis, Emmanuil H., et al.

Automatic symbolic computation for discontinuous Galerkin finite element methods
by: Houston, Paul, et al.
Published: (2018)

Modeling 2D swash zone hydro/morphodynamics using discontinuous Galerkin finite element method
by: Aboulatta, Waddaa
Published: (2020)

Numerical modelling of MPA-CVD reactors with the discontinuous Galerkin finite element method
by: Houston, Paul, et al.
Published: (2017)

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
by: Cangiani, Andrea, et al.
Published: (2014)

Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
by: Georgoulis, Emmanuil H., et al.
Published: (2006)

Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains
by: Antonietti, Paola F., et al.
Published: (2014)

hp-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
by: Giani, Stefano, et al.
Published: (2014)

Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
by: Hartmann, Ralf, et al.
Published: (2005)

Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows
by: Giani, Stefano, et al.
Published: (2014)

An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems
by: Houston, Paul, et al.
Published: (2018)

hp-Adaptive discontinuous Galerkin methods for neutron transport criticality problems
by: Hall, Edward, et al.
Published: (2017)

hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
by: Cangiani, Andrea, et al.
Published: (2016)

Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods
by: Antonietti, Paola F., et al.
Published: (2007)

A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods
by: Antonietti, Paola F., et al.
Published: (2015)

Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration
by: Congreve, Scott, et al.
Published: (2013)

A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations
by: Houston, Paul, et al.
Published: (2005)

hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows
by: Congreve, Scott, et al.
Published: (2013)

Two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows
by: Congreve, Scott, et al.
Published: (2014)

A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems
by: Houston, Paul, et al.
Published: (2006)

An Optimal Order Interior Penalty Discontinuous Galerkin Discretization of the Compressible Navier-Stokes Equations
by: Hartmann, Ralf, et al.

On the suboptimality of the p-version interior penalty discontinuous Galerkin method
by: Georgoulis, Emmanuil H., et al.
Published: (2009)

Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
by: Lee, Lai Soon
Published: (2000)

Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)

Diagonally Implicit Runge-Kutta Methods For Solving Linear Ordinary Differential Equations
by: Che Jawias, Nur Izzati
Published: (2009)

Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows
by: Cliffe, Andrew, et al.
Published: (2008)

Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
by: Antonietti, P. F., et al.
Published: (2017)

Structural optimisation of random discontinuous fibre composites: Part 1 – Methodology
by: Qian, C.C., et al.
Published: (2015)

Structural optimisation of random discontinuous fibre composites: Part 2 - case study
by: Qian, C.C., et al.
Published: (2015)

Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations
by: Yap, Lee Ken
Published: (2008)

Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear PDEs
by: Congreve, Scott
Published: (2014)

Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)

Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method
by: Aruchunan, Elayaraja, et al.
Published: (2011)

3D geometric modelling of discontinuous fibre composites using a force-directed algorithm
by: Harper, L.T., et al.
Published: (2016)

Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2012)

Solving linear ordinary differential equations using Singly diagonally implicit Runge-Kutta fifth order five-stage method
by: Ismail, Fudziah, et al.
Published: (2009)

Optimal strategies of players in linear differential games.
by: Salimi, Mehdi
Published: (2011)

A modified phase change pseudopotential lattice Boltzmann model
by: Gong, W., et al.
Published: (2018)