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Professor PAUL HOUSTON's Outputs (6)

hp-Adaptive discontinuous Galerkin methods for neutron transport criticality problems (2017)
Journal Article
Hall, E., Houston, P., & Murphy, S. (in press). hp-Adaptive discontinuous Galerkin methods for neutron transport criticality problems. SIAM Journal on Scientific Computing, 39(5), Article B916-B942

In this article we consider the application of high-order/hp-version adaptive discontinuous Galerkin finite element methods (DGFEMs) for the discretization of the keff-eigenvalue problem associated with the neutron transport equation. To this end, we... Read More about hp-Adaptive discontinuous Galerkin methods for neutron transport criticality problems.

An adaptive variable order quadrature strategy (2017)
Journal Article
Houston, P., & Wihler, T. P. (in press). An adaptive variable order quadrature strategy. Lecture Notes in Computational Science and Engineering, 119, https://doi.org/10.1007/978-3-319-65870-4_38

In this article we propose a new adaptive numerical quadrature procedure which includes both local subdivision of the integration domain, as well as local variation of the number of quadrature points employed on each subinterval. In this way we aim t... Read More about An adaptive variable order quadrature strategy.

Numerical modelling of MPA-CVD reactors with the discontinuous Galerkin finite element method (2017)
Journal Article
Houston, P., & Sime, N. (2017). Numerical modelling of MPA-CVD reactors with the discontinuous Galerkin finite element method. Journal of Physics D: Applied Physics, 50(29), Article 295202. https://doi.org/10.1088/1361-6463/aa77dc

In this article we develop a fully self consistent mathematical model describing the formation of a hydrogen plasma in a microwave power assisted chemical vapour deposition (MPA-CVD) reactor employed for the manufacture of synthetic diamond. The unde... Read More about Numerical modelling of MPA-CVD reactors with the discontinuous Galerkin finite element method.

Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes (2017)
Journal Article
Antonietti, P. F., Houston, P., Hu, X., Sarti, M., & Verani, M. (in press). Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Numerische Mathematik, 54(4), https://doi.org/10.1007/s10092-017-0223-6

In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for the numerical solution of the linear system of equations arising from hp-version symmetric interior penalty discontinuous Galerkin discretizations of s... Read More about Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes.

Adjoint error estimation and adaptivity for hyperbolic problems (2017)
Book Chapter
Houston, P. (2017). Adjoint error estimation and adaptivity for hyperbolic problems. In R. Abgrall, & C.-W. Shu (Eds.), Handbook of Numerical Methods for Hyperbolic Problems. Applied and Modern Issues. Elsevier / North Holland

In this article we present an overview of a posteriori error estimation and adaptive mesh design for hyperbolic/nearly-hyperbolic problems. In particular, we discuss the question of error estimation for general target functionals of the solution; typ... Read More about Adjoint error estimation and adaptivity for hyperbolic problems.