Houston, Paul

Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G. (2020). Eliminating Gibbs phenomena: A non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation. Computers and mathematics with applications, 80(5), pp. 851-873. Elsevier 10.1016/j.camwa.2020.03.025

Houston, Paul; Wihler, Thomas P (2020). An hp-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear elliptic boundary value problems. In: Sherwin, Spencer J; Moxey, David; Peiró, Joaquim; Vincent, Peter E; Schwab, Christoph (eds.) Spectral and high order methods for partial differential equations. ICOSAHOM 2018. Lecture Notes in Computational Science and Engineering: Vol. 134 (pp. 407-417). Springer 10.1007/978-3-030-39647-3_32

Houston, Paul; Wihler, Thomas (2018). An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Mathematics of computation, 87(314), pp. 2641-2674. American Mathematical Society 10.1090/mcom/3308

Houston, Paul; Wihler, Thomas P. (2017). An adaptive variable order quadrature strategy. In: Bittencourt, Marco L.; Dumont, Ney A.; Hesthaven, Jan S. (eds.) Spectral and high order methods for partial differential equations. Lecture Notes in Computational Science and Engineering: Vol. 119 (pp. 533-545). Cham: Springer 10.1007/978-3-319-65870-4_38

Houston, Paul; Wihler, Thomas (2016). Adaptive energy minimisation for hp-finite element methods. Computers and mathematics with applications, 71(4), pp. 977-990. Elsevier 10.1016/j.camwa.2016.01.002

Congreve, Scott; Houston, Paul; Wihler, Thomas P. (2013). Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs. Journal of scientific computing, 55(2), pp. 471-497. New York, N.Y.: Plenum Press 10.1007/s10915-012-9644-1

Houston, Paul; Wihler, Thomas P. (2012). Second-Order Elliptic PDE with Discontinuous Boundary Data. IMA journal of numerical analysis, 32(1), pp. 48-74. Oxford: Oxford University Press 10.1093/imanum/drq032

Houston, Paul; Wihler, Thomas Pascal (2012). Discontinuous Galerkin methods for problems with Dirac delta source. Esaim. Mathematical modelling and numerical analysis / Modélisation mathématique et analyse numérique, 46(6), pp. 1467-1483. Paris: EDP Sciences 10.1051/m2an/2012010

Houston, Paul; Wihler, Thomas P. (2009). Second-order elliptic PDE with discontinuous boundary data University of Nottingham