Richard Rankin 应用数学与统计学助理教授
数学科学系 / 理工学院



联系方式 办公室
理工楼328

校园
University of Nottingham Ningbo China

地址
199 Taikang East Road, Ningbo, 315100, China

电话
+86 (0) (Ext: 8718)

邮箱
Richard.Rankin@nottingham.edu.cn



学历
PhD in Mathematics from the University of Strathclyde (Glasgow, UK)
BSc (Hons) in Mathematics from the University of Strathclyde (Glasgow, UK)

个人简介
I joined UNNC in September 2017 after working at Universidad Técnica Federico Santa María (Valparaíso, Chile), Rice University (Houston, USA) and the University of Strathclyde (Glasgow, UK).
Expertise SummaryFinite element methods for obtaining approximate solutions to partial differential equations


教学
Mathematics for Engineers (MM1MTE)
Computerised Mathematical Methods in Engineering (HG3MCE)


发表文章
A. Allendes, E. Otárola, R. Rankin and A. J. Salgado, An a posteriori error analysis for an optimal control problem with point sources, ESAIM: Mathematical Modelling and Numerical Analysis, 52(5):1617-1650, 2018.
G. R. Barrenechea, V. John, P. Knobloch and R. Rankin, A unified analysis of algebraic flux correction schemes for convection-diffusion equations, SeMA Journal Boletin de la Sociedad Española de Matemática Aplicada, 75(4):655-685, 2018.
A. Allendes, E. Otárola and R. Rankin, A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations, SIAM Journal on Scienti?c Computing, 40(4), A2200-A2233, 2018.
A. Allendes, E. Otárola and R. Rankin, A posteriori error estimators for stabilized ?nite element approximations of an optimal control problem, Computer Methods in Applied Mechanics and Engineering, 340, 147-177, 2018.
A. Allendes, G. R. Barrenechea and R. Rankin, Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation, SIAM Journal on Scientific Computing, 39(5), A1903-A1927, 2017.
A. Allendes, E. Otárola, R. Rankin and A. J. Salgado, Adaptive finite element methods for an optimal control problem involving Dirac measures, Numerische Mathematik, 137(1), 159-197, 2017.
M. Ainsworth and R. Rankin, Computable error bounds for finite element approximation on nonpolygonal domains, IMA Journal of Numerical Analysis, 37(2), 604-645, 2017.
A. Allendes, F. Durán and R. Rankin, Error estimation for low-order adaptive finite element approximation for fluid flow problems, IMA Journal of Numerical Analysis, 36(4), 1715-1747, 2016.
R. Rankin and B. Rivière, A high order method for solving the black-oil problem in porous media, Advances in Water Resources, 78:126-144, 2015.
M. Ainsworth, A. Allendes, G. R. Barrenechea and R. Rankin, Fully computable a posteriori error bounds for stabilized FEM approximations of convection-reaction-diffusion problems in three dimensions, International Journal for Numerical Methods in Fluids, 73(9), 765-790, 2013.
M. Ainsworth, A. Allendes, G. R. Barrenechea and R. Rankin, On the adaptive selection of the parameter in stabilized finite element approximations, SIAM Journal on Numerical Analysis, 51(3), 1585-1609, 2013.
M. Ainsworth and R. Rankin, Guaranteed computable bounds on quantities of interest in finite element computations, International Journal for Numerical Methods in Engineering, 89(13), 1605-1634, 2012.
M. Ainsworth, A. Allendes, G. R. Barrenechea and R. Rankin, Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem, IMA Journal of Numerical Analysis, 32(2), 417-447, 2012.
M. Ainsworth and R. Rankin, A note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes, Numerical Methods for Partial Differential Equations, 28(3), 1099-1104, 2012.
M. Ainsworth and R. Rankin, Realistic computable error bounds for three dimensional finite element analyses in linear elasticity, Computer Methods in Applied Mechanics and Engineering, 200(21-22), 1909-1926, 2011.
M. Ainsworth and R. Rankin, Constant free error bounds for non-uniform order discontinuous Galerkin finite element approximation on locally refined meshes with hanging nodes, IMA Journal of Numerical Analysis, 31(1), 254-280, 2011.
M. Ainsworth and R. Rankin, Fully computable error bounds for conforming and nonconforming finite element approximations in planar elasticity, International Journal for Numerical Methods in Engineering, 82(9), 1114-1157, 2010.
M. Ainsworth and R. Rankin, Fully computable error bounds for discontinuous Galerkin finite element approximations on meshes with an arbitrary number of levels of hanging nodes, SIAM Journal on Numerical Analysis, 47(6), 4112-4141, 2010.
M. Ainsworth and R. Rankin, Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements, SIAM Journal on Numerical Analysis, 46(6), 3207-3232, 2008.
M. Ainsworth and R. Rankin, Robust a posteriori error estimation for the nonconforming Fortin-Soulie finite element approximation, Mathematics of Computation, 77(264), 1917-1939, 2008.