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Pryer, T. and Katzourakis, N. (2019) On the numerical approximation of p-biharmonic and ∞-biharmonic functions. Numerical Methods for Partial Differential Equations, 35 (1). pp. 155-180. ISSN 1098-2426 doi: https://doi.org/10.1002/num.22295

Sirimark, P., Lukyanov, A. and Pryer, T. (2019) Surface permeability of particulate porous media. Transport in porous media, 130 (2). pp. 637-654. ISSN 0169-3913 doi: https://doi.org/10.1007/s11242-019-01332-9

Jackaman, J., Papamikos, G. and Pryer, T. (2019) The design of conservative finite element discretisations for the vectorial modified KdV equation. Applied Numerical Mathematics, 137. pp. 230-251. ISSN 0168-9274 doi: https://doi.org/10.1016/j.apnum.2018.10.006

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Mansfield, E. L. and Pryer, T. (2017) Noether-type discrete conserved quantities arising from a finite element approximation of a variational problem. Foundations of Computational Mathematics, 17 (3). pp. 729-762. ISSN 1615-3375 doi: https://doi.org/10.1007/s10208-015-9298-0

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Giesselmann, J. and Pryer, T. (2016) Reduced relative entropy techniques for a posteriori analysis of multiphase problems in elastodynamics. IMA Journal of Numerical Analysis, 36 (4). pp. 1685-1714. ISSN 1464-3642 doi: https://doi.org/10.1093/imanum/drv052

Giesselmann, J. and Pryer, T. (2016) Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics. BIT Numerical Mathematics, 56 (1). pp. 99-127. ISSN 1572-9125 doi: https://doi.org/10.1007/s10543-015-0560-2

Lakkis, O., Makridakis, C. and Pryer, T. (2015) A comparison of duality and energy a posteriori estimates for $\mathrm {L}_{\infty }(0,T;\mathrm {L}_2(\varOmega ))$ in parabolic problems. Mathematics of Computation, 84 (294). pp. 1537-1569. ISSN 0025-5718 doi: https://doi.org/10.1090/S0025-5718-2014-02912-8

Giesselmann, J. and Pryer, T. (2015) Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model. ESAIM: Mathematical Modelling and Numerical Analysis M2AN, 49 (1). pp. 275-301. ISSN 1290-3841 doi: https://doi.org/10.1051/m2an/2014033

Giesselmann, J., Makridakis, C. and Pryer, T. (2015) A Posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws. SIAM Journal on Numerical Analysis (SINUM), 53 (3). pp. 1280-1303. ISSN 0036-1429 doi: https://doi.org/10.1137/140970999

Pryer, T. (2014) Discontinuous Galerkin methods for the p-biharmonic equation from a discrete variational perspective. Electronic Transactions on Numerical Analysis, 41. pp. 328-349. ISSN 1068-9613

Giesselmann, J., Makridakis, C. and Pryer, T. (2014) Energy consistent DG methods for the Navier-Stokes-Korteweg system. Mathematics of Computation, 83. pp. 2071-2099. ISSN 1088-6842

Makridakis, C., Giesselmann, J. and Pryer, T. (2014) Energy consistent discontinuous Galerkin methods for the Navier–Stokes–Korteweg system. Mathematics of Computation, 83 (289). pp. 2071-2099. ISSN 1088-6842 doi: https://doi.org/10.1090/S0025-5718-2014-02792-0

Lakkis, O. and Pryer, T. (2013) A finite element method for nonlinear elliptic problems. SIAM Journal on Scientific Computing, 35 (4). A2025-A2045. ISSN 1095-7197 doi: https://doi.org/10.1137/120887655

Lakkis, O. and Pryer, T. (2012) Gradient recovery in adaptive finite-element methods for parabolic problems. IMA Journal of Numerical Analysis, 32 (1). pp. 246-278. ISSN 1464-3642 doi: https://doi.org/10.1093/imanum/drq019

Lakkis, O. and Pryer, T. (2011) A finite element method for second order nonvariational elliptic problems. SIAM Journal on Scientific Computing, 33 (2). pp. 786-801. ISSN 1095-7197 doi: https://doi.org/10.1137/100787672

Book or Report Section

Giesselmann, J. and Pryer, T. (2017) Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model. In: Cancès, C. and Omnes, P. (eds.) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects: FVCA 8, Lille June 2017: conference proceedings. Springer Proceedings in Mathematics & Statistics (199). Springer, pp. 457-466. doi: https://doi.org/10.1007/978-3-319-57397-7_39

Giesselmann, J. and Pryer, T. (2014) On aposteriori error analysis of dG schemes approximating hyperbolic conservation laws. In: Fuhrmann, J., Ohlberger, M. and Rohde, C. (eds.) Finite volumes for complex applications VII-methods and theoretical aspects: FVCA 7, Berlin, June 2014. Springer proceedings in mathematics and statistics, 77. Springer International, Cham, Switzerland, pp. 313-321. ISBN 9783319056838 doi: https://doi.org/10.1007/978-3-319-05684-5_30