2022

Calver, E., Pryer, T. and Lukyanov, A. V. (2022) Hydraulic jumps & the role of surface tension. Physics Letters A, 451. 128418. ISSN 0375-9601 doi: https://doi.org/10.1016/j.physleta.2022.128418

2021

Ashby, B., Bortolozo, C., Lukyanov, A. and Pryer, T. (2021) Adaptive modelling of variably saturated seepage problems. The Quarterly Journal of Mechanics and Applied Mathematics, 74 (1). pp. 55-81. ISSN 0033-5614 doi: https://doi.org/10.1093/qjmam/hbab001

2020

Katzourakis, N. and Pryer, T. (2020) Second order L∞ variational problems and the ∞-polylapacian. Advances in Calculus of Variations, 13 (2). pp. 115-140. ISSN 1864-8266 doi: https://doi.org/10.1515/acv-2016-0052

2019

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

Papamikos, G. and Pryer, T. (2019) A Lie symmetry analysis and explicit solutions of the two-dimensional ∞-Polylaplacian. Studies in Applied Mathematics, 142 (1). pp. 48-64. ISSN 0022-2526 doi: https://doi.org/10.1111/sapm.12232

2018

Sirimark, P., Lukyanov, A. and Pryer, T. (2018) Surface permeability of porous media particles and capillary transport. The European Physical Journal E - Soft Matter & Biological Physics, 41 (9). 106. ISSN 1292-895X doi: https://doi.org/10.1140/epje/i2018-11716-6

Pryer, T. (2018) On the finite element approximation of ∞-harmonic functions. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 148 (4). pp. 819-834. ISSN 0308-2105 doi: https://doi.org/10.1017/S0308210517000294

Kesici, E., Pelloni, B., Pryer, T. and Smith, D. (2018) A numerical implementation of the unified Fokas transform for evolution problems on a finite interval. European Journal of Applied Mathematics, 29 (3). pp. 543-567. ISSN 1469-4425 doi: https://doi.org/10.1017/S0956792517000316

Georgoulis, E. H. and Pryer, T. (2018) Recovered finite element methods. Computer Methods in Applied Mechanics and Engineering, 332. pp. 303-324. ISSN 0045-7825 doi: https://doi.org/10.1016/j.cma.2017.12.026

Katzourakis, N. and Pryer, T. (2018) A review from the PDE viewpoint of Hamilton-Jacobi-Bellman equations arising in optimal control with vectorial cost. Journal of Nonlinear Functional Analysis, 2018. 6. ISSN 2052-532X doi: https://doi.org/10.23952/jnfa.2018.6

2017

Giesselmann, J. and Pryer, T. (2017) A posteriori analysis for dynamic model adaptation in convection dominated problems. Mathematical models and methods in applied Sciences (M3AS), 27 (13). pp. 2381-2423. ISSN 0218-2025 doi: https://doi.org/10.1142/S0218202517500476

Georgoulis, E. H. and Pryer, T. (2017) Analysis of discontinuous Galerkin methods using mesh-dependent norms and applications to problems with rough data. Calcolo, 54 (4). pp. 1533-1551. ISSN 1126-5434 doi: https://doi.org/10.1007/s10092-017-0240-5

Cangiani, A., Georgoulis, E. H., Pryer, T. and Sutton, O. J. (2017) A posteriori error estimates for the virtual element method. Numerische Mathematik, 137 (4). pp. 857-893. ISSN 0029-599X doi: https://doi.org/10.1007/s00211-017-0891-9

Lukyanov, A. V. and Pryer, T. (2017) Hydrodynamics of moving contact lines: macroscopic versus microscopic. Langmuir, 33 (34). pp. 8582-8590. ISSN 0743-7463 doi: https://doi.org/10.1021/acs.langmuir.7b02409

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

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

2016

Katzourakis, N. and Pryer, T. (2016) On the numerical approximation of ∞-harmonic mappings. Nonlinear differential equations and applications, 23 (6). 61. ISSN 1420-9004 doi: https://doi.org/10.1007/s00030-016-0415-9

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

2015

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

2014

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

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

2013

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

2012

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

2011

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