Publications

Journal Articles

  1. Ledger, P., Gil, A. A Combined Reduced Order-Full Order Methodology for the Solution of 3D Magneto-Mechanical Problems with Application to MRI Scanners International Journal for Numerical Methods in Engineering
  2. Ledger, P., Lionheart, W. The spectral properties of the magnetic polarizability tensor for metallic object characterisation Mathematical Methods in the Applied Sciences 43 1 78 113
  3. Barroso, G., Gil, A., Ledger, P., Mallett, M., Huerta, A. A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners Computer Methods in Applied Mechanics and Engineering 358 112640
  4. Seoane, M., Ledger, P., Gil, A., Mallett, M., Ledger, P., Gil, A. An accurate and efficient three‐dimensional high order finite element methodology for the simulation of magneto‐mechanical coupling in MRI scanners International Journal for Numerical Methods in Engineering
  5. Walker, D., Kramer, S., Biebl, F., Ledger, P., Brown, M. Accelerating magnetic induction tomography‐based imaging through heterogeneous parallel computing Concurrency and Computation: Practice and Experience e5265
  6. Ledger, P., Lionheart, W., Amad, A., Ledger, P. Characterisation of multiple conducting permeable objects in metal detection by polarizability tensors Mathematical Methods in the Applied Sciences
  7. Ledger, P., Lionheart, W. An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization IEEE Transactions on Geoscience and Remote Sensing 56 6 3520 3533
  8. Ledger, P., Lionheart, W. Generalised magnetic polarizability tensors Mathematical Methods in the Applied Sciences 41 8 3175 3196
  9. Bagwell, S., Ledger, P., Gil, A., Mallett, M., Ledger, P., Gil, A. Transient solutions to nonlinear acousto-magneto-mechanical coupling for axisymmetric MRI scanner design International Journal for Numerical Methods in Engineering 115 2 209 237
  10. Bagwell, S., Ledger, P., Gil, A., Mallett, M., Kruip, M. A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners International Journal for Numerical Methods in Engineering 112 10 1323 1352
  11. Kynch, R., Ledger, P., Ledger, P. Resolving the sign conflict problem for hp–hexahedral Nédélec elements with application to eddy current problems Computers & Structures 181 41 54
  12. Ledger, P., Lionheart, W. Understanding the magnetic polarizability tensor IEEE Transactions on Magnetics 52 5 1 16
  13. Jin, D., Ledger, P., Gil, A., Ledger, P., Gil, A. hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects Computers & Structures 164 161 180
  14. Ledger, P., Lionheart, W. Characterizing the shape and material properties of hidden targets from magnetic induction data IMA Journal of Applied Mathematics 80 6 1776 1798
  15. Ledger, P., Lionheart, W., Ledger, P. The perturbation of electromagnetic fields at distances that are large compared with the object's size IMA Journal of Applied Mathematics 80 3 865 892
  16. Poya, R., Gil, A., Ledger, P. A computational framework for the analysis of linear piezoelectric beams using hp-FEM Computers & Structures 152 155 172
  17. Ledger, P., Gil, A., Poya, R., Kruip, M., Wilkinson, I., Bagwell, S., Ledger, P., Gil, A., Poya, R. Solution of an industrially relevant coupled magneto–mechanical problem set on an axisymmetric domain Applied Mathematical Modelling 40 3 1959 1971
  18. Jin, D., Ledger, P., Gil, A., Ledger, P., Gil, A. An hp-fem framework for the simulation of electrostrictive and magnetostrictive materials Computers & Structures 133 131 148
  19. Priewald, R., Magele, C., Ledger, P., Pearson, N., Mason, J. Fast Magnetic Flux Leakage Signal Inversion for the Reconstruction of Arbitrary Defect Profiles in Steel Using Finite Elements IEEE Transactions on Magnetics 49 1 506 516
  20. Gil, A., Ledger, P., Ledger, P., Gil, A. A coupled hp-finite element scheme for the solution of two-dimensional electrostrictive materials International Journal for Numerical Methods in Engineering 91 11 1158
  21. Ledger, P., Ledger, P. hp-Finite element discretisation of the electrical impedance tomography problem Computer Methods in Applied Mechanics and Engineering 225-228 154 176
  22. Zolgharni, M., Griffiths, H., Ledger, P., Ledger, P. Frequency-difference MIT imaging of cerebral haemorrhage with a hemispherical coil array: numerical modelling Physiological Measurement 31 8 S111 S125
  23. Ledger, P., Zaglmayr, S., Ledger, P. hp-Finite element simulation of three-dimensional eddy current problems on multiply connected domains Computer Methods in Applied Mechanics and Engineering 199 49-52 3386 3401
  24. Ledger, P., Ledger, P. An Investigation of a Preconditioner for High-Frequency Maxwell Problems Electromagnetics 30 1-2 94 126
  25. Ledger, P. Forward modelling of magnetic induction tomography: a sensitivity study for detecting haemorrhagic cerebral stroke Medical & Biological Engineering & Computing 47 12 1301 1313
  26. Ledger, P. Preconditioners for the indefinite linear system arising from thehpdiscretization of Maxwell's equations Communications in Numerical Methods in Engineering
  27. Ledger, P. Imaging cerebral haemorrhage with magnetic induction tomography: numerical modelling Physiological Measurement
  28. Morgan, K., Ledger, P. An Adjoint Enhanced Reduced-Order Model for Monostatic RCS Computation Electromagnetics
  29. Hiptmair, R., Ledger, P., Ledger, P. Computation of resonant modes for axisymmetric Maxwell cavities using hp-version edge finite elements 1652 1676
  30. Ledger, P., Peraire, J., Morgan, K., Hassan, O., Weatherill, N., Hassan, O., Ledger, P. Parameterised electromagnetic scattering solutions for a range of incident wave angles 3587 3605
  31. Ainsworth, M., Coyle, J., Ledger, P., Morgan, K., Ledger, P. Computing maxwell eigenvalues by using higher order edge elements in three dimensions IEEE Transactions on Magnetics 39 5 2149 2153
  32. Ledger, P., Peraire, J., Morgan, K., Hassan, O., Weatherill, N. Adaptive hp finite element computations of the scattering width output of Maxwell's equations International Journal for Numerical Methods in Fluids 43 953 978
  33. Ledger, P., Morgan, K., Hassan, O., Weatherill, N. Plane wave H(curl) conforming finite elements for Maxwell’s equations. Computational Mechanics 31 272 283
  34. Ledger, P., Morgan, K., Peraire, J., Hassan, O., Weatherill, N., Hassan, O., Ledger, P. The development of an hp-adaptive finite element procedure for electromagnetic scattering problems Finite Elements in Analysis and Design 39 8 751 764
  35. Ledger, P., Morgan, K., Hassan, O., Weatherill, N. Arbitrary order edge elements for electromagnetic scattering simulations using hybrid meshes and a PML International Journal for Numerical Methods in Engineering 55 3 339 358