Number of items: 22.
2024
Caetano, A. M., Chandler-Wilde, S. N.
ORCID: https://orcid.org/0000-0003-0578-1283, Claeys, X., Gibbs, A., Hewett, D. P. and Moiola, A.
(2024)
Integral equation methods for acoustic scattering by fractals.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
ISSN 1364-5021
doi: https://doi.org/10.1098/rspa.2023.0650
(In Press)
Caetano, A. M., Chandler-Wilde, S. N.
ORCID: https://orcid.org/0000-0003-0578-1283, Gibbs, A., Hewett, D. P. and Moiola, A.
(2024)
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens.
Numerische Mathematik.
ISSN 0945-3245
doi: https://doi.org/10.1007/s00211-024-01399-7
2020
Gibbs, A., Chandler-Wilde, S. N.
ORCID: https://orcid.org/0000-0003-0578-1283, Langdon, S. and Moiola, A.
(2020)
A high frequency boundary element method for scattering by a class of multiple obstacles.
IMA Journal of Numerical Analysis, 41 (2).
pp. 1197-1239.
ISSN 1464-3642
doi: https://doi.org/10.1093/imanum/draa025
2019
McCusker, K.
ORCID: https://orcid.org/0000-0002-1886-5323, Westbrook, C. D.
ORCID: https://orcid.org/0000-0002-2889-8815 and Moiola, A.
(2019)
Analysis of the internal electric fields of pristine ice crystals and aggregate snowflakes, and their effect on scattering.
Journal of Quantitative Spectroscopy and Radiative Transfer, 230.
pp. 155-171.
ISSN 0022-4073
doi: https://doi.org/10.1016/j.jqsrt.2019.04.019
2018
Moiola, A. and Perugia, I.
(2018)
A space–time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation.
Numerische Mathematik, 138 (2).
pp. 389-435.
ISSN 0029-599X
doi: https://doi.org/10.1007/s00211-017-0910-x
2017
Hewett, D. and Moiola, A.
(2017)
On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space.
Analysis and Applications, 15 (5).
pp. 731-770.
ISSN 1793-6861
doi: https://doi.org/10.1142/S021953051650024X
Hewett, D. P. and Moiola, A.
(2017)
A note on properties of the restriction operator on Sobolev spaces.
Journal of Applied Analysis, 23 (1).
pp. 1-8.
ISSN 1425-6908
doi: https://doi.org/10.1515/jaa-2017-0001
Chandler-Wilde, S. N.
ORCID: https://orcid.org/0000-0003-0578-1283, Hewett, D. P. and Moiola, A.
(2017)
Sobolev spaces on non-Lipschitz subsets of Rn with application to boundary integral equations on fractal screens.
Integral Equations and Operator Theory, 87 (2).
pp. 179-224.
ISSN 1420-8989
doi: https://doi.org/10.1007/s00020-017-2342-5
2016
Kretzschmar, F., Moiola, A., Perugia, I. and Schnepp, S. M.
(2016)
A priori error analysis of space–time Trefftz discontinuous Galerkin methods for wave problems.
IMA Journal of Numerical Analysis, 36 (4).
pp. 1599-1635.
ISSN 1464-3642
doi: https://doi.org/10.1093/imanum/drv064
Hiptmair, R., Moiola, A. and Perugia, I.
(2016)
Plane wave discontinuous Galerkin methods: exponential convergence of the hp-version.
Foundations of Computational Mathematics, 16 (3).
pp. 637-675.
ISSN 1615-3375
doi: https://doi.org/10.1007/s10208-015-9260-1
Hiptmair, R., Moiola, A. and Perugia, I.
(2016)
A survey of Trefftz methods for the Helmholtz equation.
In:
Building bridges: connections and challenges in modern approaches to numerical PDEs.
Lecture Notes in Computational Science and Engineering.
Springer.
2015
Chandler-Wilde, S. N.
ORCID: https://orcid.org/0000-0003-0578-1283, Hewett, D. P. and Moiola, A.
(2015)
Interpolation of Hilbert and Sobolev spaces: quantitative estimates and counterexamples.
Mathematika, 61 (2).
pp. 414-443.
ISSN 0025-5793
doi: https://doi.org/10.1112/S0025579314000278
2014
Moiola, A. and Spence, E. A.
(2014)
Is the Helmholtz equation really sign-indefinite?
SIAM Review, 56 (2).
pp. 274-312.
ISSN 1095-7200
doi: https://doi.org/10.1137/120901301
Hiptmair, R., Moiola, A., Perugia, I. and Schwab, C.
(2014)
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM.
ESAIM: Mathematical Modelling and Numerical Analysis M2AN, 48 (3).
pp. 727-752.
ISSN 1290-3841
doi: https://doi.org/10.1051/m2an/2013137
Howarth, C. J., Childs, P. N. and Moiola, A.
(2014)
Implementation of an interior point source in the ultra weak variational formulation through source extraction.
Journal of Computational and Applied Mathematics, 271.
295 - 306.
ISSN 0377-0427
doi: https://doi.org/10.1016/j.cam.2014.04.017
2013
Hiptmair, R., Moiola, A. and Perugia, I.
(2013)
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations.
Mathematics of Computation, 82 (281).
pp. 247-268.
ISSN 1088-6842
doi: https://doi.org/10.1090/S0025-5718-2012-02627-5
Moiola, A.
(2013)
Plane wave approximation in linear elasticity.
Applicable Analysis, 92 (6).
pp. 1299-1307.
ISSN 0003-6811
doi: https://doi.org/10.1080/00036811.2012.671300
Hiptmair, R., Moiola, A. and Perugia, I.
(2013)
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes.
Applied Numerical Mathematics, 79.
pp. 79-91.
ISSN 0168-9274
doi: https://doi.org/10.1016/j.apnum.2012.12.004
2011
Hiptmair, R., Moiola, A. and Perugia, I.
(2011)
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions.
Mathematical models and methods in applied Sciences (M3AS), 21 (11).
pp. 2263-2287.
ISSN 0218-2025
doi: https://doi.org/10.1142/S021820251100574X
Moiola, A., Hiptmair, R. and Perugia, I.
(2011)
Plane wave approximation of homogeneous Helmholtz solutions.
Zeitschrift für angewandte Mathematik und Physik, 62 (5).
pp. 809-837.
ISSN 0044-2275
doi: https://doi.org/10.1007/s00033-011-0147-y
Hiptmair, R., Moiola, A. and Perugia, I.
(2011)
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the $p$-version.
SIAM Journal on Numerical Analysis (SINUM), 49 (1).
pp. 264-284.
ISSN 0036-1429
doi: https://doi.org/10.1137/090761057
Moiola, A., Hiptmair, R. and Perugia, I.
(2011)
Vekua theory for the Helmholtz operator.
Zeitschrift für Angewandte Mathematik und Physik, 62 (5).
pp. 779-807.
ISSN 0044-2275
doi: https://doi.org/10.1007/s00033-011-0142-3
This list was generated on Sat Aug 31 23:42:24 2024 UTC.