Andrea Moiola UoR Home


Senior Research Fellow
Department of Mathematics and Statistics
University of Reading
Whiteknights, PO Box 220, Reading RG6 6AX, UK

Email: a.moiola@reading.ac.uk
Phone: +44 (0) 118 378 4272
Room: 203
Webpage:  http://www.personal.reading.ac.uk/~st904897/
http://www.reading.ac.uk/maths-and-stats/about/Staff/a-moiola.aspx
ORCID ID:orcid.org/0000-0002-6251-4440
Google Scholar profile
Curriculum Vitae (pdf)

Since March 2013 I am a "senior research fellow" at the Department of Mathematics and Statistics of the University of Reading.
From March 2012 to February 2013, I held a "Fellowship for prospective researchers" on "Computational wave propagation", funded by the Swiss National Science Foundation, based in Reading and supervised by Simon N. Chandler-Wilde.
From 2008 to 2011, I was a PhD student at the "Seminar for Applied Mathematics" (SAM) - ETH Zürich, under the supervision of Ralf Hiptmair and Ilaria Perugia (University of Vienna/Pavia).


NEWS: Workshop in Reading, 13 June 2016
ReaDG
- Recent advances in discontinuous Galerkin methods
Supported by the London Mathematical Society

For students: Vector Calculus course (MA2VC/MA3VC), autumn term 2015
http://www.personal.reading.ac.uk/~st904897/VC2015/VC2015.html

MyPicture

Research interests Published papers Preprints, thesis Collaborators Slides Links Conferences & events


Research interests:


Papers in refereed journals:

  1. F. Kretzschmar, A. Moiola, I. Perugia, S.M. Schnepp
    A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems,
    IMA J. Numer. Anal., 2015 (link to journal, preprint: arXiv:1501.05253), DOI: 10.1093/imanum/drv064.

  2. R. Hiptmair, A. Moiola, I. Perugia,
    Plane wave discontinuous Galerkin methods: exponential convergence of the hp-version,
    Found. Comput. Math., 16 2016, pp. 637-675 (link to journal, preprint: SAM Report 2013-31), DOI: 10.1007/s10208-015-9260-1.

  3. S.N. Chandler-Wilde, D.P. Hewett, A. Moiola,
    Interpolation of Hilbert and Sobolev spaces: Quantitative estimates and counterexamples,
    Mathematika, 61(2) 2015, pp. 414-443 (link to journal, preprint: arXiv:1404.3599), DOI:10.1112/S0025579314000278.

  4. A. Moiola, E.A. Spence,
    Is the Helmholtz equation really sign-indefinite?,
    Siam Review, 56(2) 2014, pp. 274-312 (paper, link to journal, link to preprint), DOI:10.1137/120901301.

  5. C.J. Howarth, P.N. Childs, A. Moiola,
    Implementation of an interior point source in the ultra weak variational formulation through source extraction,
    J. Comput. Appl. Math., 27 2014, pp. 295-306 (link to journal, link to preprint), DOI:10.1016/j.cam.2014.04.017.

  6. R. Hiptmair, A. Moiola, I. Perugia, Ch. Schwab,
    Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM,
    Math. Model. Numer. Anal. (M2AN), 48 (3) 2014, pp. 727-752 (link to journal, link to preprint), DOI:10.1051/m2an/2013137.

  7. R. Hiptmair, A. Moiola, I. Perugia,
    Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes,
    Appl. Numer. Math., 79 2014, pp. 79-91 (link to journal, link to preprint), DOI:10.1016/j.apnum.2012.12.004.

  8. A. Moiola,
    Plane wave approximation in linear elasticity,
    Appl. Anal., 92(6) 2013, pp. 1299-1307 (link to journal, link to preprint), DOI:10.1080/00036811.2012.671300.

  9. R. Hiptmair, A. Moiola, I. Perugia,
    Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations,
    Math. Comput., 82(281) 2013, pp. 247-268 (link to journal, link to preprint), DOI:10.1090/S0025-5718-2012-02627-5.

  10. R. Hiptmair, A. Moiola, I. Perugia,
    Stability results for the time-harmonic Maxwell equations with impedance boundary conditions,
    Math. Models Methods Appl. Sci., 21(11) 2011, pp. 2263-2287, (link to journal, link to preprint), DOI: 10.1142/S021820251100574X.

  11. A. Moiola, R. Hiptmair, I. Perugia,
    Plane wave approximation of homogeneous Helmholtz solutions,
    Z. Angew. Math. Phys., 62(5) 2011, pp. 809-837 (link to journal, link to preprint), DOI: 10.1007/s00033-011-0147-y.

  12. A. Moiola, R. Hiptmair, I. Perugia,
    Vekua theory for the Helmholtz operator,
    Z. Angew. Math. Phys., 62(5) 2011, pp. 779-807 (link to journal, link to preprint), DOI: 10.1007/s00033-011-0142-3.

  13. R. Hiptmair, A. Moiola, I. Perugia,
    Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the p-version,
    Siam J. Numer. Anal., 49(1) 2011, pp. 264-284 (paper, link to journal, link to preprint), DOI: 10.1137/090761057.

(The accepted/published versions of some of the papers are available on the CentAUR repository at the University of Reading.)


Reports, preprints, thesis:

  1. D.P. Hewett, A. Moiola
    On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space,
    arXiv:1507.02698, 2015.

  2. R. Hiptmair, A. Moiola, I. Perugia
    A survey of Trefftz methods for the Helmholtz equation,
    arXiv:1506.04521, 2015.

  3. A. Moiola,
    Trefftz discontinuous Galerkin methods on unstructured meshes for the wave equation,
    arXiv:1505.00120, proceedings of the XXIV CEDYA / XIV CMA conference, pp. 387-395, 2015.

  4. A. Moiola,
    Trefftz-discontinuous Galerkin methods for time-harmonic wave problems,
    PhD dissertation, Seminar for Applied Mathematics, ETH Zürich, 2011 (link to pdf, also available on the ETH e-collection), DOI: 10.3929/ethz-a-006698757.


People I work with:

S.N. Chandler-Wilde, University of Reading
P.N. Childs, Schlumberger Gould Research, Cambridge
A. Gibbs, University of Reading
D.P. Hewett, University of Oxford
R. Hiptmair, ETH Zürich
C.J. Howarth, University of Reading
F. Kretzschmar, TU Darmstadt
S. Langdon, University of Reading
I. Perugia, University of Vienna
S.M. Schnepp, ETH Zürich
Ch. Schwab, ETH Zürich
E.A. Spence, University of Bath


Slides:

Trefftz discontinuous Galerkin methods for the wave equation, XXIV CEDYA / XIV CMA, Cadiz, 9 June 2015
Approximation by plane and spherical waves, LMS Durham Symposium, 10 July 2014
Plane wave DG methods: Exponential convergence of the hp-version, Oxford, 15 May 2014
Is the Helmholtz equation really sign-indefinite?, British Computational PDEs Colloquium: New Trends, Edinburgh, 24 January 2014


Links:

Department of Mathematics and Statistics, University of Reading
Numerical Analysis and Computational Modelling Group, Reading
MPE CDT Centre of doctoral training Mathematics of Planet Earth, University of Reading and Imperial College London
Swiss national science foundation
SAM - Seminar for Applied Mathematics, ETH Zürich
Dipartimento di Matematica, Università di Pavia

I'm member of
SIAM, Society for Industrial and Applied Mathematics
GNCS, Gruppo Nazionale per il Calcolo Scientifico - INdAM
CDO, Centro Diffusione Origami
CAI Morbegno

Useful online tools
List of American and British spelling differences
NCLAB, use online Octave, Python and much more
SHERPA/RoMEO, publisher's policies regarding the self-archiving of journal articles and pre/post-prints
Jeffrey Beall's Scholarly Open Access, list of questionable scholarly journals and open access publishers


Conferences, workshops and seminars:

2017
Oberwolfach workshop on Space-time Methods for Time-dependent Partial Differential Equations, 12-18 March
2016
Space-Time Methods for PDEs, RICAM, Linz, 7-11 November
Seminar at SAM, ETH Zurich, 2 November
Mathematical and Computational Aspects of Maxwell's Equations, Durham, 11-21 July
Modern Topics in Nonlinear PDEs and Geometric Analysis, LMS-CMI Research School, 4-8 July
Seminar at Hamburg University of Technology, 23 June
Mafelap 2016, Brunel University, London, 14-17 June
ReaDG 2016:   Recent advances in discontinuous Galerkin methods, Reading, 13 June
Computational and Numerical Analysis of Transient Problems in Acoustics, Elasticity, and Electromagnetism, Banff International Research Station, 17-22 January (talk)
2015
Seminar at Laboratoire Poems, ENSTA-INRIA-CNRS, Palaiseau, France, 18 November (talk)
New directions in numerical computation, Oxford, 25-28 August (talk)
Waves 2015, minisymposium on "Wave-based discretizations", Karlsruhe, 20-24 July (talk)
XXIV CEDYA / XIV CMA, special session on Computational Acoustics, Cadiz, 8-12 June (talk)
Seminar at the University of Durham, 29 April (talk)
Lions-Magenes days, Pavia, 13-14 April
Seminar at the University of Bath, 20 February (talk)
2014
Boundary and finite element methods for high frequency scattering problems, Reading, 15-16 December (talk)
ReaDG:   Recent advances in discontinuous Galerkin methods, Reading, 11-12 September
Building Bridges: Connections and Challenges in Modern Approaches to Numerical PDEs, Durham, 8-16 July (talk)
3rd International Conference on Neural Field Theory, Reading, 16-18 June
CIME course on Computational Electromagnetism, Cetraro, 9-14 June
Computational mathematics and applications seminar, Oxford, 15 May (talk)
Seminar at the University of Vienna, 24 March (talk)
Recent Advances in Nonlinear PDEs and Calculus of Variations, Reading, 12-14 February
British Computational PDEs Colloquium: New Trends, ICMS, Edinburgh, 23-24 January (talk)
2013
Analysis of Partial Differential Equations, symposium in honour of Professor Vladimir Maz'ya, Liverpool, 16-17 December
Numerical analysis and data assimilation research afternoon, Reading, 30 October (talk)
Seminar at the Brain Embodiment Lab, Reading, 25 September (talk)
From Spectral Gaps to Particle Filters workshop, Reading, 17-18 September
Data Assimilation and Inverse Problems summer school, Reading, 22-26 July
CNS 2013 Computational Neurosciences Meeting, Paris, 13-18 July
LMS-EPSRC short course on Modern Nonlinear PDE Methods in Fluid Dynamics, Reading, 8-12 July
NETT Neural Engineering summer school, Nottingham, 1-5 July
Mafelap 2013, Brunel University, London, 11-14 June (talk)
Waves 2013, Gammarth, Tunisia, 3-7 June (talk)
Meeting on Riemann-Hilbert problems and their applications, Reading, 29-30 May
Seminar at the Collège de France, Paris, 17 May (talk)
Oberwolfach workshop on Computational Electromagnetism and Acoustics, 20-26 January (talk)
SIAM-UKIE annual meeting, Reading, 8 January
2012
Reading departmental analysis day, Reading, 19 October (talk)
Seminar at the University of Leicester, 18 October (talk)
InnoWave conference, Nottingham, 3-7 September (talk)
Zürich Summer School 2012 on A Posteriori Error Control and Adaptivity, Zürich, 20-24 August
Mathmondes 2012, French-British Network on Waves, Reading, 9-10 July
Conference in honour of Nancy Nichols' 70th birthday, Reading, 2-3 July
ESCO2012, 3rd European Seminar on Computing, Pilsen, Czech Republic, 25-29 June (talk)
ICMS Workshop on Boundary Value Problems for Linear Elliptic and Integrable PDEs, Edinburgh, 28 May-1 June
Second international conference on Neural Field Theory, Reading, 19-21 April
Seminar at the University of Strathclyde, Glasgow, 17 April (talk)
Numerical analysis postgraduate seminar day, Reading, 30 March
Seminar at the University of Bath, 23 March (talk)
Seminar at the University of Reading, 12 March (talk)
2011
Workshop on Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment, RICAM Linz, Austria, 21-25 November
Colloquium on Analysis and numerics of partial differential equations, in memory of Enrico Magenes, Pavia, 2-4 November
Workshop on Advances in Computational Wave Propagation, University College London, 2-3 September
Pro*Doc summer retreat, Disentis, Switzerland, 17-19 August
Finite Element Fair/Rodeo/Circus, University of Chicago Center, Paris, 3-4 June(talk)
Swiss Numerics Colloquium, UniversitÓ della Svizzera Italiana, Lugano, Switzerland, 6 May
SamHyp2011 - Numerical methods for hyperbolic equations, Zürich, 18-19 February
2010
Workshop on Next Generation Numerical Methods for Computational Wave Propagation, Cambridge, 17-18 September
ESF conference on Highly Oscillatory Problems: From Theory to Applications, Isaac Newton Institute, Cambridge, 12-17 September (talk)
Zürich Summer School 2010 on Sparse Tensor Discretisations of High-Dimensional Problems, Zürich, 23-27 August
Pro*Doc summer retreat, Disentis, Switzerland, 18-21 August (talk)
ACE'10 6th Workshop on Advanced Computational Electromagnetics, ETH Zürich, 5-7 July
Workshop on Non-Standard Numerical Methods for PDE's, Pavia, 29 June-2 July (talk)
DSPDEs'10, joint SIAM/RSME-SCM-SEMA Meeting on Emerging Topics in Dynamical Systems and PDEs, Barcelona, 31 May-4 June (talk)
Swiss Numerics Colloquium, ETH Zürich, 16 April
Oberwolfach workshop on Computational Electromagnetism and Acoustics, 14-20 February (talk)
WONAPDE 2010, Universidad de Concepciˇn, Chile, 11-15 January (talk)
2009
Seminar at the Chinese University of Hong Kong, 9 September (talk)
Pro*Doc summer retreat, Disentis, Switzerland, 16-19 August
MAFELAP 2009, Brunel University, London, 9-2 June (talk)
Swiss Numerics Colloquium, Basel, 24 April (talk)

(picture)