Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the p-version R Hiptmair, A Moiola, I Perugia SIAM journal on numerical analysis 49 (1-2), 264-284, 2011 | 219 | 2011 |
Plane wave approximation of homogeneous Helmholtz solutions A Moiola, R Hiptmair, I Perugia Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 62 (5), 809-837, 2011 | 173 | 2011 |
A survey of Trefftz methods for the Helmholtz equation R Hiptmair, A Moiola, I Perugia Building bridges: connections and challenges in modern approaches to …, 2016 | 147 | 2016 |
Interpolation of Hilbert and Sobolev spaces: Quantitative estimates and counterexamples SN Chandler-Wilde, DP Hewett, A Moiola Mathematika 61 (2), 414-443, 2015 | 107 | 2015 |
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations R Hiptmair, A Moiola, I Perugia Mathematics of Computation 82 (281), 247-268, 2013 | 104 | 2013 |
Is the Helmholtz equation really sign-indefinite? A Moiola, EA Spence | 93 | 2012 |
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions A Moiola, E Spence Mathematical Models & Methods in Applied Sciences 29 (2), 317-354, 2019 | 67 | 2019 |
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions R Hiptmair, A Moiola, I Perugia Mathematical Models and Methods in Applied Sciences 21 (11), 2263-2287, 2011 | 61 | 2011 |
Trefftz-discontinuous Galerkin methods for time-harmonic wave problems A Moiola Diss., Eidgenössische Technische Hochschule ETH Zürich, Nr. 19957, 2011, 2011 | 59 | 2011 |
Plane wave discontinuous Galerkin methods: exponential convergence of the hp-version R Hiptmair, A Moiola, I Perugia Foundations of Computational Mathematics 16 (3), 637-675, 2016 | 56 | 2016 |
A space–time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation A Moiola, I Perugia Numerische Mathematik 138 (2), 389-435, 2018 | 53 | 2018 |
Sobolev Spaces on Non-Lipschitz Subsets of {\mathbb {R}}^ n with Application to Boundary Integral Equations on Fractal Screens SN Chandler-Wilde, DP Hewett, A Moiola Integral Equations and Operator Theory 87 (2), 179-224, 2017 | 48 | 2017 |
A priori error analysis of space–time Trefftz discontinuous Galerkin methods for wave problems F Kretzschmar, A Moiola, I Perugia, SM Schnepp IMA Journal of Numerical Analysis 36 (4), 1599-1635, 2016 | 47 | 2016 |
Vekua theory for the Helmholtz operator A Moiola, R Hiptmair, I Perugia Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 62 (5), 779-807, 2011 | 42 | 2011 |
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes R Hiptmair, A Moiola, I Perugia Applied Numerical Mathematics 79, 79-91, 2013 | 38 | 2013 |
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM R Hiptmair, A Moiola, I Perugia, C Schwab ESAIM: Mathematical Modelling and Numerical Analysis 48 (03), 727-752, 2014 | 33 | 2014 |
Boundary element methods for acoustic scattering by fractal screens SN Chandler-Wilde, DP Hewett, A Moiola, J Besson Numerische Mathematik 147 (4), 785-837, 2021 | 23 | 2021 |
Space–time discontinuous Galerkin approximation of acoustic waves with point singularities P Bansal, A Moiola, I Perugia, C Schwab IMA Journal of Numerical Analysis 41 (3), 2056-2109, 2021 | 21 | 2021 |
On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space DP Hewett, A Moiola Analysis and applications 15 (05), 731-770, 2017 | 19 | 2017 |
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients LM Imbert-Gérard, A Moiola, P Stocker Mathematics of Computation 92 (341), 1211-1249, 2023 | 17 | 2023 |