Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Andrea Moiola"'
Publikováno v:
Mathematics of Computation. 92:1211-1249
Trefftz methods are high-order Galerkin schemes in which all discrete functions are elementwise solution of the PDE to be approximated. They are viable only when the PDE is linear and its coefficients are piecewise-constant. We introduce a “quasi-T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5db776c38f69c10de5d05cc0f2f66ae8
https://doi.org/10.1090/mcom/3786
https://doi.org/10.1090/mcom/3786
We present and analyse numerical quadrature rules for evaluating regular and singular integrals on self-similar fractal sets. The integration domain $$\Gamma \subset \mathbb {R}^n$$ Γ ⊂ R n is assumed to be the compact attractor of an iterated fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc51838e7527eca6cabf5022dcb51a5a
http://arxiv.org/abs/2112.11793
http://arxiv.org/abs/2112.11793
Publikováno v:
Hiptmair, R, Moiola, A & Spence, E 2022, ' Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem ', SIAM Journal on Applied Mathematics, vol. 82, no. 4, pp. 1446-1469 . https://doi.org/10.1137/21M1447052
We consider the Helmholtz transmission problem with piecewise-constant material coefficients, and the standard associated direct boundary integral equations. For certain coefficients and geometries, the norms of the inverses of the boundary integral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06ab097d674f5e4f3d4bb1b5dab59ac0
http://arxiv.org/abs/2109.08530
http://arxiv.org/abs/2109.08530
Publikováno v:
Journal of Quantitative Spectroscopy and Radiative Transfer. 230:155-171
The discrete dipole approximation is used to explore the internal electric fields of plane-wave-illuminated ice particles, and analyse their differential scattering cross sections. The results are displayed for monocrystals and aggregates of size par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a04b65753c8688b6b744aa4b0b6a85b
https://doi.org/10.1016/j.jqsrt.2019.04.019
https://doi.org/10.1016/j.jqsrt.2019.04.019
Publikováno v:
Journal of Computational and Applied Mathematics. 352:110-131
A new, coercive formulation of the Helmholtz equation was introduced in [Moiola, Spence, SIAM Rev. 2014]. In this paper we investigate $h$-version Galerkin discretisations of this formulation, and the iterative solution of the resulting linear system
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b58ca14f5ccc95275d7e7efea6f38a33
https://doi.org/10.1016/j.cam.2018.11.035
https://doi.org/10.1016/j.cam.2018.11.035
Autor:
Andrea Moiola, Euan A. Spence
Publikováno v:
Moiola, A & Spence, E 2019, ' Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions ', Mathematical Models & Methods in Applied Sciences, vol. 29, no. 2, pp. 317-354 . https://doi.org/10.1142/S0218202519500106
We consider the Helmholtz transmission problem with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prove bounds on the solution in terms of the data, with these bounds explicit in all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6bacf2de79380bbc2a0f9a11e5df9c11
https://doi.org/10.1142/s0218202519500106
https://doi.org/10.1142/s0218202519500106
A space-time Trefftz discontinuous Galerkin method for the Schr\"odinger equation with piecewise-constant potential is proposed and analyzed. Following the spirit of Trefftz methods, trial and test spaces are spanned by non-polynomial complex wave fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b447771ea6c230e205a2511e7ccd15ed
http://arxiv.org/abs/2106.04724
http://arxiv.org/abs/2106.04724
Publikováno v:
IMA Journal of Numerical Analysis, 41 (3)
We develop a convergence theory of space-time discretizations for the linear, 2nd-order wave equation in polygonal domains $\Omega\subset\mathbb{R}^2$, possibly occupied by piecewise homogeneous media with different propagation speeds. Building on an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::890fda2a02de26b401ddb1eefba6a522
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We investigate two density questions for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets. Our main results, stated in the simplest Sobolev space setting, are that: (i) for an open set $\Omega\subset\mathbb R^n$, $\mathcal{D}(\Omega)$ is den
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff130b94f1047d52cff1e52de3c23cfe
https://doi.org/10.1016/j.jfa.2021.109019
https://doi.org/10.1016/j.jfa.2021.109019