Quotient-space boundary element methods for scattering at complex screens

Autor: Ralf Hiptmair, Xavier Claeys, Lorenzo Giacomel, Carolina Urzúa-Torres

Publikováno v: BIT Numerical Mathematics, 61 (4)
BIT Numerical Mathematics
BIT Numerical Mathematics, 2021, ⟨10.1007/s10543-021-00859-y⟩
BIT Numerical Mathematics, Springer Verlag, 2021, ⟨10.1007/s10543-021-00859-y⟩
Bit (Lisse): numerical mathematics, 61(4)

A complex screen is an arrangement of panels that may not be even locally orientable because of junction lines. A comprehensive trace space framework for first-kind variational boundary integral equations on complex screens has been established in Cl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c53d27ae621b7929ecff552afe74f2b
https://hdl.handle.net/20.500.11850/487717

Compact equivalent inverse of the electric field integral operator on screens

Autor: Ralf Hiptmair, Carolina Urzúa-Torres

Publikováno v: Integral Equations and Operator Theory, 92 (1)

We construct inverses of the variational electric field boundary integral operator up to compact perturbations on orientable topologically simple screens. We describe them as solution operators of variational problems set in low-regularity standard t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8a1b8beb91e5eb1332af7ba5ff2eb74
https://doi.org/10.1007/s00020-020-2564-9

Optimal operator preconditioning for pseudodifferential boundary problems

Autor: Heiko Gimperlein, Jakub Stocek, Carolina Urzúa-Torres

Publikováno v: Numerische Mathematik, 148(1)

We propose an operator preconditioner for general elliptic pseudodifferential equations in a domain $\Omega$, where $\Omega$ is either in $\mathbb{R}^n$ or in a Riemannian manifold. For linear systems of equations arising from low-order Galerkin disc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cac8d3c878c1e2d603dc7885d90f0eb

Fast Spectral Galerkin Method for Logarithmic Singular Equations on a Segment

Autor: Carolina Urzúa-Torres, Carlos Jerez-Hanckes, Serge Nicaise

Publikováno v: Journal of Computational Mathematics-International Edition
Journal of Computational Mathematics-International Edition-, Global Science Press, 2018, 36 (1), pp.128-158. ⟨10.4208/jcm.1612-m2016-0495⟩

International audience; We present a fast Galerkin spectral method to solve logarithmic singular equations on segments. The proposed method uses weighted first-kind Chebyshev polynomials. Convergence rates of several orders are obtained for fractiona

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::902fc8693ba165f7eda5f201db4c5edb
https://hal.archives-ouvertes.fr/hal-01956620