RT Journal Article
T1 Mathematical and numerical study of transient wave scattering by obstacles with a new class of arlequin coupling
A1 Albella Martínez, Jorge
A1 Ben Dhia, H.
A1 Imperiale, S.
A1 Rodríguez García, Jerónimo
K1 Wave propagation
K1 Domain decomposition
K1 Stability analysis
K1 Arlequin method
AB In this work, we extend the Arlequin method, a multiscale and multimodel framework based on overlapping domains and energy partitions for reliable modeling and flexible simulation of transient problems of wave scattering by obstacles. The main contribution is the derivation and analysis of new variants of the coupling operators. The constructed finite element and finite difference discretizations allow for solving wave propagation problems while using nonconforming and overlapping meshes for the background propagating medium and a local patch surrounding the obstacle, respectively. This provides a method with great flexibility and a low computational cost. The method is proved to be stable in terms of both space discrtization-an inf-sup condition is established-and time discretization-conservation of discrte energy is proved. 1 dimensional and 2 dimensional numerical results confirm the good perfomance of the overall discretization scheme.
PB Society for Industrial and Applied Mathematics
SN 0036-1429
YR 2019
FD 2019
LK https://hdl.handle.net/10347/41112
UL https://hdl.handle.net/10347/41112
LA eng
NO Albella, Ben Dhia, Imperiale, & Rodríguez. (2019). Mathematical and numerical study of transient wave scattering by obstacles with a new class of arlequin coupling. SIAM Journal on Numerical Analysis, 57(5), 2436-2468. https://doi.org/10.1137/19M1263959
DS Minerva
RD 28 abr 2026