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math.NA2026
Discretization in Multilayered Media with High Contrasts: Is It All About the Boundaries?
Camille Carvalho, Stéphanie Chaillat, Elsie Cortes +1
Wave propagation in multilayered media with high material contrasts poses significant numerical challenges, as large variations in wavenumbers lead to strong reflections and comple…
math.NA2017★ 53 cited
Theory and implementation of -matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
Stéphanie Chaillat, Luca Desiderio, Patrick Ciarlet
In this work, we study the accuracy and efficiency of hierarchical matrix (-matrix) based fast methods for solving dense linear systems arising from the discretization…