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math.NA2024
A new interpolated pseudodifferential preconditioner for the Helmholtz equation in heterogeneous media
Sebastian Acosta, Tahsin Khajah, Benjamin Palacios
This paper introduces a new pseudodifferential preconditioner for the Helmholtz equation in variable media with absorption. The pseudodifferential operator is associated with the m…
math.NA2023
Pseudodifferential Models for Ultrasound Waves with Fractional Attenuation
Sebastian Acosta, Jesse Chan, Raven Johnson +1
To strike a balance between modeling accuracy and computational efficiency for simulations of ultrasound waves in soft tissues, we derive a pseudodifferential factorization of the…
math.NA2023
Method of virtual sources using on-surface radiation conditions for the Helmholtz equation
Sebastian Acosta, Tahsin Khajah
We develop a novel method of virtual sources to formulate boundary integral equations for exterior wave propagation problems. However, by contrast to classical boundary integral fo…