5 papers
Inverse photoacoustic tomography problem in media with fractional attenuation
Sebastian Acosta, Benjamin Palacios
We investigate the inverse problem of recovering an initial source for the wave equation with fractional attenuation, motivated by photoacoustic tomography (PAT). The attenuation i…
Simultaneous determination of wave speed, diffusivity and nonlinearity in the Westervelt equation using complex time-periodic solutions
Sebastian Acosta, Benjamin Palacios
We consider an inverse problem governed by the Westervelt equation with linear diffusivity and quadratic-type nonlinearity. The objective of this problem is to recover all the coef…
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…
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…
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…