60 citations · 213 across the 19 of their papers we have counts for
19 papers
Nonlinear ultrasound imaging modeled by a Westervelt equation
Sebastian Acosta, Gunther Uhlmann, Jian Zhai
We consider the ultrasound imaging problem governed by a nonlinear wave equation of Westervelt type with variable wave speed. We show that the coefficient of nonlinearity can be re…
High order methods for acoustic scattering: Coupling Farfield Expansions ABC with Deferred-Correction methods
Vianey Villamizar, Dane Grundvig, Otilio Rojas +1
Arbitrary high order numerical methods for time-harmonic acoustic scattering problems originally defined on unbounded domains are constructed. This is done by coupling recently dev…
Solvability for Photoacoustic Imaging with Idealized Piezoelectric Sensors
Sebastian Acosta
Most reconstruction algorithms for photoacoustic imaging assume that the pressure field is measured by ultrasound sensors placed on a detection surface. However, such sensors do no…
Local on-surface radiation condition for multiple scattering of waves from convex obstacles
Sebastian Acosta
We propose a novel on-surface radiation condition to approximate the outgoing solution to the Helmholtz equation in the exterior of several impenetrable convex obstacles. Based on…
Well-posedness for Photoacoustic Tomography with Fabry-Perot Sensors
Sebastian Acosta
In the mathematical analysis of photoacoustic imaging, it is usually assumed that the acoustic pressure (Dirichlet data) is measured on a detection surface. However, actual ultraso…
Recovery of Pressure and Wave Speed for Photoacoustic Imaging under a Condition of Relative Uncertainty
Sebastian Acosta
In this paper, we study the photoacoustic tomography problem for which we seek to recover both the initial state of the pressure field and the wave speed of the medium from the kno…
A weight-adjusted discontinuous Galerkin method for wave propagation in coupled elastic-acoustic media
Kaihang Guo, Sebastian Acosta, Jesse Chan
This paper presents a high-order discontinuous Galerkin (DG) scheme for the simulation of wave propagation through coupled elastic-acoustic media. We use a first-order stress-veloc…
Thermoacoustic tomography for an integro-differential wave equation modeling attenuation
Sebastian Acosta, Benjamin Palacios
In this article we study the inverse problem of thermoacoustic tomography (TAT) on a medium with attenuation represented by a time- convolution (or memory) term, and whose consider…
High order surface radiation conditions for time-harmonic waves in exterior domains
Sebastian Acosta
We formulate a new family of high order on-surface radiation conditions to approximate the outgoing solution to the Helmholtz equation in exterior domains. Motivated by the pseudo-…
High order local absorbing boundary conditions for acoustic waves in terms of farfield expansions
Vianey Villamizar, Sebastian Acosta, Blake Dastrup
We devise a new high order local absorbing boundary condition (ABC) for radiating problems and scattering of time-harmonic acoustic waves from obstacles of arbitrary shape. By intr…
Photoacoustic imaging taking into account thermodynamic attenuation
Sebastian Acosta, Carlos Montalto
In this paper we consider a mathematical model for photoacoustic imaging which takes into account attenuation due to thermodynamic dissipation. The propagation of acoustic (compres…
Multiwave imaging in an enclosure with variable wave speed
Sebastian Acosta, Carlos Montalto
In this paper we consider the mathematical model of thermo- and photo-acoustic tomography for the recovery of the initial condition of a wave field from knowledge of its boundary v…
Source estimation with incoherent waves in random waveguides
Sebastian Acosta, Ricardo Alonso, Liliana Borcea
We study an inverse source problem for the acoustic wave equation in a random waveguide. The goal is to estimate the source of waves from measurements of the acoustic pressure at a…
A control approach to recover the wave speed (conformal factor) from one measurement
Sebastian Acosta
In this paper we consider the problem of recovering the conformal factor in a conformal class of Riemannian metrics from the boundary measurement of one wave field. More precisely,…
The DtN nonreflecting boundary condition for multiple scattering problems in the half-plane
Sebastian Acosta, Vianey Villamizar, Bruce Malone
The multiple-Dirichlet-to-Neumann (multiple-DtN) non-reflecting boundary condition is adapted to acoustic scattering from obstacles embedded in the half-plane. The multiple-DtN map…
On the multi-frequency inverse source problem in heterogeneous media
Sebastian Acosta, Sum Chow, James Taylor +1
The inverse source problem where an unknown source is to be identified from the knowledge of its radiated wave is studied. The focus is placed on the effect that multi-frequency da…
On-surface radiation condition for multiple scattering of waves
Sebastian Acosta
The formulation of the on-surface radiation condition (OSRC) is extended to handle wave scattering problems in the presence of multiple obstacles. The new multiple-OSRC simultaneou…
Recovery of the absorption coefficient in radiative transport from a single measurement
Sebastian Acosta
In this paper, we investigate the recovery of the absorption coefficient from boundary data assuming that the region of interest is illuminated at an initial time. We consider a su…
Time reversal for radiative transport with applications to inverse and control problems
Sebastian Acosta
In this paper we develop a time reversal method for the radiative transport equation to solve two problems: an inverse problem for the recovery of an initial condition from boundar…