4 papers
Application of Optimal Transport and the Quadratic Wasserstein Metric to Full-Waveform Inversion
Yunan Yang, Björn Engquist, Junzhe Sun +1
Conventional full-waveform inversion (FWI) using the least-squares norm () as a misfit function is known to suffer from cycle skipping. This increases the risk of computing a…
Optimal Transport for Seismic Full Waveform Inversion
Bjorn Engquist, Brittany D. Froese, Yunan Yang
Full waveform inversion is a successful procedure for determining properties of the earth from surface measurements in seismology. This inverse problem is solved by a PDE constrain…
Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature
Brittany D. Froese
We consider the numerical approximation of surfaces of prescribed Gaussian curvature via the solution of a fully nonlinear partial differential equation of Monge-Ampère type. These…
Meshfree finite difference approximations for functions of the eigenvalues of the Hessian
Brittany D. Froese
We introduce meshfree finite difference methods for approximating nonlinear elliptic operators that depend on second directional derivatives or the eigenvalues of the Hessian. Appr…