Analysis and algorithms for a regularized Cauchy problem arising from a non-linear elliptic PDE for seismic velocity estimation

DOI10.1016/J.JCP.2009.06.036zbMath1171.86003OpenAlexW2120019961MaRDI QIDQ732995

S. B. Fomel, Maria Kourkina Cameron, James A. Sethian

Publication date: 15 October 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc901633/

zbMATH Keywords

Cauchy problemerror analysisfinite differenceperturbation analysisChebyshev spectral methodill-posedelliptic PDEdix inversiongeometrical spreadingimage raysLax-Friedrics methodMarmousi exampleseismic velocitytime coordinatestime migration

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Nonlinear elliptic equations (35J60)

Cites Work

• A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation
• Fast Marching Methods
• Ordered Upwind Methods for Static Hamilton--Jacobi Equations: Theory and Algorithms
• A fast marching level set method for monotonically advancing fronts.
• Seismic velocity estimation from time migration
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
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