Homotopy, polynomial equations, Gross boundary data, and small Helmholtz systems

DOI10.1006/jcph.1996.0070zbMath0848.65088OpenAlexW2017817992MaRDI QIDQ1913770

M. E. Everett

Publication date: 2 July 1996

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

Full work available at URL: https://doi.org/10.1006/jcph.1996.0070

zbMATH Keywords

numerical resultspositive solutionsinverse problemsHelmholtz equationshomotopylarge scale problemssystem of polynomial equationsDC resistivityelectromagnetic inductionground water flowGross boundary dataimprecise measurementssmall Helmholtz systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05)

Related Items (4)

A homotopy method for nonlinear inverse problems ⋮ A homotopy-projection method for the parameter estimation problems ⋮ A multigrid-homotopy method for nonlinear inverse problems ⋮ A homotopy method for the inversion of a two-dimensional acoustic wave equation

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