Convergent scattering series solution of the inhomogeneous Helmholtz equation via renormalization group and homotopy continuation approaches

DOI10.1016/J.JCP.2020.109343zbMath1435.86003OpenAlexW3007634941MaRDI QIDQ778311

Morten Jakobsen, Xingguo Huang, Ru-Shan Wu

Publication date: 2 July 2020

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109343

zbMATH Keywords

computational efficiencyiterative solutionLippmann-Schwinger equationconvergence issues

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Computational methods for problems pertaining to geophysics (86-08) Green's functions for elliptic equations (35J08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparative study of homotopy analysis and renormalization group methods on Rayleigh and Van der Pol equations
• Three-dimensional visco-acoustic modeling using a renormalized integral equation iterative solver
• Globally convergent homotopy methods: A tutorial
• A convergent Born series for solving the inhomogeneous Helmholtz equation in arbitrarily large media
• Runge-Kutta methods on Lie groups
• Renormalization group and fixed points. In quantum field theory
• Multiple scattering in solids
• The Renormalization Group: A Perturbation Method for the Graduate Curriculum
• Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
• A homotopy method for the inversion of a two-dimensional acoustic wave equation
• The Homotopy Continuation Method: Numerically Implementable Topological Procedures
• A contrast source inversion method
• Inverse scattering series and seismic exploration
• Quantum Electrodynamics at Small Distances

This page was built for publication: Convergent scattering series solution of the inhomogeneous Helmholtz equation via renormalization group and homotopy continuation approaches