A new iterative method for solving the coefficient inverse problem of the wave equation

DOI10.1002/cpa.3160390303zbMath0609.65086OpenAlexW2019376221MaRDI QIDQ3750080

Ganquan Xie

Publication date: 1986

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160390303

zbMATH Keywords

wave equationNewton's methodwell-posed problemill-posed problemcoefficient inverse problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Applications to the sciences (65Z05)

Related Items (9)

Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation ⋮ Parameter identification for the linear wave equation with Robin boundary condition ⋮ A parallel algorithm for solving the 3D inverse scattering problem ⋮ GL method for solving equations in math-physics and engineering ⋮ Methods for solving dynamic inverse problems for hyperbolic equations ⋮ Numerical algorithm based on transmutation for solving inverse wave equation ⋮ A meshfree method for inverse wave propagation using collocation and radial basis functions ⋮ Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions ⋮ A computational method to estimate the unknown coefficient in a wave equation using boundary measurements

This page was built for publication: A new iterative method for solving the coefficient inverse problem of the wave equation