A Globally Convergent Numerical Method for a Coefficient Inverse Problem
From MaRDI portal
Publication:5189679
DOI10.1137/070711414zbMath1185.65175OpenAlexW2069936251MaRDI QIDQ5189679
Michael V. Klibanov, Larisa Beilina
Publication date: 10 March 2010
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070711414
global convergencewave equationnumerical experimentsprojection methodcoefficient inverse problemlayer-stripping method
Inverse problems for PDEs (35R30) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (45)
Features of numerical reconstruction of a boundary condition in an inverse problem for a reaction-diffusion-advection equation with data on the position of a reaction front ⋮ Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems ⋮ A time domain sampling method for inverse acoustic scattering problems ⋮ Reconstruction of two time independent coefficients in an inverse problem for a phase field system ⋮ Reconstruction of Permittivity from the Modulus of a Scattered Electric Field ⋮ Optical imaging of phantoms from real data by an approximately globally convergent inverse algorithm ⋮ Asymptotic solution of the inverse problem for restoring the modular type source in Burgers' equation with modular advection ⋮ Some features of solving an inverse backward problem for a generalized Burgers' equation ⋮ Chaotic hunger games search optimization algorithm for global optimization and engineering problems ⋮ Iterative method for solving an inverse coefficient problem for a hyperbolic equation ⋮ Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction ⋮ Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data ⋮ Iterative method for the numerical solution of an inverse coefficient problem for a system of partial differential equations ⋮ Numerical methods for identifying the diffusion coefficient in a nonlinear elliptic equation ⋮ Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data ⋮ Convexification of a 3-D coefficient inverse scattering problem ⋮ Asymptotic solution of coefficient inverse problems for Burgers-type equations ⋮ On a hyperbolic coefficient inverse problem via partial dynamic boundary measurements ⋮ The Krein method and the globally convergent method for experimental data ⋮ Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem ⋮ Use of asymptotic analysis for solving the inverse problem of source parameters determination of nitrogen oxide emission in the atmosphere ⋮ A globally convergent numerical method for an inverse elliptic problem of optical tomography ⋮ Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem ⋮ Relaxation property for the adaptivity for ill-posed problems ⋮ Approximate global convergence and quasireversibility for a coefficient inverse problem with backscattering data ⋮ A numerical method for reconstructing the coefficient in a wave equation ⋮ Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation ⋮ New a posteriori error estimates for adaptivity technique and global convergence for the hyperbolic coefficient inverse problem ⋮ Why a minimizer of the Tikhonov functional is closer to the exact solution than the first guess ⋮ Stability of diffusion coefficients in an inverse problem for the Lotka-Volterra competition system ⋮ Global convergence for a 1-D inverse problem with application to imaging of land mines ⋮ Evaluation of diffusion coefficient based on multiple forward solutions ⋮ Globally strictly convex cost functional for an inverse parabolic problem ⋮ Biography of Michael V. Klibanov Professor, Ph.D. and Doctor of Science in Physics and Mathematics and an outstanding expert in inverse problems ⋮ A globally convergent numerical method for coefficient inverse problems for thermal tomography ⋮ The philosophy of the approximate global convergence for multidimensional coefficient inverse problems ⋮ Imaging of Buried Objects from Experimental Backscattering Time-Dependent Measurements Using a Globally Convergent Inverse Algorithm ⋮ Determination of Permittivity from Propagation Constant Measurements in Optical Fibers ⋮ Identification of deformable droplets from boundary measurements: the case of non-stationary Stokes problem ⋮ Approximate Global Convergence in Imaging of Land Mines from Backscattered Data ⋮ Adaptive Finite Element Method in Reconstruction of Dielectrics from Backscattered Data ⋮ Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain ⋮ Carleman estimates for the regularization of ill-posed Cauchy problems ⋮ Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D ⋮ Recent advances in analytical and numerical methods in inverse problems for PDEs (minisymposium report)
This page was built for publication: A Globally Convergent Numerical Method for a Coefficient Inverse Problem
