DOI10.1137/S0363012997318602zbMath0940.65117OpenAlexW1993491255MaRDI QIDQ4253016
Jun Zou, Zhiming Chen
Publication date: 24 June 1999
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0363012997318602
On convex modified output least-squares for elliptic inverse problems: stability, regularization, applications, and numerics,
An Abstract Framework for Elliptic Inverse Problems: Part 2. An Augmented Lagrangian Approach,
A parametric level set based collage method for an inverse problem in elliptic partial differential equations,
Convergence rate analysis of the coefficient identification problems in a Kuramoto–Sivashinsky equation,
Sparsity regularization of the diffusion coefficient identification problem: well-posedness and convergence rates,
Identification of diffusion parameters in a non-linear convection–diffusion equation using adaptive homotopy perturbation method,
Convergence analysis of primal-dual based methods for total variation minimization with finite element approximation,
An accelerated augmented Lagrangian method for linearly constrained convex programming with the rate of convergence \(O\left({1/{k^2}} \right)\),
A wavelet multiscale method for the inverse problem of a nonlinear convection-diffusion equation,
A piecewise constant level set method for elliptic inverse problems,
Identifying conductivity in electrical impedance tomography with total variation regularization,
Immersed virtual element methods for elliptic interface problems in two dimensions,
Topology optimization for steady-state anisothermal flow targeting solids with piecewise constant thermal diffusivity,
Unnamed Item,
A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements,
Numerical approximation of the optimal control of a population dynamics model,
Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations,
Numerical recovery of magnetic diffusivity in a three dimensional spherical dynamo equation,
Convergence analysis of an alternating direction method of multipliers for the identification of nonsmooth diffusion parameters with total variation,
A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points,
Mathematical and Numerical Study of a Three-Dimensional Inverse Eddy Current Problem,
An Alternating Direction Method of Multipliers for Inverse Lithography Problem,
An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data,
Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT,
Descent gradient methods for nonsmooth minimization problems in ill-posed problems,
Simultaneous identification of convection velocity and source strength in a convection–diffusion equation,
Determining two coefficients in diffuse optical tomography with incomplete and noisy Cauchy data,
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.,
Acousto-electric tomography with total variation regularization,
A method of determining the elastic properties of inhomogeneous solids,
An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature,
An Abstract Framework for Elliptic Inverse Problems: Part 1. An Output Least-Squares Approach,
Convergence rates for total variation regularization of coefficient identification problems in elliptic equations. II,
Convergence rates for Tikhonov regularization of a two-coefficient identification problem in an elliptic boundary value problem,
Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems,
Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems,
Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation,
The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems,
Iterative regularization for elliptic inverse problems,
Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters,
A fixed mesh method with immersed finite elements for solving interface inverse problems,
New preconditioners for nonsymmetric saddle point systems with singular \((1,1)\) block,
Parameter estimation with the augmented Lagrangian method for a parabolic equation,
Convergence rate analysis for parameter identification with semi-linear parabolic equation,
An augmented Lagrangian method for parameter identifications in parabolic systems,
Finite element approximation of source term identification with TV-regularization,
On the inverse problem of identifying Lamé coefficients in linear elasticity,
On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation,
A Vectorized Regularization Method for Multivalued Parameters Identification,
Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation,
An adjoint state method for an Schrödinger inverse problem,
A level set method to reconstruct the discontinuity of the conductivity in EIT,
An Inexact Uzawa Algorithmic Framework for Nonlinear Saddle Point Problems with Applications to Elliptic Optimal Control Problem,
Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method,
Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method,
An ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observations,
Optimization of Bathymetry for Long Waves with Small Amplitude,
Unnamed Item,
An augmented Lagrangian algorithm for recovery of ice thickness in unidirectional flow using the shallow ice approximation,
An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation,
A coupled complex boundary method for an inverse conductivity problem with one measurement,
A parallel space-time domain decomposition method for unsteady source inversion problems,
A New Energy Inversion for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location,
A coupled complex boundary method for parameter identification in elliptic problems