Analyzing the role of the Inf-Sup condition for parameter identification in saddle point problems with application in elasticity imaging
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Publication:5151520
DOI10.1080/02331934.2020.1789128zbMath1458.35476OpenAlexW3042460515MaRDI QIDQ5151520
Christiane Tammer, Michael Richards, Miguel Sama, Baasansuren Jadamba, Akhtar A. Khan
Publication date: 19 February 2021
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2020.1789128
parameter identificationsaddle point problemselliptic regularizationoutput least-squareselasticity imaging
Inverse problems for PDEs (35R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Inverse problems in optimal control (49N45) Numerical solution to inverse problems in abstract spaces (65J22) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
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- An equation error approach for the elasticity imaging inverse problem for predicting tumor location
- Regularization and stabilization of discrete saddle-point variational problems
- Stabilizing inverse problems by internal data. II: Non-local internal data and generic linearized uniqueness
- An inverse problem formulation for parameter estimation of a reaction-diffusion model of low grade gliomas
- Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities
- A variational inequality formulation of an inverse elasticity problem
- Adjoint formulation and constraint handling for gradient-based optimization of compositional reservoir flow
- Statistical and computational inverse problems.
- Coupling brain-tumor biophysical models and diffeomorphic image registration
- A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations
- PDE-constrained optimization in medical image analysis
- A first-order adjoint and a second-order hybrid method for an energy output least-squares elastography inverse problem of identifying tumor location
- On the regularization and approximation of saddle point problems without inf-sup condition
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- An alternating direction approximate Newton algorithm for ill-conditioned inverse problems with application to parallel MRI
- Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements
- Constitutive error based material parameter estimation procedure for hyperelastic material
- An online parameter identification method for time dependent partial differential equations
- Natural Preconditioning and Iterative Methods for Saddle Point Systems
- A New Energy Inversion for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location
- Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces
- Separation of Scales in Elasticity Imaging: A Numerical Study
- L ∞ fitting for inverse problems with uniform noise
- On stabilized finite element methods for the Stokes problem in the small time step limit
- A Semismooth Newton-CG Method for Constrained Parameter Identification in Seismic Tomography
- A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
- Finite Element Methods for Navier-Stokes Equations
- Perturbation of mixed variational problems. Application to mixed finite element methods
- Mixed and Hybrid Finite Element Methods
- Least squares and bounded variation regularization with nondifferentiable functionals
- Solution of inverse problems in elasticity imaging using the adjoint method
- Stochastic Finite Element Method for Torso Conductivity Uncertainties Quantification in Electrocardiography Inverse Problem
- First-order and second-order adjoint methods for parameter identification problems with an application to the elasticity imaging inverse problem
- New development in freefem++
- Where did the tumor start? An inverse solver with sparse localization for tumor growth models
- A New Convex Inversion Framework for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location
- Second-order adjoints for solving PDE-constrained optimization problems
- Preconditioning inverse problems for hyperbolic equations with applications to photoacoustic tomography
- Proximal Methods for the Elastography Inverse Problem of Tumor Identification Using an Equation Error Approach
- A numerical study of heuristic parameter choice rules for total variation regularization
- Finite Elements
