Box Constraints and Weighted Sparsity Regularization for Identifying Sources in Elliptic PDEs
From MaRDI portal
Publication:6655469
DOI10.1080/01630563.2024.2405489MaRDI QIDQ6655469
Bjørn Fredrik Nielsen, Ole Løseth Elvetun
Publication date: 23 December 2024
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new Kohn-Vogelius type formulation for inverse source problems
- On rational approximation methods for inverse source problems
- Sources recovery from boundary data: A model related to electroencephalography
- Convex source support in three dimensions
- Exact support recovery for sparse spikes deconvolution
- A regularization operator for source identification for elliptic PDEs
- Necessary and sufficient conditions of solution uniqueness in 1-norm minimization
- Inverse Source Problems for the Helmholtz Equation and the Windowed Fourier Transform II
- Inverse Source Problems for the Helmholtz Equation and the Windowed Fourier Transform
- Fourier method for recovering acoustic sources from multi-frequency far-field data
- Necessary and sufficient conditions for linear convergence of ℓ1-regularization
- Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions
- Convex Source Support and Its Application to Electric Impedance Tomography
- Direct algorithms for solving some inverse source problems in 2D elliptic equations
- On Sparse Representations in Arbitrary Redundant Bases
- Decoding by Linear Programming
- Greed is Good: Algorithmic Results for Sparse Approximation
- Reconstruction of a source domain from the Cauchy data
- Estimation of Interfaces from Boundary Measurements
- A range test for determining scatterers with unknown physical properties
- The scattering support
- An inverse source problem in potential analysis
- Retrieval of acoustic sources from multi-frequency phaseless data
- Identification of a Core from Boundary Data
- Iterative methods for the reconstruction of an inverse potential problem
- Inverse problems in spaces of measures
- Reconstruction of extended sources for the Helmholtz equation
- Sparsity regularization for parameter identification problems
- Sparsity regularization in inverse problems
- Modified Tikhonov regularization for identifying several sources
- Locating Multiple Multipolar Acoustic Sources Using the Direct Sampling Method
- Sparse regularization on thin grids I: the Lasso
- The Convex Scattering Support in a Background Medium
- Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ 1 minimization
- A Regularization Approach for an Inverse Source Problem in Elliptic Systems from Single Cauchy Data
- Reconstruction of a source domain from the Cauchy data: II. Three-dimensional case
- Weighted sparsity regularization for source identification for elliptic PDEs
This page was built for publication: Box Constraints and Weighted Sparsity Regularization for Identifying Sources in Elliptic PDEs