A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations
DOI10.1016/j.cam.2021.113441zbMath1471.65180OpenAlexW3128750077MaRDI QIDQ2020502
Xiao-Chuan Cai, Xiaomao Deng, Zi-Ju Liao
Publication date: 23 April 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113441
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Boundary value problems for second-order elliptic equations (35J25) System identification (93B30) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Decomposition methods (49M27) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Preconditioners for iterative methods (65F08) PDE constrained optimization (numerical aspects) (49M41)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A parallel space-time domain decomposition method for unsteady source inversion problems
- Inverse source identification by Green's function
- On rational approximation methods for inverse source problems
- Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
- Two-level Schwarz methods for a discontinuous Galerkin approximation of elliptic problems with jump coefficients
- Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids
- A finite-difference method for the variable coefficient Poisson equation on hierarchical Cartesian meshes
- Source identification problems for radially symmetric and axis-symmetric heat conduction equations
- Identification of source term for the ill-posed Rayleigh-Stokes problem by Tikhonov regularization method
- A parallel domain decomposition algorithm for large scale image denoising
- A two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functions
- Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem
- A robust all-at-once multigrid method for the Stokes control problem
- A numerical method for inverse source problems for Poisson and Helmholtz equations
- Parallel overlapping domain decomposition methods for coupled inverse elliptic problems
- A fast iterative solver for the variable coefficient diffusion equation on a disk
- Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems
- Fast Algorithms for Source Identification Problems with Elliptic PDE Constraints
- An efficient second-order accurate cut-cell method for solving the variable coefficient Poisson equation with jump conditions on irregular domains
- A multilevel algorithm for inverse problems with elliptic PDE constraints
- An inverse source problem in potential analysis
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- The inverse medium problem in 1D PML-truncated heterogeneous semi-infinite domains
- An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids
- Parallel Smoothed Aggregation Multilevel Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problems
- Application of inverse source concepts to photoacoustic tomography
This page was built for publication: A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations
