Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems

DOI10.1007/s10915-015-0109-1zbMath1342.49044arXiv1508.06103OpenAlexW2120441672MaRDI QIDQ2629244

Jun Zou, Xiao-Chuan Cai, Xiaomao Deng

Publication date: 5 July 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06103

zbMATH Keywords

finite elementsfinite difference methodparallel computingmultilevel methodinverse source problemsspace-time methoddomain decomposition preconditioner

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Large-scale problems in mathematical programming (90C06) Optimality conditions for problems involving partial differential equations (49K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Decomposition methods (49M27) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Discrete approximations in optimal control (49M25) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in optimal control (49N45) Preconditioners for iterative methods (65F08)

Related Items (15)

An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems ⋮ Inverse source problems in electrodynamics ⋮ On an asymmetric backward heat problem with the space and time-dependent heat source on a disk ⋮ Parallel two-level space-time hybrid Schwarz method for solving linear parabolic equations ⋮ Domain decomposition methods for recovering Robin coefficients in elliptic and parabolic systems ⋮ Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations ⋮ An approximation scheme for the Kantorovich-Rubinstein problem on compact spaces ⋮ Nonlinear parallel-in-time simulations of multiphase flow in porous media ⋮ Convergence analysis of space-time domain decomposition method for parabolic equations ⋮ Simultaneous identification of convection velocity and source strength in a convection–diffusion equation ⋮ Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems ⋮ A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems ⋮ Two-level space-time domain decomposition methods for flow control problems ⋮ A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations ⋮ Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations

Uses Software

• PETSc

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