scientific article

zbMath1476.65228MaRDI QIDQ3385384

Salah Mahmoud Boulaaras

Publication date: 18 December 2021

Full work available at URL: http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/1613

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

diffusion equationRobin boundary conditionposteriori error estimatesGODDM

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

• Asymptotic behavior and \textit{a posteriori} error estimates for the generalized overlapping domain decomposition method for parabolic equation
• \(L^{\infty }\)-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem
• The theta time scheme combined with a finite-element spatial approximation in the evolutionary Hamilton-Jacobi-Bellman equation with linear source terms
• A posteriori error analysis for two non-overlapping domain decomposition techniques
• A posteriori estimates for a non-overlapping domain decomposition method
• A new proof for the existence and uniqueness of the discrete evolutionary HJB equations
• Overlapping domain decomposition methods for elliptic quasi-variational inequalities related to impulse control problem with mixed boundary conditions
• Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media
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