Numerical solutions of biharmonic equations on non-convex polygonal domains

DOI10.1016/J.CAM.2020.113022zbMath1486.65262OpenAlexW3035146492MaRDI QIDQ2195908

Birce Palta, Hae-Soo Oh

Publication date: 28 August 2020

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.2020.113022

zbMATH Keywords

domain decompositionSchwarz alternating methodB-splineadditive (parallel) Schwarz methodcorners and cracksenriched PU-FEM

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (2)

Extraction of stress intensity factors of biharmonic equations with corner singularities corresponding to mixed boundary conditions of clamped, simply supported, and free (II) ⋮ Extraction formulas of stress intensity factors for the biharmonic equations containing crack singularities

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