\(h\)-, \(p\)-, and \(hp\)-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications
DOI10.1134/S0965542522040029zbMath1492.65338OpenAlexW4281709696MaRDI QIDQ2672019
Sergey Golushko, V. A. Belyaev, Luka Bryndin, Vasily P. Shapeev, Boris Semisalov
Publication date: 8 June 2022
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542522040029
biharmonic equationboundary value problemleast-squares collocation methodhigher order of convergencebending of isotropic plateirregular multiply-connected domain
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Plates (74K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) PDEs in connection with mechanics of deformable solids (35Q74)
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