The optimal convergence rate of a \(C^{1}\) finite element method for non-smooth domains

DOI10.1016/j.cam.2009.11.020zbMath1207.65130OpenAlexW2095487507MaRDI QIDQ847257

Ana Maria Soane, Manil Suri, Rouben Rostamian

Publication date: 12 February 2010

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.2009.11.020

zbMATH Keywords

numerical resultsfinite elementscorner singularitiesoptimal convergence ratesgraded meshesmesh refinementssecond order elliptic boundary value problemArgyris elementsnon-convex polygonal domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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