The asymptotically optimal meshsize function for bi-p degree interpolation over rectangular elements

DOI10.1016/S0377-0427(98)00018-1zbMath0939.65133MaRDI QIDQ1298495

S. K. Gangaraj, Jens Hugger, K. Copps, Ivo M. Babuška, Theofanis Strouboulis

Publication date: 5 October 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

interpolationnumerical exampleserror estimatemesh refinementrectangular elementsmesh generation algorithmasymptotically optimal mesh subdivisions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (2)

2D and 3D finite element meshing and remeshing ⋮ Convergence rates for an adaptive dual weighted residual finite element algorithm

Cites Work

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• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• Basic principles of feedback and adaptive approaches in the finite element method
• Implementation of an adaptive refinement technique for the SUPG algorithm
• Local polynomial interpolation in a rectangle
• The theory of density representation of finite element meshes. Examples of density operators with quadrilateral elements in the mapped domain
• Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes
• An anisotropic \(h\)-type mesh-refinement strategy
• The post-processing approach in the finite element method—Part 3:A posteriori error estimates and adaptive mesh selection
• Grading Functions and Mesh Redistribution
• Recovery of the optimal mesh density function and near‐optimal meshes with rectangular elements in the mapped domain
• A posteriori estimation and adaptive control of the pollution error in the h‐version of the finite element method

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