Basis function selection and preconditioning high degree finite element and spectral methods

DOI10.1007/BF01932746zbMath0708.65105MaRDI QIDQ920611

E. Barragy, Graham F. Carey

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemfinite element methodpreconditioningcondition numberconjugate gradient methodfinite element spacespectral methodsbasis function selectionchoice of the basis

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

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Cites Work

• Unnamed Item
• Mesh design for the p-version of the finite element method
• Spectral element multigrid. I: Formulation and numerical results
• Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices
• Thep-Version of the Finite Element Method
• Condition of finite element matrices generated from nonuniform meshes.