Resolution of fourth-order problems by the mortar element method

DOI10.1016/S0045-7825(94)80007-3zbMath0824.65111MaRDI QIDQ1892443

Christine Bernardi, Zakaria Belhachmi

Publication date: 13 November 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

mortar element methodimplementationbiharmonic problemfourth-order problems

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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Solving the singular two-dimensional fourth order problem by the mortar spectral element method, A large deformation mortar formulation of self contact with finite sliding, Implementation of the mortar method in the wavelet context, Conforming spectral approximations for non-conforming domain decompositions, On mortar-type Morley element method for plate bending problem, Substructuring preconditioners forh−pMortar FEM, A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations, Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems, Localized Lagrange Multipliers Mixed (u,p) Formulation Applied in Wind Turbine Analysis, A fully conforming spectral collocation scheme for second- and fourth-order problems

Cites Work

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• Mixed finite element method for the Stokes and Navier-Stokes equations in a nonconvex polxgon
• Some Spectral Approximations of Two-Dimensional Fourth-Order Problems
• Coupling Finite Element and Spectral Methods: First Results