Zur numerischen Lösung des ersten biharmonischen Randwertproblems. (On the numerical solution of the first biharmonic boundary value problem)

DOI10.1007/BF01390707zbMath0597.65081MaRDI QIDQ5966455

Ulrich Langer

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133155

zbMATH Keywords

finite elementsnumerical examplesfactorizationsUzawa's algorithmfirst biharmonic boundary value problempreconditioned Uzawa-type iterative methodsRayleigh-Ritz and Galerkin method

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 and polyharmonic equations and functions in higher dimensions (31B30) Iterative numerical methods for linear systems (65F10)

Related Items (1)

A C⁰ Interior Penalty Discontinuous Galerkin Method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p-biharmonic type

Cites Work

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• An iterative solver for a mixed variable variational formulation of the (first) biharmonic problem
• A class of preconditioned conjugate gradient methods for the solution of a mixed finite element discretization of the biharmonic operator
• On nonconforming an mixed finite element methods for plate bending problems. The linear case
• A mixed method for 4th order problems using linear finite elements

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