A mixed finite element method for the biharmonic problem using biorthogonal or quasi-biorthogonal systems

DOI10.1007/s10915-010-9409-7zbMath1270.65068OpenAlexW2051626335WikidataQ59889866 ScholiaQ59889866MaRDI QIDQ361543

Bishnu P. Lamichhane

Publication date: 29 August 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1885/64194

zbMATH Keywords

mixed finite elementsbiharmonic problembiorthogonal or quasi-biorthogonal system

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Sinc-Galerkin method for solving biharmonic problems ⋮ Improved L² and H¹ error estimates for the Hessian discretization method ⋮ A new three-field formulation of the biharmonic problem and its finite element discretization ⋮ On an analogy between two plane problems of mechanics in a ring ⋮ A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems ⋮ \(hp\)-FEM for a stabilized three-field formulation of the biharmonic problem ⋮ Mixed finite element methods for the Poisson equation using biorthogonal and quasi-biorthogonal systems ⋮ Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models ⋮ A finite element method for the buckling problem of simply supported Kirchhoff plates

Cites Work

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• \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
• The many proofs of an identity on the norm of oblique projections
• Dual iterative techniques for solving a finite element approximation of the biharmonic equation
• An iterative solver for a mixed variable variational formulation of the (first) biharmonic problem
• Full-order convergence of a mixed finite element method for fourth-order elliptic equations
• A black-box multigrid preconditioner for the biharmonic equation
• Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
• Higher order mortar finite element methods in 3D with dual Lagrange multiplier bases
• Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions
• Biorthogonal bases with local support and approximation properties
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Finite Element Methods for Navier-Stokes Equations
• A Mixed Finite Element Method for the Biharmonic Equation
• Analysis of Mixed Methods Using Mesh Dependent Norms
• Mixed and Hybrid Finite Element Methods
• A mixed method for 4th order problems using linear finite elements
• Approximation of the Biharmonic Equation by a Mixed Finite Element Method
• An Unconstrained Mixed Method for the Biharmonic Problem
• A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D
• A discontinuous Galerkin method for the Cahn-Hilliard equation
• Discretization methods and iterative solvers based on domain decomposition

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