Analysis of expanded mixed methods for fourth-order elliptic problems

DOI<483::AID-NUM3>3.0.CO;2-F 10.1002/(SICI)1098-2426(199709)13:5<483::AID-NUM3>3.0.CO;2-FzbMath0882.65097OpenAlexW2073684839MaRDI QIDQ4354656

Zhang-Xin Chen

Publication date: 12 March 1998

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199709)13:5<483::aid-num3>3.0.co;2-f

zbMATH Keywords

error estimatesnumerical examplesmixed finite elementsfourth-order elliptic problemsexpanded mixed methods

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• On drilling degrees of freedom
• BDM mixed methods for a nonlinear elliptic problem
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• On existence of solution of the Dirichlet problem of fourth order partial differential equations with variable coefficients
• A new mixed finite element method for the Timoshenko beam problem
• Analysis of mixed methods using conforming and nonconforming finite element methods
• A computationally efficient modification of mixed finite element methods for flow problems with full transmissivity tensors
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences