scientific article

DOI<137::AID-NUM4>3.0.CO;2-0 10.1002/1098-2426(200103)17:2<137::AID-NUM4>3.0.CO;2-0zbMath0979.65103MaRDI QIDQ2712971

Riccardo Sacco, Stefano Micheletti

Publication date: 12 February 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite elementsnumerical experimentssuperposition principlesecond-order elliptic problemserror boundsPoisson problemtrial functionsRaviart-Thomas elementspiecewise polynomialstest functionsdual-primal mixed formulationGalerkin mixed formulation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities ⋮ A novel primal-mixed finite element approach for heat transfer in solids ⋮ New mixed finite volume methods for second order eliptic problems ⋮ The discontinuous Petrov-Galerkin method for elliptic problems

Cites Work

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• Numerical simulation of semiconductor devices
• Finite Element Methods for Navier-Stokes Equations
• Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
• Existence, Uniqueness and Approximation for Generalized Saddle Point Problems
• Mixed and Hybrid Finite Element Methods
• Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Mixed finite volume methods for semiconductor device simulation
• Connection between finite volume and mixed finite element methods
• Stabilized mixed finite elements for fluid models in semiconductors

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