On the Simplified Hybrid-Combined Method
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Publication:3327670
DOI10.2307/2007763zbMath0541.65070OpenAlexW4252446758MaRDI QIDQ3327670
Publication date: 1983
Full work available at URL: https://doi.org/10.2307/2007763
numerical examplefinite element methodsingularitiesunbounded domainsoptimal error estimatesRitz-Galerkin methoddifference methodshybrid-combined method
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems ⋮ Hybrid and collocation Trefftz methods for traction boundary conditions in linear elastostatics ⋮ Penalty-combined method and applications in solving elliptic problems with singularities ⋮ The simplified hybrid-combined methods for Laplace's equation with singularities ⋮ Singularities and treatments of elliptic boundary value problems. ⋮ Global superconvergence of simplified hybrid combinations of the Ritz--Galerkin and FEMs for elliptic equations with singularities. II: Lagrange elements and Adini's elements ⋮ A nonconforming combined method for solving Laplace's boundary value problems with singularities
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