Generalization of the Pythagorean eigenvalue error theorem and its application to isogeometric analysis

DOI10.1007/978-3-319-94676-4_6zbMath1416.65423OpenAlexW2896111231MaRDI QIDQ2419368

Victor Manuel Calo, Michael Bartoň, Quanling Deng, Vladimir Evgenievich Puzyrev

Publication date: 13 June 2019

Full work available at URL: http://hdl.handle.net/20.500.11824/871

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) Numerical quadrature and cubature formulas (65D32) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

SoftIGA: soft isogeometric analysis ⋮ A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes ⋮ Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis ⋮ Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D

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