A unified quadrature-based superconvergent finite element formulation for eigenvalue computation of wave equations

DOI10.1007/s00466-016-1334-7zbMath1398.74418OpenAlexW2547684889WikidataQ113327483 ScholiaQ113327483MaRDI QIDQ683669

Feixu Pan, Dongdong Wang, Xiwei Li

Publication date: 8 February 2018

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-016-1334-7

zbMATH Keywords

eigenvaluewave equationsuperconvergence\(\alpha \) mass matrixhigher order mass matrixLobatto elementsuperconvergent quadrature rule

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Superconvergent isogeometric analysis of natural frequencies for elastic continua with quadratic splines ⋮ A quadrature-based superconvergent isogeometric frequency analysis with macro-integration cells and quadratic splines ⋮ Global-element-based free element method for solving non-linear and inhomogeneous heat conduction problems

Uses Software

• FEAPpv

Cites Work

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