A study of multiscale wavelet-based elements for adaptive finite element analysis

DOI10.1016/j.advengsoft.2009.09.008zbMath1182.65169OpenAlexW2094487012MaRDI QIDQ2654478

Bing Li, Xuefeng Chen, Zhengjia He, Jia-wei Xiang

Publication date: 19 January 2010

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2009.09.008

zbMATH Keywords

convergencenumerical resultsadaptive finite element methodsPoisson equationB-spline waveletmultiscale wavelet-based elements

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

Contact interaction of two rectangular plates made from different materials with an account of physical nonlinearity ⋮ Band structures analysis of fluid–solid phononic crystals using wavelet‐based boundary element method and frequency‐independent fundamental solutions ⋮ Introducing higher-order Haar wavelet method for solving three-dimensional partial differential equations ⋮ Solving PDEs with the aid of two-dimensional Haar wavelets ⋮ Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions ⋮ Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions ⋮ A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type ⋮ An efficient numerical algorithm for multi-dimensional time dependent partial differential equations ⋮ Treatment of Dirichlet-type boundary conditions in the spline-based wavelet Galerkin method employing multiple point constraints ⋮ Approximation of functions of Lipschitz class and solution of Fokker-Planck equation by two-dimensional Legendre wavelet operational matrix ⋮ ADAPTIVE MULTIPLE KNOT B-SPLINE WAVELETS FOR SOLVING SAINT-VENANT EQUATIONS

Uses Software

• ANSYS

Cites Work

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