Triangular wavelet based finite elements via multivalued scaling equations

DOI10.1016/S0045-7825(96)01209-1zbMath0886.65110OpenAlexW2130181574MaRDI QIDQ1376619

Michael S. Pilant, Andrew J. Kurdila, Jeonghwan Ko

Publication date: 21 January 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01209-1

zbMATH Keywords

scaling functionstriangular finite elementstensor-product wavelet elements

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

Imposing boundary and interface conditions in multi-resolution wavelet Galerkin method for numerical solution of Helmholtz problems ⋮ A second generation wavelet based finite elements on triangulations ⋮ Multiscale modeling of beam and plates using customized second-generation wavelets ⋮ New Rothe-wavelet method for solving telegraph equations ⋮ A dynamic multiscale lifting computation method using Daubechies wavelet

Cites Work

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• Multilevel preconditioning
• Multiresolution analyses based on fractal functions
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Fractal functions and wavelet expansions based on several scaling functions
• On the robustness of the damped \(V\)-cycle of the wavelet frequency decomposition multigrid method
• A wavelet approach to robust multilevel solvers for anisotropic elliptic problems
• A class of finite element methods based on orthonormal, compactly supported wavelets
• Wavelet and finite element solutions for the Neumann problem using fictitious domains
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• Compression of Wavelet Decompositions
• Using the Refinement Equation for Evaluating Integrals of Wavelets
• Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
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