Surface wavelets: a multiresolution signal processing tool for 3D computational modelling

DOI10.1002/nme.238zbMath0988.65102OpenAlexW2105242000MaRDI QIDQ2761941

Julio E. Castrillón-Candás, Kevin Amaratunga

Publication date: 22 July 2002

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.238

zbMATH Keywords

stabilityconvergencegeometric objectsfinite element methodscomputer graphicsLaplace equationboundary element methodsmultiresolutionsignal processingsurface wavelets

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) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Wavelets and the numerical solution of partial differential equations
• Fast wavelet transforms and numerical algorithms I
• Orthonormal bases of compactly supported wavelets
• Preconditioned, Adaptive, Multipole-Accelerated Iterative Methods for Three-Dimensional First-Kind Integral Equations of Potential Theory
• Introduction to wavelets in engineering
• Wavelet–Galerkin solutions for one‐dimensional partial differential equations
• Multiwavelets for Second-Kind Integral Equations
• A fast algorithm for particle simulations