An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid

DOI10.1137/070689607zbMath1177.65157OpenAlexW2049309186MaRDI QIDQ3648603

Nicholas K.-R. Kevlahan, Mani Mehra

Publication date: 27 November 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070689607

zbMATH Keywords

numerical methodlifting schememultigrid methodpartial differential equationssecond generation waveletsadaptive gridoptimal spherical geodesic grid

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (10)

Integration of barotropic vorticity equation over spherical geodesic grid using multilevel adaptive wavelet collocation method ⋮ Wavelet based solutions to the Poisson and the Helmholtz equations on the \(n\)-dimensional unit sphere ⋮ A sequential, implicit, wavelet-based solver for multi-scale time-dependent partial differential equations ⋮ Review of solution methodologies for structural analysis of composites ⋮ Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelets ⋮ Numerical multi-scaling method to solve the linear stochastic partial differential equations ⋮ A Matlab suite for second generation wavelets on an interval and the corresponding adaptive grid ⋮ An adaptive spectral graph wavelet method for PDEs on networks ⋮ An Adaptive Wavelet Collocation Method for Solution of the Convection-Dominated Problem on a Sphere ⋮ Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid

This page was built for publication: An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid