Adaptive piecewise tensor product wavelets scheme for Laplace-interface problems
DOI10.1016/j.cam.2017.12.021zbMath1382.65436OpenAlexW2782245980MaRDI QIDQ1696432
Rob P. Stevenson, N. G. Chegini
Publication date: 14 February 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.12.021
computational complexitydomain decompositionnumerical experimentsboundary value problemLaplace equationinterface problemwavelet Galerkin methoddiscontinuous diffusion coefficienttensor product approximationextension operatorsadaptive wavelet schemebest approximation rates
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Complexity and performance of numerical algorithms (65Y20)
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Cites Work
- New stable biorthogonal spline-wavelets on the interval
- Biorthogonal spline wavelets on the interval -- stability and moment conditions
- Locally supported, piecewise polynomial biorthogonal wavelets on nonuniform meshes
- ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA
- Sparse Tensor Product Wavelet Approximation of Singular Functions
- The adaptive tensor product wavelet scheme: sparse matrices and the application to singularly perturbed problems
- An optimal adaptive wavelet method without coarsening of the iterands
- Adaptive wavelet methods for solving operator equations: An overview
- On the poisson equation with intersecting interfaces
- Composite wavelet bases for operator equations
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- Intertwining Multiresolution Analyses and the Construction of Piecewise-Polynomial Wavelets
- Weighted Poincare inequalities
- Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions
- Wavelets on Manifolds I: Construction and Domain Decomposition
- Piecewise tensor product wavelet bases by extensions and approximation rates
- Wavelets on manifolds: An optimized construction
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