An optimal adaptive wavelet method for nonsymmetric and indefinite elliptic problems
From MaRDI portal
Publication:2475381
DOI10.1016/j.cam.2006.11.013zbMath1193.65199OpenAlexW1965286787MaRDI QIDQ2475381
Publication date: 11 March 2008
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.2006.11.013
waveletsadaptive methodsbest \(N\)-term approximationoptimal computational complexitystrongly elliptic operators
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60)
Related Items
Adaptive boundary element methods with convergence rates ⋮ Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation ⋮ An optimal adaptive wavelet method for first order system least squares ⋮ Adaptive wavelet methods for linear and nonlinear least-squares problems ⋮ Adaptive Wavelet BEM for Boundary Integral Equations: Theory and Numerical Experiments ⋮ Adaptive wavelet algorithms for elliptic PDE's on product domains ⋮ Space-time adaptive wavelet methods for parabolic evolution problems ⋮ The saturation assumption yields optimal convergence of two-level adaptive BEM
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computation of singular integral operators in wavelet coordinates
- Adaptive frame methods for elliptic operator equations
- The wavelet element method. I: Construction and analysis
- Regularity results for elliptic equations in Lipschitz domains
- Wavelet adaptive method for second order elliptic problems: Boundary conditions and domain decomposition
- Besov regularity for elliptic boundary value problems in polygonal domains
- Adaptive wavelet methods. II: Beyond the elliptic case
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- Biorthogonal wavelet bases for the boundary element method
- Computation of differential operators in wavelet coordinates
- Wavelets with patchwise cancellation properties
- Adaptive methods for boundary integral equations: complexity and convergence estimates
- Strong ellipticity of boundary integral operators.
- A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Composite wavelet bases for operator equations
- Besov regularity for elliptic boundary value problems
- Adaptive Solution of Operator Equations Using Wavelet Frames
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- On the Compressibility of Operators in Wavelet Coordinates
- Wavelets on Manifolds I: Construction and Domain Decomposition
- An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains
- Adaptive frame methods for elliptic operator equations: the steepest descent approach
- Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
