Embedding anda prioriwavelet-adaptivity for Dirichlet problems
DOI10.1051/m2an:2000123zbMath0985.65149OpenAlexW2168966464MaRDI QIDQ2707091
Publication date: 4 July 2001
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/197525
Dirichlet problemGalerkin methoderror estimatesnumerical experimentsadaptivityfictitious domain methodcompactly supported waveletsdomain embedding method
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Cites Work
- Stable multiscale bases and local error estimation for elliptic problems
- An adaptive wavelet-vaguelette algorithm for the solution of PDEs
- Bases d'ondelettes dans des ouverts de \({\mathbb{R}}^ n\). (Wavelet bases in open sets of \({\mathbb{R}}^ n)\)
- The wavelet element method. I: Construction and analysis
- An adaptive spline wavelet ADI(SW-ADI) method for two-dimensional reaction-diffusion equations
- Stability of multiscale transformations
- A Lagrange multiplier/fictitious domain method for the Dirichlet problem -- generalization to some flow problems
- Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
- A fictitious domain method for Dirichlet problem and applications
- Adaptive Wavelet Schemes for Elliptic Problems---Implementation and Numerical Experiments
- Fast wavelet transforms and numerical algorithms I
- Orthonormal bases of compactly supported wavelets
- Ten Lectures on Wavelets
- Wavelet Methods for Fast Resolution of Elliptic Problems
- Biorthogonal bases of compactly supported wavelets
- A domain embedding method for Dirichlet problems in arbitrary space dimension
- Composite wavelet bases for operator equations
- Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions
- Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item