Adaptive wavelet frame domain decomposition methods for nonlinear elliptic equations
DOI10.1002/num.21713zbMath1278.65190OpenAlexW2171461050MaRDI QIDQ4903221
Publication date: 21 January 2013
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21713
algorithmconvergencewavelet framesoverlapping domain decompositionnonlinear approximationadditive Schwarz methodnonlinear elliptic boundary value problemLaplacian plus nonlinear termRichardson-based iteration
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for wavelets (65T60) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items (2)
Cites Work
- An introduction to nonlinear functional analysis and elliptic problems
- Semilinear elliptic equations for beginners. Existence results via the variational approach
- Stable multiscale bases and local error estimation for elliptic problems
- Adaptive frame methods for elliptic operator equations
- Wavelets with complementary boundary conditions -- functions spaces on the cube
- Biorthogonal spline wavelets on the interval -- stability and moment conditions
- On the nonlinear domain decomposition method
- Besov regularity for elliptic boundary value problems in polygonal domains
- On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs
- Adaptive wavelet methods for elliptic operator equations with nonlinear terms
- Additive Schwarz method for mortar discretization of elliptic problems with \(P_{1}\) nonconforming finite elements
- A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems
- On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems
- Computation of differential operators in aggregated wavelet frame coordinates
- Ten Lectures on Wavelets
- Iterative Methods by Space Decomposition and Subspace Correction
- Sparse Evaluation of Compositions of Functions Using Multiscale Expansions
- Adaptive Solution of Operator Equations Using Wavelet Frames
- Adaptive Wavelet Schemes for Nonlinear Variational Problems
- On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- MONOTONE-SCHWARZ PARALLEL ALGORITHM FOR NONLINEAR ELLIPTIC EQUATIONS∗
- Adaptive frame methods for nonlinear elliptic problems
- An introduction to frames and Riesz bases
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Adaptive wavelet frame domain decomposition methods for nonlinear elliptic equations
