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An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares
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Published/Copyright:
August 27, 2015
Abstract
We design
an adaptive wavelet scheme for solving first-order system least-squares formulations of second-order elliptic PDEs that converge with the best possible rate in linear complexity.
A wavelet Riesz basis is constructed for the space
Keywords: Adaptive Wavelet Methods; Least Squares Formulations of Boundary Value Problems; Optimal Convergence Rates; Linear Complexity
Received: 2015-2-11
Revised: 2015-8-7
Accepted: 2015-8-10
Published Online: 2015-8-27
Published in Print: 2015-10-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Editorial
- On Preservation of Positivity in Some Finite Element Methods for the Heat Equation
- An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares
- A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method
- Survey of Existence Results in Nonlinear Peridynamics in Comparison with Local Elastodynamics
- An Algorithm for the Numerical Solution of Two-Sided Space-Fractional Partial Differential Equations
- Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error Control
- Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations
- Space-Time Finite Element Methods for Parabolic Problems
Keywords for this article
Adaptive Wavelet Methods;
Least Squares Formulations of Boundary Value Problems;
Optimal Convergence Rates;
Linear Complexity
Articles in the same Issue
- Frontmatter
- Editorial
- On Preservation of Positivity in Some Finite Element Methods for the Heat Equation
- An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares
- A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method
- Survey of Existence Results in Nonlinear Peridynamics in Comparison with Local Elastodynamics
- An Algorithm for the Numerical Solution of Two-Sided Space-Fractional Partial Differential Equations
- Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error Control
- Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations
- Space-Time Finite Element Methods for Parabolic Problems
