Adaptive wavelet methods for linear and nonlinear least-squares problems

DOI10.1007/s10208-013-9184-6zbMath1303.65043OpenAlexW2003276066MaRDI QIDQ404276

Rob P. Stevenson

Publication date: 4 September 2014

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-013-9184-6

zbMATH Keywords

numerical exampleGalerkin methodHilbert spacenonlinear operator equationleast squares problemfirst-order least squares systemoptimal convergence rateadaptive wavelet Galerkin methodoptimal computational cost

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (6)

An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality ⋮ An optimal adaptive wavelet method for first order system least squares ⋮ Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver ⋮ Computation and learning in high dimensions. Abstracts from the workshop held August 1--7, 2021 (hybrid meeting) ⋮ An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems ⋮ Fractional Space-Time Variational Formulations of (Navier--) Stokes Equations

Uses Software

• NewtonLib

Cites Work

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