Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method

DOI10.1016/j.matcom.2008.08.002zbMath1161.65340OpenAlexW2085096769MaRDI QIDQ1013132

J. Martínez

Publication date: 17 April 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.08.002

zbMATH Keywords

numerical resultsfinite elementsinverse problemsTikhonov regularizationprimal discontinuous Galerkin method

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (4)

Double Hopf bifurcation of composite laminated piezoelectric plate subjected to external and internal excitations ⋮ Finite volume method for solving a one-dimensional parabolic inverse problem ⋮ Multi-pulse chaotic dynamics of six-dimensional non-autonomous nonlinear system for a composite laminated piezoelectric rectangular plate ⋮ Fully discrete interior penalty discontinuous Galerkin methods for nonlinear parabolic equations

Cites Work

• Unnamed Item
• Quasi-Newton approach to nonnegative image restorations
• 1D inverse problem in diffusion based optical tomography using iteratively regularized Gauss--Newton algorithm
• Estimation techniques for distributed parameter systems
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• Optical tomography in medical imaging
• On convergence rates for the iteratively regularized Gauss-newton method
• Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
• A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
• Inverse problem in optical tomography and its numerical investigation by iteratively regularized methods
• Aspects of Total Variation RegularizedL¹Function Approximation

This page was built for publication: Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method