An iterative method for the Cauchy problem in linear elasticity with fading regularization effect
From MaRDI portal
Publication:643907
DOI10.1016/j.cma.2010.07.004zbMath1225.74084OpenAlexW2038645851MaRDI QIDQ643907
Jean-Luc Hanus, Patrice Bailly, Franck Delvare, Alain Cimetiere
Publication date: 2 November 2011
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2010.07.004
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (10)
A meshless method for the Cauchy problem in linear elastodynamics ⋮ Numerical solution of the inverse Cauchy problem for the elliptic equation ⋮ Unique discrete harmonic continuation and data completion problems using the fading regularization method ⋮ BEM-fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction ⋮ Fading regularization MFS algorithm for the Cauchy problem in anisotropic heat conduction ⋮ An integral equations method combined minimum norm solution for 3D elastostatics Cauchy problem ⋮ Boundary element methods for boundary condition inverse problems in elasticity using PCGM and CGM regularization ⋮ An invariant method of fundamental solutions for the Cauchy problem in two-dimensional isotropic linear elasticity ⋮ On numerical resolution of an inverse Cauchy problem modeling the airflow in the bronchial tree ⋮ A meshless fading regularization algorithm for solving the Cauchy problem for the three-dimensional Helmholtz equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An optimization approach for the Cauchy problem in linear elasticity
- The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
- An iterative method for solving the Cauchy problem for elliptic equations
- An iterative boundary element method for Cauchy inverse problems
- A meshless method for solving the Cauchy problem in three-dimensional elastostatics
- An energy error-based method for the resolution of the Cauchy problem in 3D linear elasticity
- A first order method for the Cauchy problem for the Laplace equation using BEM
- BEM first-order regularisation method in linear elasticity for boundary identification.
- Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition
- The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity
- Relaxation procedures for an iterative algorithm for solving the Cauchy problem for the Laplace equation
- Fracture mechanics. Inverse problems and solutions.
- Solution of the Cauchy problem using iterated Tikhonov regularization
- Conjugate Gradient-Boundary Element Method for the Cauchy Problem in Elasticity
- Finite element solution of two-dimensional inverse elastic problems using spatial smoothing
- Solving Cauchy problems by minimizing an energy-like functional
- A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- An Inverse Problem in Elasticity With Partially Overprescribed Boundary Conditions, Part I: Theoretical Approach
- Une méthode inverse à régularisation évanescente
- Inverse problems in elasticity
- Spatially regularized solution of inverse elasticity problems using the BEM
- Regularized boundary element solution for an inverse boundary value problem in linear elasticity
- A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
- Boundary element method for the Cauchy problem in linear elasticity.
This page was built for publication: An iterative method for the Cauchy problem in linear elasticity with fading regularization effect