Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: a numerical study
From MaRDI portal
Publication:1737159
DOI10.1016/j.amc.2016.08.021zbMath1411.74063OpenAlexW2510733423MaRDI QIDQ1737159
Publication date: 27 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.08.021
linear elasticityregularizationinverse boundary value problemsingular value decomposition (SVD)method of fundamental solutions (MFS)
Related Items
A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography ⋮ Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory ⋮ On numerical resolution of an inverse Cauchy problem modeling the airflow in the bronchial tree ⋮ Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On choosing the location of the sources in the MFS
- Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions
- Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods
- Non-singular method of fundamental solutions for anisotropic elasticity
- The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
- A meshless method for solving the Cauchy problem in three-dimensional elastostatics
- A numerical study on the solution of the Cauchy problem in elasticity
- Fundamental solutions for the collocation method in planar elastostatics
- Elasticity problems with partially overspecified boundary conditions
- The method of fundamental solutions for elliptic boundary value problems
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- The method of fundamental solutions for scattering and radiation problems.
- Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition
- Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
- An analytical contour integration method for handling body forces in elasticity
- Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains
- Regularization tools version \(4.0\) for matlab \(7.3\)
- Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains
- A survey of applications of the MFS to inverse problems
- A comparison of the boundary element and superposition methods
- Finite element solution of two-dimensional inverse elastic problems using spatial smoothing
- An extension of the superposition method for plane anisotropic elastic bodies
- Fundamental solutions for the collocation method in three-dimensional elastostatics
- The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
- The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
- Investigation of regularization parameters and error estimating in inverse elasticity problems
- An inverse method for finding unknown surface tractions and deformations in elastostatics
- 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 numerical study of the SVD–MFS solution of inverse boundary value problems in two‐dimensional steady‐state linear thermoelasticity
- The Method of Fundamental Solutions in Solving Coupled Boundary Value Problems for M/EEG
- The method of functional equations for the approximate solution of certain boundary value problems
- An effective algorithm for reconstructing boundary conditions in elastic solids
- Trefftz method: An overview
