An integral equations method combined minimum norm solution for 3D elastostatics Cauchy problem
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Publication:460819
DOI10.1016/j.cma.2013.12.013zbMath1296.35187OpenAlexW2020286362MaRDI QIDQ460819
Yao Sun, Deyue Zhang, Fuming Ma
Publication date: 9 October 2014
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.2013.12.013
Numerical methods for integral equations (65R20) Classical linear elasticity (74B05) Ill-posed problems for PDEs (35R25) Numerical methods for inverse problems for integral equations (65R32) PDEs in connection with mechanics of deformable solids (35Q74)
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Appropriate implementation of an invariant MFS for inverse boundary determination problem ⋮ Recovery of the temperature and the heat flux by a novel meshless method from the measured noisy data ⋮ An invariant method of fundamental solutions for the Cauchy problem in two-dimensional isotropic linear elasticity ⋮ Numerical solutions of 3D Cauchy problems of elliptic operators in cylindrical domain using local weak equations and radial basis functions ⋮ The reciprocity gap functional method for the inverse scattering problem for cavities ⋮ Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane
Cites Work
- Unnamed Item
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- An optimization approach for the Cauchy problem in linear elasticity
- Boundary element analysis of the thermal behaviour in thin-coated cutting tools
- The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
- Relaxation procedures for an iterative MFS algorithm for the stable reconstruction of elastic fields from Cauchy data in two-dimensional isotropic linear elasticity
- A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity
- An iterative method for the Cauchy problem in linear elasticity with fading regularization effect
- An iterative boundary element algorithm for a singular Cauchy problem in linear elasticity
- An energy error-based method for the resolution of the Cauchy problem in 3D linear elasticity
- A numerical study on the solution of the Cauchy problem in elasticity
- Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition
- Boundary integral equations in elasticity theory
- Internal stress analysis for single and multilayered coating systems using the boundary element method
- An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity
- The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity
- Investigation on near-boundary solutions by singular boundary method
- Density results using Stokeslets and a method of fundamental solutions for the Stokes equations
- Boundary Layer Effect in BEM with High Order Geometry Elements Using Transformation
- Conjugate Gradient-Boundary Element Method for the Cauchy Problem in Elasticity
- Uniqueness in the Cauchy Problem for Partial Differential Equations
- Finite element solution of two-dimensional inverse elastic problems using spatial smoothing
- The stability for the Cauchy problem for elliptic equations
- Fundamental Solutions Method for Elliptic Boundary Value Problems
- An Inverse Problem in Elasticity With Partially Overprescribed Boundary Conditions, Part I: Theoretical Approach
- Investigation of regularization parameters and error estimating in inverse elasticity problems
- An inverse method for finding unknown surface tractions and deformations in elastostatics
- Spatially regularized solution of inverse elasticity problems using the BEM
- Regularized boundary element solution for an inverse boundary value problem in linear elasticity
- Elastic Scatterer Reconstruction via the Adjoint Sampling Method
- Boundary element-Landweber method for the Cauchy problem in linear elasticity
- Linear integral equations
- Inverse problems for partial differential equations
- An introduction to the mathematical theory of inverse problems
- An effective algorithm for reconstructing boundary conditions in elastic solids
- Boundary element method for the Cauchy problem in linear elasticity.
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