Recovery of the temperature and the heat flux by a novel meshless method from the measured noisy data
From MaRDI portal
Publication:1654776
DOI10.1016/j.enganabound.2015.05.004zbMath1403.80041OpenAlexW571398722MaRDI QIDQ1654776
Publication date: 9 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2015.05.004
regularizationLaplace equationMorozov discrepancy principleinvariant method of fundamental solutions
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Cites Work
- Unnamed Item
- Unnamed Item
- The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions
- Infinite domain potential problems by a new formulation of singular boundary method
- Study on connections of the MFS, Trefftz method, indirect BIEM and invariant MFS in the three-dimensional Laplace problems containing spherical boundaries
- A potential function method for the Cauchy problem of elliptic operators
- An integral equations method combined minimum norm solution for 3D elastostatics Cauchy problem
- On the ill-conditioning of the MFS for irregular boundary data with sufficient regularity
- Formulation of the MFS for the two-dimensional Laplace equation with an added constant and constraint
- A novel numerical method for infinite domain potential problems
- Degenerate scale for multiply connected Laplace problems
- The method of fundamental solutions for elliptic boundary value problems
- Crack analysis using an enriched MFS domain decomposition technique
- Analytical study and numerical experiments for Laplace equation with overspecified boundary conditions
- Linkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the BEM/BIEMs
- Multi-parameter Tikhonov regularization and model function approach to the damped Morozov principle for choosing regularization parameters
- Analytical derivation and numerical experiments of degenerate scales for regular \(N\)-gon domains in two-dimensional Laplace problems
- Adaptive refinement scheme for the least-squares approach of the method of fundamental solution for three-dimensional harmonic problems
- A fundamental solution method for inverse heat conduction problem
- The harmonic polynomial method for solving the Cauchy problem connected with the Laplace equation
- Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel
- A survey of applications of the MFS to inverse problems
- Potential Problems by Singular Boundary Method Satisfying Moment Condition
- Appropriate implementation of an invariant MFS for inverse boundary determination problem
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
- Multipole fast algorithm for the least-squares approach of the method of fundamental solutions for three-dimensional harmonic problems
- Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
- The method of functional equations for the approximate solution of certain boundary value problems
- Degenerate scale problem when solving Laplace's equation by BEM and its treatment
- An introduction to the mathematical theory of inverse problems
This page was built for publication: Recovery of the temperature and the heat flux by a novel meshless method from the measured noisy data