Solution of Cauchy problem to stationary heat conduction equation by modified method of elementary balances with interpolation of the solution in physical plane
DOI10.1080/17415971003606469zbMath1190.65144OpenAlexW2114382436MaRDI QIDQ3565077
A. Wróblewska, Andrzej Frąckowiak, Jan Adam Kołodziej, Michał J. Ciałkowski
Publication date: 27 May 2010
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415971003606469
numerical exampleinverse problemfinite element methodfinite difference methodCauchy problemLaplace equationcontrol volume methodstationary heat conduction equationmethod of elementary balancessingular value decomposition algorithm
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- The dual reciprocity boundary element method for solving Cauchy problems associated to the Poisson equation
- The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation
- The method of fundamental solutions for elliptic boundary value problems
- Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
- Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
- Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation
- Numerical solution of a Cauchy problem for the Laplace equation
- The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media
- A radial basis meshless method for solving inverse boundary value problems
- A comparison of boundary element method formulations for steady state anisotropic heat conduction problems
This page was built for publication: Solution of Cauchy problem to stationary heat conduction equation by modified method of elementary balances with interpolation of the solution in physical plane