| Título: | Recovering boundary data in planar heat conduction using a boundary integral equation method |
| Autores: |
Roman Chapko Tomas Johansson Vasyl Vavrychuk |
| Fecha: | 2011-01-18 |
| Publicador: | Electronic journal of boundary elements |
| Fuente: |
 |
| Tipo: | |
| Tema: |
Mathematics Boundary Integral Equations, Cuchy Problem, Heat Equation |
| Descripción: | We consider a Cauchy problem for the heat equation, where the temperature field is to be reconstructed from the temperature and heat flux given on a part of the boundary of the solution domain. We employ a Landweber type method proposed in ~\cite{Bast}, where a sequence of mixed well-posed problems are solved at each iteration step to obtain a stable approximation to the original Cauchy problem. We develop an efficient boundary integral equation method for the numerical solution of these mixed problems, based on the method of Rothe. Numerical experiments are presented both with exact and noisy data, showing the efficiency and stability of the proposed procedure and approximations. |
| Idioma: | Inglés |
1 Algebraic preconditioners for the Fast Multipole Method in electromagnetic scattering analysis from large structures: trends and problems por Bruno Carpentieri; Rutgers University Libraries | 6 Hybrid Green's functions for multiple cracks: Numerical extension of single crack analytical Green's functions to multiple cracks por M. Denda; Rutgers University |
2 An iterative method based on boundary integrals for elliptic Cauchy problems in semi-infinite domains por R. Chapko; Rutgers University Libraries,B.T. Johansson | 7 Green's Function Method for an Axisymmetric Void Between Parallel Walls por Gautam Sudhir Chandekar; Tennessee Technological University,Joseph D. Richardson; Tennessee Technological University,Yuri A. Melnikov; Middle Tennessee State University,Sally J. Pardue; Tennessee Technological University |
3 Hypersingular formulation for boundary stress evaluation revisited. Part 2: Corners. por Alberto Salvadori; University of Brescia | 8 A BEM for the Propagation of Nonlinear Planar Free-surface Waves por V. Vinayan; University of Texas at Austin,S. A. Kinnas; University of Texas at Austin |
4 Hypersingular formulation for boundary stress evaluation revisited. Part 1: Smooth boundaries. por Alberto Salvadori; University of Brescia | 9 A Hypersingular Boundary Integral Equation for a Class of Problems Concerning Infiltration from Periodic Channels por David L Clements; The University of Adelaide,Maria Lobo; The University of Adelaide,Nyoman Widana; Universitas Udayana, Bali |
5 Numerical modelling of the blowing phase in the production of glass containers por Willem Dijkstra; Eindhoven University of Technology,Bob Mattheij | 10 Direct evaluation of hypersingular Galerkin surface integrals II por Leonard J. Gray; Oak Ridge National Laboratory,Alberto Salvadori; University of Brescia,Anh-Vu Phan; University of South Alabama,Vladislav Mantic; University of Sevilla |