[图书][B] Recent advances in radial basis function collocation methods
Function approximation and interpolation play an essential role in most fields of
computational sciences and engineering, such as data processing and numerical solution of …
computational sciences and engineering, such as data processing and numerical solution of …
[HTML][HTML] Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
L Marin - International Journal of Solids and Structures, 2005 - Elsevier
The application of the method of fundamental solutions to the Cauchy problem for steady-
state heat conduction in two-dimensional functionally graded materials (FGMs) is …
state heat conduction in two-dimensional functionally graded materials (FGMs) is …
On Cauchy's problem: I. A variational Steklov–Poincaré theory
FB Belgacem, H El Fekih - Inverse problems, 2005 - iopscience.iop.org
Abstract In 1923 (Lectures on Cauchy's Problem in Linear PDEs (New York, 1953)), J
Hadamard considered a particular example to illustrate the ill-posedness of the Cauchy …
Hadamard considered a particular example to illustrate the ill-posedness of the Cauchy …
[HTML][HTML] Calculation of the heat flux near the liquid–gas–solid contact line
AL Karchevsky, IV Marchuk, OA Kabov - Applied Mathematical Modelling, 2016 - Elsevier
The study deals with the heat and mass transfer process near the dynamic three-phase
liquid–gas–solid contact line. The evaporating sessile water droplets on a horizontal heated …
liquid–gas–solid contact line. The evaporating sessile water droplets on a horizontal heated …
A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
CS Liu - Engineering Analysis with Boundary Elements, 2008 - Elsevier
We consider an inverse problem for Laplace equation by recovering the boundary value on
an inaccessible part of a circle from an overdetermined data on an accessible part of that …
an inaccessible part of a circle from an overdetermined data on an accessible part of that …
On Cauchy's problem: II. Completion, regularization and approximation
M Azaïez, FB Belgacem, H El Fekih - Inverse problems, 2006 - iopscience.iop.org
Abstract In Ben Belgacem and El Fekih (2005 On Cauchy's problem: I. A variational Steklov–
Poincaré theory Inverse Problems 21 1915–36), a new variational theory is introduced for …
Poincaré theory Inverse Problems 21 1915–36), a new variational theory is introduced for …
Generalized finite difference method for solving two-dimensional inverse Cauchy problems
In this paper, a meshless numerical scheme is adopted for solving two-dimensional inverse
Cauchy problems which are governed by second-order linear partial differential equations …
Cauchy problems which are governed by second-order linear partial differential equations …
Application of the generalized finite-difference method to inverse biharmonic boundary-value problems
In this article, the generalized finite-difference method (GFDM), one kind of domain-type
meshless method, is adopted for analyzing inverse biharmonic boundary-value problems. In …
meshless method, is adopted for analyzing inverse biharmonic boundary-value problems. In …
Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method
CS Liu, SN Atluri - Engineering Analysis with Boundary Elements, 2013 - Elsevier
In this paper, the inverse Cauchy problem for Laplace equation defined in an arbitrary plane
domain is investigated by using the collocation Trefftz method (CTM) with a better …
domain is investigated by using the collocation Trefftz method (CTM) with a better …
[HTML][HTML] The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation
This paper investigates the applications of the method of fundamental solutions together
with the conditional number analysis to solve various inverse 2D Laplace problems …
with the conditional number analysis to solve various inverse 2D Laplace problems …