Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations
This paper makes a first attempt to use a new localized method of fundamental solutions
(LMFS) to accurately and stably solve the inverse Cauchy problems of two-dimensional …
(LMFS) to accurately and stably solve the inverse Cauchy problems of two-dimensional …
[图书][B] Regularization theory for ill-posed problems: selected topics
S Lu, SV Pereverzev - 2013 - books.google.com
This monograph is a valuable contribution to the highly topical and extremly productive field
of regularisation methods for inverse and ill-posed problems. The author is an internationally …
of regularisation methods for inverse and ill-posed problems. The author is an internationally …
Radial basis function neural network (RBFNN) approximation of Cauchy inverse problems of the Laplace equation
F Mostajeran, SM Hosseini - Computers & Mathematics with Applications, 2023 - Elsevier
In this study, we introduce a radial basis function neural network (RBFNN) algorithm. The
proposed architecture is employed to solve the inverse Cauchy problems of the Laplace …
proposed architecture is employed to solve the inverse Cauchy problems of the Laplace …
[PDF][PDF] REGULARIZED AND PRECONDITIONED CONJUGATE GRADIENT LIKE-METHODS METHODS FOR POLYNOMIAL APPROXIMATION OF AN INVERSE …
In this paper, regularization combined with a preconditioning strategy is used to solve the
illconditioned linear system obtained from the approximation of the inverse Cauchy problem …
illconditioned linear system obtained from the approximation of the inverse Cauchy problem …
Some novel numerical techniques for an inverse Cauchy problem
In this paper, we are interested in solving an elliptic inverse Cauchy problem. As it is well
known this problem is one of highly ill posed problem in Hadamard's sense (Hadamard …
known this problem is one of highly ill posed problem in Hadamard's sense (Hadamard …
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. Part I: Elliptic equations
E Burman - SIAM Journal on Scientific Computing, 2013 - SIAM
In this paper we propose a new method to stabilize nonsymmetric indefinite problems. The
idea is to solve a forward and an adjoint problem simultaneously using a suitable stabilized …
idea is to solve a forward and an adjoint problem simultaneously using a suitable stabilized …
Localized MFS for three‐dimensional acoustic inverse problems on complicated domains
Z Chen, F Wang, S Cheng, G Wu - International Journal of …, 2022 - Wiley Online Library
This paper proposes a semi‐analytical and local meshless collocation method, the localized
method of fundamental solutions (LMFS), to address three‐dimensional (3D) acoustic …
method of fundamental solutions (LMFS), to address three‐dimensional (3D) acoustic …
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 …
[PDF][PDF] An alternating procedure with dynamic relaxation for Cauchy problems governed by the modified Helmholtz equation
In this paper, two relaxation algorithms on the Dirichlet Neumann boundary condition, for
solving the Cauchy problem governed to the Modified Helmholtz equation are presented …
solving the Cauchy problem governed to the Modified Helmholtz equation are presented …
On numerical approaches for solving an inverse cauchy stokes problem
H Ouaissa, A Chakib, A Nachaoui… - Applied Mathematics & …, 2022 - Springer
In this paper, we are interested in the study of an inverse Cauchy problem governed by
Stokes equation. It consists in determining the fluid velocity and the flux over a part of the …
Stokes equation. It consists in determining the fluid velocity and the flux over a part of the …