Search Results - Numerical methods for inverse problems for boundary value problems involving PIEs

ON IMPROVING AN ERROR ESTIMATE FOR A NONLINEAR PROJECTIVE REGULARIZATION METHOD WHEN SOLVING AN INVERSE BOUNDARY VALUE PROBLEM by Tanana, V.P., Sidikova, A.I.

Get full text

ON MULTIGRID METHODS FOR SOLVING TWO-DIMENSIONAL BOUNDARY-VALUE PROBLEMS by Gurieva, Y.L, Il'in, V.P, Petukhov, A.V

Get full text

FINITE-ELEMENT METHODS FOR SOLVING INITIAL-BOUNDARY VALUE PROBLEMS by HOUSTIS, ELIAS NICHOLAOS

Get full text

METHOD FOR SOLVING MIXED BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC TYPE EQUATIONS BY USING LAGRANGE–STURM–LIOUVILLE OPERATORS by Trynin, A. Yu

Get full text

SCHEMES OF FINITE ELEMENT METHOD FOR SOLVING MULTIDIMENSIONAL BOUNDARY VALUE PROBLEMS by Batgerel, Balt, Vinitsky, Sergue I, Chuluunbaatar, Ochbadrakh, Busa, Jan, Jr, Blinkov, Yury A, Gusev, Alexander A, Deveikis, Algirdas, Chuluunbaatar, Galmandakh, Ulziibayar, Vandandoo

Get full text

On the Convergence of a Spline Method for Singular Two Point Boundary Value Problems Arising in Physiology by Pandey, R. K.

“…The second order spline method developed by Iyengar et al. [11] for the problems $$\eqalign{ x^{-\alpha}(x^\alpha y^\prime)^\prime & = f(x,y),\quad 0…”
Get full text

A numerical computation for inverse boundary value problems by using the adjoint method by Iijima, Kentaro, Shirota, Kenji, Onishi, Kazuei

Get full text

Numerical Method for the Inverse Boundary-Value Problem of the Heat Equation by Dmitriev, V. I., Stolyarov, L. V.

“…The article considers the inverse boundary-value problem of heat conduction which involves determining the time distribution of temperature on the boundary given the spatial distribution…”
Get full text

A Green's function numerical method for some inverse boundary value problems by Melnikov, Y A, Powell, Jeffrey O

“… Boundary elements, least squares optimization, and special boundary value properties of Green's functions are exploited in this numerical treatment…”
Get full text

Numerical studies of domain sampling methods for inverse boundary value problems by one measurement by Sun, Shiwei, Nakamura, Gen, Wang, Haibing

“…We consider an inverse boundary value problem for the Laplace equation, which discusses the reconstruction of an unknown target inside the background medium from one boundary measurement…”
Get full text

A Green's function numerical method for some inverse boundary value problems by Melnikov, Y. A., Powell, Jeffrey O.

“… Boundary elements, least squares optimization, and special boundary value properties of Green's functions are exploited in this numerical treatment…”
Get full text

Numerical methods for solving a boundary-value inverse heat conduction problem by Yaparova, Natalia

“…This paper considers the boundary-value inverse heat conduction problem with steady boundary…”
Get full text

Application of Numerical Methods for the Volterra Equations of the First Kind that Appear in an Inverse Boundary-Value Problem of Heat Conduction by S.V. Solodusha

“… and its characteristics are restored on the results of indirect measurements. In this case the only way to finding the required values is associated with the solution of the inverse…”
Get full text

A numerical solution of the linear multidimensional unsteady inverse heat conduction problem with the boundary element method and the singular value decomposition by Lagier, G.L., Lemonnier, H., Coutris, N.

“…In this paper, we present a new method for solving the general linear multidimensional unsteady inverse heat conduction problem…”
Get full text

Numerical Method for Solving an Inverse Problem for Laplace’s Equation in a Domain with an Unknown Inner Boundary by Gavrilov, S. V.

“… The uniqueness of the solution to this inverse problem is proved. An iterative numerical method for determining the unknown boundary is proposed…”
Get full text

Stably numerical solving inverse boundary value problem for data assimilation by Mu, Xiyu, Cheng, Hao, Xu, Qi, Liu, Guoqing

“… Needless to say, the inverse boundary value problem (IBVP) is ill-conditioned in general…”
Get full text

Numerical solution of an inverse conductive boundary value problem by Yaman, F.

“…In this paper, we derive a numerical solution of an inverse obstacle scattering problem with conductive boundary condition…”
Get full text

A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity by Marin, Liviu, Karageorghis, Andreas, Lesnic, Daniel

“… The stabilization of this inverse problem is achieved using several singular value decomposition (SVD)‐based regularization methods, such as the Tikhonov regularization method…”
Get full text

Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method by Shigeta, Takemi

“…The purpose of this study is to show some mathematical aspects of the adjoint method that is a numerical method for the Cauchy problem, an inverse boundary value problem…”
Get full text

Numerical solution for an inverse MRI problem using a regularised boundary element method: Electromagnetic Problems by MARIN, Liviu, POWER, Henry, BOWTELL, Richard W, COBOS SANCHEZ, Clemente, BECKER, Adib A, GLOVER, Paul, JONES, Arthur

Get full text