Results 11 to 20 of about 6,303,122 (262)

Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination [PDF]

open access: yesAbstract and Applied Analysis, 2013
A …finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied.
Charyyar Ashyralyyev, Mutlu Dedeturk
doaj   +5 more sources

Rigidity of inverse problems for nonlinear elliptic equations on manifolds [PDF]

open access: yesBulletin of the London Mathematical Society, 2023
AbstractWe consider the inverse problem of determining coefficients appearing in semilinear elliptic equations stated on Riemannian manifolds with boundary given the knowledge of the associated Dirichlet‐to‐Neumann map. We begin with a negative answer to this problem.
Feizmohammadi, Ali   +2 more
openaire   +6 more sources

Solvability of an Inverse Problem for an Elliptic-Type Equation [PDF]

open access: yesCumhuriyet Science Journal
In this study, we consider an inverse problem of determining an unknown source function in the right-hand side of an elliptic equation which is ill-posed in the Hadamard sense.
Mustafa Yıldız, Özlem Kaytmaz
doaj   +3 more sources

On an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation with Integral Condition

open access: yesAbstract and Applied Analysis, 2014
An inverse boundary value problem for a fourth order elliptic equation is investigated. At first the initial problem is reduced to the equivalent problem for which the existence and uniqueness theorem of the solution is proved. Further, using these facts,
Yashar T. Mehraliyev
doaj   +2 more sources

Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems [PDF]

open access: yesComputational Methods in Applied Mathematics, 2021
Abstract We present a perturbed subspace iteration algorithm to approximate the lowermost eigenvalue cluster of an elliptic eigenvalue problem. As a prototype, we consider the Laplace eigenvalue problem posed in a polygonal domain. The algorithm is motivated by the analysis of inexact (perturbed) inverse iteration algorithms in numerical
Stefano Giani   +3 more
openaire   +9 more sources

The Inverse Problem for Elliptic Equations from Dirichlet to Neumann Map in Multiply Connected Domains

open access: yesBoundary Value Problems, 2009
The present paper deals with the inverse problem for linear elliptic equations of second order from Dirichlet to Neumann map in multiply connected domains. Firstly the formulation and the complex form of the problem for the equations are given, and then
Xu Zuoliang, Yang Fengmin, Wen Guochun
doaj   +3 more sources

Kernel Methods for Bayesian Elliptic Inverse Problems on Manifolds [PDF]

open access: yesSIAM/ASA Journal on Uncertainty Quantification, 2020
This paper investigates the formulation and implementation of Bayesian inverse problems to learn input parameters of partial differential equations (PDEs) defined on manifolds. Specifically, we study the inverse problem of determining the diffusion coefficient of a second-order elliptic PDE on a closed manifold from noisy measurements of the solution ...
John Harlim   +2 more
openaire   +3 more sources

Hardware acceleration of number theoretic transform for zk‐SNARK

open access: yesEngineering Reports, EarlyView., 2023
An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao   +6 more
wiley   +1 more source

Sparse deterministic approximation of Bayesian inverse problems [PDF]

open access: yes, 2011
We present a parametric deterministic formulation of Bayesian inverse problems with an input parameter from infinite-dimensional, separable Banach spaces.
A M Stuart   +5 more
core   +1 more source

Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials [PDF]

open access: yes, 2011
We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights.
Roberta Musina   +7 more
core   +1 more source

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