Results 221 to 230 of about 6,303,122 (262)
A Post-Quantum Public-Key Signcryption Scheme over Scalar Integers Based on a Modified LWE Structure. [PDF]
Sensors (Basel)Kara M, Hammoudeh M, Alamri A, Alamri S.
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Uncertainty Quantification and Weak Approximation of an Elliptic Inverse Problem [PDF]
SIAM Journal on Numerical Analysis, 2011 We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium. Mathematically the problem is to find the diffusion coefficient for a linear uniformly elliptic partial differential equation in divergence form, in a bounded domain in dimension $d \le 3$, from measurements of the solution in ...
Andrew M. Stuart, M Dashti
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Inverse Problems for Elliptic Equations With Fractional Power Type Nonlinearities
Journal of Differential Equations, 2022 We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain nonlinear equations in cases ...
Teemu Tyni, Mikko Salo, Yi-Hsuan Lin
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Uniqueness for an Elliptic Inverse Problem
SIAM Journal on Applied Mathematics, 1999For the elliptic equation $-\nabla\cdot(p(x)\nabla v)+\lambda q(x)v=f,\ x\in\Omega\subset\bbR^n,$ the problem of determining when one or more of the coefficient functions p, q, and f are defined uniquely by a knowledge of one or more of the solution functions $v=v_{p,q,f,\lambda}$ is considered.
Ian Knowles
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An Inverse Problem for a Quasilinear Elliptic Equation
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lyubanova, A. Sh., Velisevich, A. V.
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An Inverse Problem for an Elliptic Equation
Applicable Analysis, 2016This paper discusses the question of determining an unknown coefficient a(z) in an elliptic partial differential equation arising from the equation of motion in a nonhomogeneous half plane from the Dirichlet-Neumann pair . We discuss the uniqueness of this determination.
Doo-Sung Lee
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On Approximation of Inverse Problems for Abstract Elliptic Problems
Journal of Inverse and Ill-Posed Problems, 2009The authors consider an inverse problem of an abstract elliptic differential equation with respect to a general Banach space. The problem is overdetermined and thus an operator-valued source term has to be identified such that a solution exists. The authors investigate two scenarios.
S Piskarev
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Numerical Solution Of Inverse Problem For Elliptic Pdes
International Journal of Computer Mathematics, 2003This work is concerned with computing the solution of the following inverse problem: Finding u and on D such that: $$\nabla \cdot (\rho \nabla u) = 0,\quad \hbox{on}\ D;$$ $$u = g,\quad \hbox{on}\ \partial D;\qquad \rho u_n = f,\quad \hbox{on}\ \partial D;$$ $$\rho (x_0, y_0) = \rho_0,\quad \hbox{for a given point}\ (x_0, y_0) \in D$$ where f and g ...
Ali Sayfy, Sadia M. Makky
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The elliptical case of an odds inversion problem
Involve, a Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hilmer, Kieran +3 more
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Sequential Monte Carlo Methods for Bayesian Elliptic Inverse Problems [PDF]
Statistics and Computing, 2015 In this article we consider a Bayesian inverse problem associated to elliptic partial differential equations (PDEs) in two and three dimensions. This class of inverse problems is important in applications such as hydrology, but the complexity of the link function between unknown field and measurements can make it difficult to draw inference from the ...
Alexandros Beskos +2 more
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