Results 21 to 30 of about 1,823 (241)
Mathematics, 2022 Inverse problems of recovering surface fluxes on the boundary of a domain from pointwise observations are considered. Sharp conditions on the data ensuring existence and uniqueness of solutions in Sobolev classes are exposed.
Sergey Pyatkov, Denis Shilenkov
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An Inverse Problem for an Elliptic Equation
Publications of the Research Institute for Mathematical Sciences, 2004 We consider the following overdetermined boundary value problem: ∆u = λu−µ in Ω , u = 0
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Survivals of two cooperating species of animals
Partial Differential Equations in Applied Mathematics, 2021 The purpose of this paper is to give conditions for the existence and uniqueness of positive solution to a rather general type of elliptic system of the Dirichlet problem on a bounded domain Ω in Rn.
Joon Hyuk Kang
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A Bayesian Numerical Homogenization Method for Elliptic Multiscale Inverse Problems [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2020 A new strategy based on numerical homogenization and Bayesian techniques for solving multiscale inverse problems is introduced. We consider a class of elliptic problems which vary at a microscopic scale, and we aim at recovering the highly oscillatory tensor from measurements of the fine scale solution at the boundary, using a coarse model based on ...
Abdulle, Assyr, Di Blasio, Andrea
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The numerical solution of forward and inverse Robin problems for Laplace’s equation
Boundary Value Problems, 2019 The Robin boundary value problem for Laplace’s equation in the elliptic region (which is a forward problem) and its related inverse problem can be used to reconstruct Robin coefficients from measurements on a partial boundary (inverse problem).
Dan Qu, Yan-Bo Ma
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Estimation of discontinuous parameters in linear elliptic equations by a regularized inverse problem
Partial Differential Equations in Applied Mathematics, 2022 To calculate the parameters k in a stationary model Aku=ffrom measurements yˆof the solution u, i.e. to solve the inverse problem, usually a regularized minimization problem is solved and its solution kˆis considered as estimate of the true parameters ...
Jochen Merker, Aleš Matas
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Advanced Engineering Materials, EarlyView.A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
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An Efficient Double Parameter Elliptic Curve Digital Signature Algorithm for Blockchain
IEEE Access, 2021 The classic Elliptic curve digital Signature Algorithm (ECDSA) uses one inversion operation in the process of signature and verification, which greatly reduces the efficiency of digital signatures.
Shuang-Gen Liu, Wan-Qi Chen, Jia-Lu Liu
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Advanced Functional Materials, EarlyView.Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
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On an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation with Integral Condition
Abstract 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
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