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A C0 finite element method for an inverse problem

Applied Mathematics and Computation, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An inverse finite element method for pricing American options

Journal of Economic Dynamics and Control, 2013
Abstract The pricing of American options has been widely acknowledged as “a much more intriguing” problem in financial engineering. In this paper, a “convergency-proved” IFE (inverse finite element) approach is introduced to the field of financial engineering to price American options for the first time. Without involving any linearization process at
Zhu, Song-Ping, Chen, Wenting
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Finite Element Methods for Solving Parabolic Inverse Problems

2000
In this paper, we apply the finite element method to identify physical parameters in parabolic initial-boundary value problems. The identifying problem is formulated as a constrained minimization of the L 2-norm error between the observation data and the physical solution to the original system, with the H 1-regularization or BV-regularization.
Yee Lo Keung, Jun Zou
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Finite-element contrast source inversion method for microwave imaging

Inverse Problems, 2010
With respect to the microwave imaging of the dielectric properties in an imaging region, the full derivation of a new inversion algorithm based on the contrast source inversion (CSI) algorithm and a finite-element method (FEM) discretization of the Helmholtz differential operator formulation for the scattered electromagnetic field is presented.
Amer Zakaria, Colin Gilmore, Joe LoVetri
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A non‐iterative finite element method for inverse heat conduction problems

International Journal for Numerical Methods in Engineering, 2003
AbstractA non‐iterative, finite element‐based inverse method for estimating surface heat flux histories on thermally conducting bodies is developed. The technique, which accommodates both linear and non‐linear problems, and which sequentially minimizes the least squares error norm between corresponding sets of measured and computed temperatures, takes ...
Ling, Xianwu   +2 more
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3D MT Anisotropic Inversion Based on Unstructured Finite-element Method

Journal of Environmental and Engineering Geophysics, 2021
The conventional 3D magnetotelluric (MT) forward modeling and inversions generally assume an isotropic earth model. However, wrong results can be obtained when using an isotropic model to interpret the data influenced by the anisotropy. To effectively model and recover the earth structures including anisotropy, we develop a 3D MT inversion framework ...
Xiaoyue Cao   +4 more
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3-D resistivity inversion using the finite‐element method

GEOPHYSICS, 1994
With the increased availability of faster computers, it is now practical to employ numerical modeling techniques to invert resistivity data for 3-D structure. Full and approximate 3-D inversion methods using the finite‐element solution for the forward problem have been developed.
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Time-Domain Finite Element Method for Inverse Problem of Aircraft Maneuvers

Journal of Guidance, Control, and Dynamics, 1997
Summary: A method for solving nonlinear inverse problems is proposed. The inverse problem is formulated as a general optimization problem with equality constraints that are functions of state variables. The optimality conditions are derived by a variational approach.
Lee, Suchang, Kim, Youdan
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An Inverse Finite Element Method for Pure and Binary Solidification Problems

Journal of Computational Physics, 1997
An extension of the inverse finite element method (IFEM) developed by \textit{A. N. Alexandrou} [Int. J. Numer. Methods Eng. 28, No. 10, 2383-2396 (1989; Zbl 0716.73096)] is introduced. It allows the nodal temperature to change and employs a more general mesh updating procedure than in previous applications.
Fedoseyev, Alexandre I.   +1 more
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Moore-penrose inverse method of topological variation of finite element systems

Computers & Structures, 1997
Abstract A topological modification method for structural variations of finite element system is studied in this paper. The Moore-Penrose (M-P) inverse theory and a new factorization of a stiffness matrix are used. A set of explicit formulations of variations are obtained.
Liang, Ping, Chen, Suhuan, Huang, Cheng
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