Regularization of the fractional Rayleigh–Stokes equation using a fractional Landweber method
In this paper, we consider a time-fractional backward problem for the fractional Rayleigh–Stokes equation in a general bounded domain. We propose a fractional Landweber regularization method for solving this problem.
Nguyen Hoang Luc +3 more
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A New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation
We present a new mixed finite element method for solving the extended Fisher-Kolmogorov (EFK) equation. We first decompose the EFK equation as the two second-order equations, then deal with a second-order equation employing finite element method, and ...
Jinfeng Wang +4 more
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A finite element method for a two-dimensional Pucci equation
A nonlinear least-squares finite element method for strong solutions of the Dirichlet boundary value problem of a two-dimensional Pucci equation on convex polygonal domains is investigated in this paper.
Brenner, Susanne C. +2 more
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The aim of this work is to investigate the discretization of general linear hyperbolic convex optimal control problems by using the mixed finite element methods.
Zuliang Lu, Xiao Huang
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A Priori Error Estimates for Approximation of Parabolic Boundary Value Problems [PDF]
The L2-error estimates are established for the continuous time Faedo-Galerkin approximation to solutions of a linear parabolic initial boundary value problem that has elliptic part of order 2m. Properties of analytic semigroups are used to obtain these estimates directly from the LZ-estimates for the corresponding steady state elliptic problem under ...
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Regional data assimilation of multi-spectral MOPITT observations of CO over North America [PDF]
Chemical transport models (CTMs) driven with high-resolution meteorological fields can better resolve small-scale processes, such as frontal lifting or deep convection, and thus improve the simulation and emission estimates of tropospheric trace gases ...
Z. Jiang +5 more
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Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with time steps which may vary for different components of the computed solution. In this paper, we prove
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Error Evaluation in a Stereovision-Based 3D Reconstruction System
The work presented in this paper deals with the performance analysis of the whole 3D reconstruction process of imaged objects, specifically of the set of geometric primitives describing their outline and extracted from a pair of images knowing their ...
Abdelkrim Belhaoua +2 more
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An Adaptive Nonconforming Finite Element Algorithm for Laplace Eigenvalue Problem
We establish Crouzeix-Raviart element adaptive algorithm based on Rayleigh quotient iteration and give its a priori/a posteriori error estimates. Our algorithm is performed under the package of Chen, and satisfactory numerical results are obtained.
Yuanyuan Yu, Yidu Yang, Jiayu Han
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A priori error estimates of finite volume methods for general elliptic optimal control problems
In this article, we establish a priori error estimates for the finite volume approximation of general elliptic optimal control problems. We use finite volume methods to discretize the state and adjoint equation of the optimal control problems. For the
Yuming Feng +4 more
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