Results 51 to 60 of about 400,777 (180)
A New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation
The Scientific World Journal, 2013 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
Comptes Rendus. Mécanique, 2023 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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A Priori Error Estimates for Some Discontinuous Galerkin Immersed Finite Element Methods [PDF]
Journal of Scientific Computing, 2015 In this paper, we derive a priori error estimates for a class of interior penalty discontinuous Galerkin (DG) methods using immersed finite element (IFE) functions for a classic second-order elliptic interface problem. The error estimation shows that these methods can converge optimally in a mesh-dependent energy norm.
Lin, Tao, Yang, Qing, Zhang, Xu
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Abstract and Applied Analysis, 2014 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 L 2-Error Estimates for Approximations of Functions on Compact Manifolds [PDF]
Mediterranean Journal of Mathematics, 2014 Given a { mathcal{C}^{2}} -function f on a compact riemannian manifold (X,g) we give a set of frequencies { L=L_{f}(varepsilon)} depending on a small parameter { varepsilon > 0} such that the relative L2-error { frac{f-f^{L} }{f}} is bounded above by { varepsilon}, where fL denotes the L-partial sum of the Fourier series f with respect to an ...
Marín Pérez, David +1 more
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Regional data assimilation of multi-spectral MOPITT observations of CO over North America [PDF]
Atmospheric Chemistry and Physics, 2015 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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Error analysis of a continuous-discontinuous Galerkin finite element method for generalized 2D vorticity dynamics [PDF]
, 2005 A detailed a priori error estimate is provided for a continuous-discontinuous Galerkin finite element method suitable for two-dimensional geophysical flows.
Bokhove, O. +2 more
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A priorierror estimates for a state-constrained elliptic optimal control problem [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2012 We examine an elliptic optimal control problem with control and state constraints in R 3 . An improved error estimate of O(h s )w ith 3 ≤ s ≤ 1−e is proven for a discretisation involving piecewise constant functions for the control and piecewise linear for the state. The derived order of convergence is illustrated by a numerical example.
Rösch, Arnd, Steinig, Simeon
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Error Evaluation in a Stereovision-Based 3D Reconstruction System
EURASIP Journal on Image and Video Processing, 2010 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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Finite element approximation of the $p(\cdot)$-Laplacian
, 2014 We study a~priori estimates for the Dirichlet problem of the $p(\cdot)$-Laplacian, \[-\mathrm{div}(|\nabla v|^{p(\cdot)-2} \nabla v) = f. \] We show that the gradients of the finite element approximation with zero boundary data converges with rate $O(h ...
Barrett J. W. +12 more
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