Results 61 to 70 of about 401,417 (282)
AIMS Mathematics, 2023 In this paper, a mixed finite element method combined with Crank-Nicolson scheme approximation of parabolic optimal control problems with control constraint is investigated.
Yuelong Tang
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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 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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Arthritis Care &Research, Accepted Article.Objectives There is growing interest in evaluating new strategies to delay or prevent post‐traumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury.
Kevin Kennedy +9 more
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Results in Applied Mathematics, 2023 In this paper, a fully discrete interpolated coefficient characteristic finite element approximation is proposed for optimal control problems governed by time-dependent semilinear convection–diffusion equations, where the hyperbolic part of the state ...
Xiaowu Li, Yuelong Tang
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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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Addressing Economic Insecurities Can Improve Patient‐Reported Outcomes in Lupus
Arthritis Care &Research, Accepted Article.Background Economic insecurities, such as food, housing, transportation, and financial challenges, are modifiable risk factors and influence patient‐reported outcomes (PROs) in systemic lupus erythematosus (SLE). We examined: 1) associations between economic insecurities and PROs; 2) the impact of screening and addressing economic insecurities during ...
Jay Patel +8 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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International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
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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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