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Article
Computable Interpolation Error Constants for the Geometric Simplex Finite Elements
In this paper, a novel high accuracy computation method for interpolation error constants is proposed over the geometric simplex finite elements. Firstly, the expansions of bounded linear operators are employe...
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Article
The nonconforming virtual element method for fourth-order singular perturbation problem
We present the nonconforming virtual element method for the fourth-order singular perturbation problem. The virtual element proposed in this paper is a variant of the C0-continuous nonconforming virtual element p...
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Article
Nonconforming Virtual Element Method for the Time Fractional Reaction–Subdiffusion Equation with Non-smooth Data
In this paper, we consider the nonconforming virtual element method (VEM) for the approximation of the time fractional reaction–subdiffusion equation involving the Caputo fractional derivative. For the numeric...
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Article
The Morley-Type Virtual Element for Plate Bending Problems
We propose a simple nonconforming virtual element for plate bending problems, which has few local degrees of freedom and provides the optimal convergence in
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Article
A locking-free stabilized mixed finite element method for linear elasticity: the high order case
In this paper, we propose a locking-free stabilized mixed finite element method for the linear elasticity problem, which employs a jump penalty term for the displacement approximation. The continuous piecewise k-...
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Article
Open AccessA nonconforming scheme for non-Fickian flow in porous media
In this paper, we construct a semi-discrete scheme and a fully discrete scheme using the Wilson nonconforming element for the parabolic integro-differential equation arising in modeling the non-Fickian flow in...
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Article
A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems
We consider residual-based a posteriori error estimation for lowest-order nonconforming finite element approximations of streamline-diffusion type for solving convection-diffusion problems. The resulting error...
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Article
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes
In this paper, we study a posteriori estimates for different numerical methods of diffusion problems with discontinuous coefficients on anisotropic meshes, in particular, which can be applied to vertex-centere...
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Article
Robust a posteriori error estimates for conforming discretizations of a singularly perturbed reaction-diffusion problem on anisotropic meshes
In this paper, we derive robust a posteriori error estimates for conforming approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes, since the solution in general exhibits ani...
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Article
On a posteriori error estimates for the linear triangular finite element
Based on equilibration of side fluxes, an a posteriori error estimator is obtained for the linear triangular element for the Poisson equation, which can be computed locally. We present a procedure for construc...
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Article
Uniformly convergent H(div)-conforming rectangular elements for Darcy-Stokes problem
We consider a singular perturbation problem which describes 2D Darcy-Stokes flow. An H(div)-conforming rectangular element, DS-R14, is proposed and analyzed first. This element has 14 degrees of freedom for veloc...
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Article
\(C^{0}\) -nonconforming tetrahedral and cuboid elements for the three-dimensional fourth order elliptic problem
In this paper, a theoretical framework is constructed on how to develop \(C^0\) -nonconforming elements for the fourth...
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Chapter and Conference Paper
The Design of Multi-parameter and Portable Monitor for Sleep Apnea Status
The low-power and multi-parameter monitor has been designed for human sleep apnea status by use of the LPC2132 microcontroller of ARM7.The μC / OS-II real-time operating system is embedded as the platform of soft...
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Chapter
Outside Hospital Rehabilitation System for COPD Patients Based on GPRS Network
The long time oxygen therapy (LTOT) and home mechanical ventilation(HMV) are lack of effective monitor and unified management in the treatment of COPD which can not give patients real-time monitoring and treat...
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Chapter and Conference Paper
The Design of Body Sensor Network Based on CC430
With the development of microelectronics technology and wireless communication technology, the body sensor network has been widely applied to varied fields. Health monitoring is one of the most interested fiel...
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Article
Interpolation theory of anisotropic finite elements and applications
Interpolation theory is the foundation of finite element methods. In this paper, after reviewing some existed interpolation theorems of anisotropic finite element methods, we present a new way to analyse the i...
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Article
Effect of high temperature and excessive light on glutathione content in apple peel
The present experiment was conducted to examine the changing patterns of glutathione (GSH) contents in apple peel stressed by high temperature and excessive solar radiation. By comparing the parameters of temp...
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Article
A quadrilateral nonconforming finite element for linear elasticity problem
In this paper, a four-parameter quadrilateral nonconforming finite element with DSP (double set parameters) is presented. Then we discuss the quadrilateral nonconforming finite element approximation to the lin...
