Results 71 to 80 of about 544,469 (212)
A Stable Space-Time Finite Element Method for Parabolic Evolution Problems
This paper is concerned with the analysis of a new stable space-time finite element method (FEM) for the numerical solution of parabolic evolution problems in moving spatial computational domains.
Moore, Stephen Edward
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Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation
We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2 $\mathbb{R}^{2}$. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (
Dojin Kim
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Quaternion normalization in spacecraft attitude determination [PDF]
Attitude determination of spacecraft usually utilizes vector measurements such as Sun, center of Earth, star, and magnetic field direction to update the quaternion which determines the spacecraft orientation with respect to some reference coordinates in ...
Bar-Itzhack, Itzhack Y. +2 more
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FPU-Supported Running Error Analysis
A-posteriori forward rounding error analyses tend to give sharper error estimates than a-priori ones, as they use actual data quantities. One of such a-posteriori analysis – running error analysis – uses expressions consisting of two parts; one generates
T. Zahradnický, R. Lórencz
doaj
In this article, a finite volume element method with the second-order weighted and shifted Grünwald difference (WSGD) formula is proposed and studied for nonlinear time fractional mobile/immobile transport equations on triangular grids. By using the WSGD
Jie Zhao +3 more
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We consider a time-fractional diffusion equation for an inverse problem to determine an unknown source term, whereby the input data is obtained at a certain time. In general, the inverse problems are ill-posed in the sense of Hadamard. Therefore, in this
Le Dinh Long +3 more
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A priori error estimation of finite element models from first principles
The quality of finite element computational results can be assessed only by providing rational criteria for evaluating errors. Most exercises in this direction are based ona posteriori error estimates, based primarily on experience and intuition. If finite element analysis has to be considered a rational science, it is imperative that procedures to ...
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MAP Estimation of Chin and Cheek Contours in Video Sequences
An algorithm for the estimation of chin and cheek contours in video sequences is proposed. This algorithm exploits a priori knowledge about shape and position of chin and cheek contours in images.
Kampmann Markus
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Hybrid Localized Spectral Decomposition for multiscale problems
We consider a finite element method for elliptic equation with heterogeneous and possibly high-contrast coefficients based on primal hybrid formulation.
Madureira, Alexandre L., Sarkis, Marcus
core
A Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs
In this work, we derive a priori error estimate of the mixed residual method when solving some elliptic PDEs. Our work is the first theoretical study of this method. We prove that the neural network solutions will converge if we increase the training samples and network size without any constraint on the ratio of training samples to the network size ...
Lingfeng Li +3 more
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