Results 71 to 80 of about 400,777 (180)

Numerical solution and errors analysis of iterative method for a nonlinear plate bending problem

Results in Applied Mathematics
This paper uses the HCT finite element method and mesh adaptation technology to solve the nonlinear plate bending problem and conducts error analysis on the iterative method, including a priori and a posteriori error estimates. Our investigation exploits
Akakpo Amoussou Wilfried, Houédanou Koffi Wilfrid   +1 more
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An H1 -Galerkin Mixed Finite Element Approximation of a Nonlocal Hyperbolic Equation

Mathematical Modelling and Analysis, 2017
In this paper we investigate a semi-discrete H1 -Galerkin mixed finite element approximation of one kind of nolocal second order nonlinear hyperbolic equation, which is often used to describe vibration of an elastic string.
Fengxin Chen, Zhaojie Zhou
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A Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs

Journal of Scientific Computing
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, Xue-Cheng Tai, Jiang Yang, Quanhui Zhu   +3 more
openaire   +2 more sources

Convergence Analysis of H(div)-Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem

Discrete Dynamics in Nature and Society, 2020
In this paper, we introduce and analyze H(div)-conforming finite element methods for a nonlinear model in poroelasticity. More precisely, the flow variables are discretized by H(div)-conforming mixed finite elements, while the elastic displacement is ...
Yuping Zeng, Zhifeng Weng, Fen Liang
doaj   +1 more source

A note on inverse problem for strongly damped wave equation with Gaussian white noise

ITM Web of Conferences, 2018
In this paper, we study for the first time the inverse initial problem for the one-dimensional strongly damped wave with Gaussian white noise data.
Khanh Chu Duc, Hoang Luc Nguyen, Phan Van, Huy Tuan Nguyen   +3 more
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FPU-Supported Running Error Analysis

Acta Polytechnica, 2010
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  

A Viscous Fluid Flow through a Thin Channel with Mixed Rigid-Elastic Boundary: Variational and Asymptotic Analysis

Abstract and Applied Analysis, 2012
We study the nonsteady Stokes flow in a thin tube structure composed by two thin rectangles with lateral elastic boundaries which are connected by a domain with rigid boundaries.
R. Fares, G. P. Panasenko, R. Stavre
doaj   +1 more source

Fourier Truncation Regularization Method for a Time-Fractional Backward Diffusion Problem with a Nonlinear Source

Mathematics, 2019
In present paper, we deal with a backward diffusion problem for a time-fractional diffusion problem with a nonlinear source in a strip domain. We all know this nonlinear problem is severely ill-posed, i.e., the solution does not depend continuously on ...
Fan Yang, Ping Fan, Xiao-Xiao Li, Xin-Yi Ma   +3 more
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A Numerical Approximation Method for the Inverse Problem of the Three-Dimensional Laplace Equation

Mathematics, 2019
In this article, an inverse problem with regards to the Laplace equation with non-homogeneous Neumann boundary conditions in a three-dimensional case is investigated.
Shangqin He, Xiufang Feng
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Numerical analysis and stability of the Moore-Gibson-Thompson-Fourier model

Journal of Numerical Analysis and Approximation Theory
This work is concerned the Moore-Gibson-Thompson-Fourier Model. Our contribution will consist in studying the numerical stability of the Moore-Gibson-Thompson-Fourier system.
Ali Smouk, Atika Radid
doaj   +1 more source