Results 51 to 60 of about 81,423 (165)
Abstract and Applied Analysis, 2013 This paper discusses spectral and spectral element methods with Legendre-Gauss-Lobatto nodal basis for general 2nd-order elliptic eigenvalue problems. The special work of this paper is as follows.
Jiayu Han, Yidu Yang
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Finite Volume Element Approximation for the Elliptic Equation with Distributed Control
International Journal of Differential Equations, 2018 In this paper, we consider a priori error estimates for the finite volume element schemes of optimal control problems, which are governed by linear elliptic partial differential equation.
Quanxiang Wang +2 more
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A-priori estimates of the hp-adaptive BEM in elastic scattering of acoustic waves
Computer Assisted Methods in Engineering and Science, 2023 In the paper some a-priori hp-adaptive error estimates, applied to the problem of acoustic wave scattering on an elastic body in the 2D space, solved by the Boundary Element Method, are presented.
Andrzej Karafiat
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Regularization method and a posteriori error estimates for the two membranes problem
Open MathematicsThis study presents a regularization method for the two membranes problem with non-homogeneous boundary conditions. We establish both convergence results and a priori estimates for this method.
Bouchlaghem Mohammed +2 more
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Numerical solution and errors analysis of iterative method for a nonlinear plate bending problem
Results in Applied MathematicsThis 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 +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 ComputingIn 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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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
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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 +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
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