Results 21 to 30 of about 81,392 (265)

Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation

Advances in Difference Equations, 2018
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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Numerical Method for a Cauchy Problem for Multi-Dimensional Laplace Equation with Bilateral Exponential Kernel

Mathematics, 2023
This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of Hadamard.
Xianli Lv, Xiufang Feng
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A priori error estimation for the stochastic perturbation method

Computer Methods in Applied Mechanics and Engineering, 2015
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Wang, Xiang-Yu, Cen, Song, Li, C.F., Owen, D.R.J.   +3 more
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A New Expanded Mixed Element Method for Convection-Dominated Sobolev Equation

The Scientific World Journal, 2014
We propose and analyze a new expanded mixed element method, whose gradient belongs to the simple square integrable space instead of the classical H(div; Ω) space of Chen’s expanded mixed element method.
Jinfeng Wang, Yang Liu, Hong Li, Zhichao Fang   +3 more
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On a Novel Numerical Scheme for Riesz Fractional Partial Differential Equations

Mathematics, 2021
In this paper, we consider numerical solutions for Riesz space fractional partial differential equations with a second order time derivative. We propose a Galerkin finite element scheme for both the temporal and spatial discretizations.
Junjiang Lai, Hongyu Liu
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A note on a priori error estimates for augmented mixed methods

Applied Mathematics Letters, 2016
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Tomás P. Barrios, Edwin M. Behrens, Rommel Bustinza   +2 more
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A priori error estimates for a discretized poro-elastic–elastic system solved by a fixed-stress algorithm

Oil & Gas Science and Technology, 2019
We consider a poro-elastic region embedded into an elastic non-porous region. The elastic displacement equations are discretized by a continuous Galerkin scheme, while the flow equations for the pressure in the poro-elastic medium are discretized by ...
Girault Vivette, Wheeler Mary F., Almani Tameem, Dana Saumik   +3 more
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Method of Particular Solutions for Second-Order Differential Equation with Variable Coefficients via Orthogonal Polynomials

Journal of Function Spaces, 2023
In this paper, with classic Legendre polynomials, a method of particular solutions (MPS, for short) is proposed to solve a kind of second-order differential equations with a variable coefficient on a unit interval.
Huantian Xie, Zhaozhong Zhang, Ziwu Jiang, Jianwei Zhou   +3 more
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A two-layer Crank–Nicolson linear finite element methods for second-order hyperbolic optimal control problems

Results in Applied Mathematics, 2023
In this paper, we consider a two-layer Crank–Nicolson scheme combined with linear finite element approximation for second-order hyperbolic optimal control problems with control constraints.
Xiaowu Li, Yuelong Tang
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General Local Convergence Theorems about the Picard Iteration in Arbitrary Normed Fields with Applications to Super–Halley Method for Multiple Polynomial Zeros

Mathematics, 2020
In this paper, we prove two general convergence theorems with error estimates that give sufficient conditions to guarantee the local convergence of the Picard iteration in arbitrary normed fields. Thus, we provide a unified approach for investigating the
Stoil I. Ivanov
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