Results 1 to 10 of about 471,184 (284)
Entropy, 2021 In this paper, the streamline upwind/Petrov Galerkin (SUPG) stabilized virtual element method (VEM) for optimal control problem governed by a convection dominated diffusion equation is investigated.
Qiming Wang, Zhaojie Zhou
doaj +1 more source
A priori error analysis of virtual element method for contact problem
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech.
Fei Wang, B. Daya Reddy
doaj +1 more source
Numerical Simulation for Brinkman System with Varied Permeability Tensor
Mathematics, 2022 The aim of this paper is to study a stationary Brinkman problem in an anisotropic porous medium by using a mini-element method with a general boundary condition. One of the important aspects of the P1−Bubble/P1 method is satisfying the inf-sup condition,
Lahcen El Ouadefli +6 more
doaj +1 more source
Numerical resolution of the wave equation using the spectral method
Boundary Value Problems, 2022 We present a new procedure for the numerical study of the wave equation. We use the spectral discretization method associated with the Euler scheme for spatial and temporal discretization. A detailed numerical analysis leads to an a priori error estimate.
Mohamed Abdelwahed, Nejmeddine Chorfi
doaj +1 more source
Fractal and Fractional, 2021 In this paper spectral Galerkin approximation of optimal control problem governed by fractional advection diffusion reaction equation with integral state constraint is investigated.
Fangyuan Wang, Xiaodi Li, Zhaojie Zhou
doaj +1 more source
Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations
Algorithms, 2022 We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the
Omar Khalil +3 more
doaj +1 more source
A quasi-boundary method for solving an inverse diffraction problem
AIMS Mathematics, 2022 In this paper, we deal with the reconstruction problem of aperture in the plane from their diffraction patterns. The problem is severely ill-posed. The reconstruction solutions of classical Tikhonov method and Fourier truncated method are usually over ...
Zhenping Li +3 more
doaj +1 more source
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
doaj +1 more source
The spectral discretization of the second-order wave equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed.
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj +1 more source
Axioms, 2023 For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
doaj +1 more source