The finite difference streamline diffusion methods for Sobolev equations with convection-dominated term
type: Item
instance of: scholarly article
title: The finite difference streamline diffusion methods for Sobolev equations with convection-dominated term
zbMATH Open document ID: 1030.65095
DOI: 10.1016/S0096-3003(00)00135-1
author: Danping Yang
author: Tongjun Sun
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: Consider the linear Sobolev equation \[ \begin{multlined} c(x,t){\partial u\over\partial t}+ d(x,t)\cdot\nabla u-\nabla\cdot \Biggl[a(x, t)\nabla u+ b(x,t) \nabla{\partial u\over\partial t}\Biggr]+ \sigma(x, t) u=\\ f(x, t),\qquad (x,t)\in \Omega\times (0,T]\end{multlined} \] with the boundary and initial conditions \[ u(x, t)= 0,\quad (x, t)\in\partial\Omega\times [0,T],\quad u(x,0)= u_0(x),\quad x\in\Omega,\quad t= 0,\quad\Omega\subset \mathbb{R}^2, \] with some smoothness and positivity conditions on the coefficients. The purpose of the present paper is to derive two ``finite difference streamline diffusion schemes'', to study their stability and give error estimates in suitable norms.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1861000
zbMATH Keywords: finite difference streamline diffusion schemes
zbMATH Keywords: linear Sobolev equation
zbMATH Keywords: stability
zbMATH Keywords: error estimates
MaRDI profile type: Publication
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full work available at URL: s0096-3003(00)00135-1
OpenAlex ID: W2053758628
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description: scientific article; zbMATH DE number 1861000