A Local Projection Stabilization for Convection-Diffusion-Reaction Equations Using Biorthogonal Systems

Title: A Local Projection Stabilization for Convection-Diffusion-Reaction Equations Using Biorthogonal Systems
Creator: Lamichhane, Bishnu P.; Shaw-Carmody, Jordan A.
Relation: ANZIAM Journal Vol. 64, Issue 3, p. 205-226
Publisher Link: http://dx.doi.org/10.1017/S1446181123000019
Publisher: Cambridge University Press
Resource Type: journal article
Date: 2023
Description: We consider a local projection stabilization based on biorthogonal systems for convection–diffusion–reaction differential equations with mixed boundary conditions. The approach based on biorthogonal systems is numerically more efficient than other existing approaches to obtain a uniform approximation for convection dominated problems. We prove optimal a priori error estimates for the proposed numerical technique. Numerical examples are presented to demonstrate the performance of the approach.
Subject: advection-dominated problem; biorthogonal system; local projection stabilization; convection
Identifier: http://hdl.handle.net/1959.13/1479844
Identifier: uon:50395
Identifier: ISSN:1446-1811
Language: eng
Reviewed

		Thumbnail	File	Description	Size	Format