Um estimador de erro a posteriori para a equação do transporte de contaminantes em regime de pequena advecção

ABSTRACT. Considering the fact that the transport of contaminants occur in small advection regime, a residual estimator is used to evaluate the parabolic equation that describes the phenomena of advectiondiffusion-reaction in the saturated porous medium. The correspondent numerical solution is obtained by the finite element method using the θ A-stable scheme and a Python code. The residual error estimator considers its component parts and enables analysis and comparisons of contributions to residual error. This analysis considers a problem sequence with a different number of elements in computational mesh. As a result of numerical simulations, there is a dominance of the jump residuals compared to other residual estimates and this dominance increases with both, the growth of elements number in the computational mesh and with time. Furthermore, the considered problem requires additional effort for the calculation of contributions associated with the L 2 projection of the contaminant source function on the finite element space.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Um estimador de erro a posteriori para a equação do transporte de contaminantes em regime de pequena advecção

Cited by 2 publications

References 7 publications

Estimando os limites inferiores e superiores do erro residual da solução numérica de um modelo ADR

Estimando os limites inferiores e superiores do erro residual da solução numérica de um modelo ADR

Jump Dominance on the Contaminant Transport Residual Error Estimator

Contact Info

Product

Resources

About