Browse Publications Technical Papers 2008-01-0707
2008-04-14

Interval Bounds on the Local Discretizaton Error in Boundary Element Analysis for Domains with Singular Flux 2008-01-0707

In engineering most partial differential equations are solved using numerical methods. Throughout the years finite element method emerged as the most widely used numerical technique to obtain discrete solutions to partial differential equations. An alternative method to the finite element method is the boundary element method. In boundary element formulation the domain variables are transformed to boundary variables using Green's functions of the partial differential equations. The uncertainty in the solutions to boundary values in boundary element method has been studied using interval approach. Interval treatment of the uncertainty in boundary conditions, integration, truncation, and discretization errors has been developed. In this work local discretization error is computed for the problems exhibiting singular flux. Example is shown demonstrating the behavior of the worst case bounds on the discretization error in the presence of singular solutions.

SAE MOBILUS

Subscribers can view annotate, and download all of SAE's content. Learn More »

Access SAE MOBILUS »

Members save up to 43% off list price.
Login to see discount.
Special Offer: With TechSelect, you decide what SAE Technical Papers you need, when you need them, and how much you want to pay.
X