Name
Abstract | ||
|---|---|---|
In boundary element analysis, first order function derivatives, e.g., boundary potential gradient or stress tensor, can be accurately computed by evaluating the hypersingular integral equation for these quantities. However, this approach requires a complete integration over the boundary and is therefore computationally quite expensive. Herein it is shown that this method can be significantly simplified: only local singular integrals need to be evaluated. The procedure is based upon defining the singular integrals as a limit to the boundary and exploiting the ability to use both interior and exterior boundary limits. Test calculations for two- and three-dimensional problems demonstrate the accuracy of the method. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1137/S1064827502406002 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
singular integral,hypersingular integrals,hypersingular integral equation,exterior boundary limit,complete integration,boundary element analysis,surface derivatives,boundary integral evaluation,boundary integral method,order function derivative,boundary potential gradient,local singular integral,boundary limit,test calculation,stress tensor,integral equation,first order,three dimensional,boundary element | Boundary knot method,Boundary value problem,Robin boundary condition,Mathematical optimization,Mathematical analysis,Free boundary problem,Singular boundary method,Cauchy boundary condition,Neumann boundary condition,Mathematics,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
26 | 1 | 1064-8275 |
Citations | PageRank | References |
2 | 1.07 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. J. Gray | 1 | 8 | 3.28 |
| A-V Phan | 2 | 4 | 1.59 |
| T. Kaplan | 3 | 6 | 3.50 |