Name
Title | ||
|---|---|---|
Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra |
Abstract | ||
|---|---|---|
We consider the electric field integral equation on the surface of polyhedral domains and its Galerkin discretization by means of divergence-conforming boundary elements. With respect to a Hodge decomposition, the continuous variational problem is shown to be coercive. However, this does not immediately carry over to the discrete setting, as discrete Hodge decompositions fail to possess essential regularity properties. Introducing an intermediate semidiscrete Hodge decomposition, we can bridge the gap and come up with asymptotically optimal a priori error estimates. Until now, those had been elusive, in particular for nonsmooth boundaries. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1137/S0036142901387580 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
continuous variational problem,divergence-conforming boundary element,intermediate semidiscrete hodge decomposition,natural boundary element methods,essential regularity property,galerkin discretization,hodge decomposition,error estimate,discrete setting,electric field integral equation,discrete hodge decomposition,electric field,boundary element method | Discretization,Electric-field integral equation,Mathematical analysis,Polyhedron,Galerkin method,Integral equation,Boundary element method,Numerical analysis,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
40 | 1 | 0036-1429 |
Citations | PageRank | References |
9 | 1.77 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| R. Hiptmair | 1 | 199 | 38.97 |
| C. Schwab | 2 | 99 | 19.07 |