#### Location

La Jolla, CA

#### Start Date

1-1-1993 12:00 PM

#### Description

A modified boundary integral equation/boundary element method (BIE/BEM) is being developed for eddy current problems in three dimensions. Maxwell’s equations governing the eddy current problems are formulated in two sets of BIE’s, one for the electric field and the other for the magnetic field. These BIE’s involve both the field and the normal derivative of the field, for both exterior (air) and interior (metal) regions. In addition to the usual set of interface conditions involving only the field, a set of interface conditions involving the normal derivatives of the field is derived by applying Maxwell’s equations near the interface. The present approach represents a departure from the existing BIE formulation for eddy current problems (see, e.g. [1–3]) in which normal derivatives of the field do not explicitly appear.

#### Book Title

Review of Progress in Quantitative Nondestructive Evaluation

#### Volume

12A

#### Chapter

Chapter 1: Development of Standard Techniques

#### Section

Eddy Currents

#### Pages

235-242

#### DOI

10.1007/978-1-4615-2848-7_29

#### Copyright Owner

Springer-Verlag US

#### Copyright Date

January 1993

#### Language

en

#### File Format

application/pdf

Eddy current analysis for 3-D problems using the boundary element method

La Jolla, CA

A modified boundary integral equation/boundary element method (BIE/BEM) is being developed for eddy current problems in three dimensions. Maxwell’s equations governing the eddy current problems are formulated in two sets of BIE’s, one for the electric field and the other for the magnetic field. These BIE’s involve both the field and the normal derivative of the field, for both exterior (air) and interior (metal) regions. In addition to the usual set of interface conditions involving only the field, a set of interface conditions involving the normal derivatives of the field is derived by applying Maxwell’s equations near the interface. The present approach represents a departure from the existing BIE formulation for eddy current problems (see, e.g. [1–3]) in which normal derivatives of the field do not explicitly appear.