Abstract:
Two new formulations of infinite elements are proposed. These elements in combination with the conventional finite elements yield coupled finite element formulations for ...Show MoreMetadata
Abstract:
Two new formulations of infinite elements are proposed. These elements in combination with the conventional finite elements yield coupled finite element formulations for 2D scattering problems. The first formulation works for any shape of the finite element region, while the second one has been developed for a rectangular outer boundary. In comparison with the previous infinite elements, the present infinite elements are constructed in such a way that simple expressions have been obtained for their element matrices. As a result of this, no formula for numerical quadrature over the infinite region is necessary and the infinite elements can easily be incorporated into standard finite element codes. Two numerical examples are given.
Published in: IEEE Transactions on Magnetics ( Volume: 32, Issue: 3, May 1996)
DOI: 10.1109/20.497382
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Finite Element ,
- Infinite Elements ,
- Matrix Elements ,
- Outer Boundary ,
- Finite Region ,
- Standard Finite Element ,
- Infinity ,
- Finite Element Method ,
- Plane Wave ,
- Symmetric Matrix ,
- Electric Field Strength ,
- Shape Functions ,
- Complex Conjugate ,
- Incident Wave ,
- Irradiation Conditions ,
- Finite Element Mesh ,
- Artificial Boundary ,
- Transverse Polarization ,
- Infinite Matrix ,
- Outgoing Wave ,
- Exterior Region ,
- Circular Boundary ,
- Polar Cases
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Finite Element ,
- Infinite Elements ,
- Matrix Elements ,
- Outer Boundary ,
- Finite Region ,
- Standard Finite Element ,
- Infinity ,
- Finite Element Method ,
- Plane Wave ,
- Symmetric Matrix ,
- Electric Field Strength ,
- Shape Functions ,
- Complex Conjugate ,
- Incident Wave ,
- Irradiation Conditions ,
- Finite Element Mesh ,
- Artificial Boundary ,
- Transverse Polarization ,
- Infinite Matrix ,
- Outgoing Wave ,
- Exterior Region ,
- Circular Boundary ,
- Polar Cases
