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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Internet Resource |

All Authors / Contributors: |
Fernando Reitich; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS. |

OCLC Number: | 227996089 |

Description: | 11 p. |

### Abstract:

The problems and techniques addressed under the present contract deal with issues of analysis and computation in electromagnetics. The primary goal consists of the development of efficient numerical tools for the prediction of scattered fields in a number of practical configurations. For this, substantial effort will be devoted to the extension and enhancement 0 the Method of Variation of Boundaries (MVB). Specific objectives in connection with MVB include: (1) advancement and implementation of algorithmic improvements for very high-order calculations; (2) application to the solution of eigenvalue problems (related to cavities, resonators and waveguides); to the calculation of electromagnetic scattering from damaged objects and rough terrain; and to inverse scattering problems. (3) Concurrent with these endeavors the program will pursue the incorporation of the boundary-variation approach in more classical computational techniques, such as the finite-element methods (FEM). A first instance of such interactions will be sought through the implementation of high-order boundary perturbation approximations to computational radiation conditions (typically imposed on separable geometries). To enable and enhance such applications, the plan includes the development of new (high-order) discontinuous Galerkin (DG) finite element approach to electromagnetic scattering calculations which is expected to provide an advantageous setting for adaptivity and parallelization. Alternative high-order methods (e.g., based on integral equation formulations) will also be considered.

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## Similar Items

### Related Subjects:(26)

- Numerical Mathematics.
- Electricity and Magnetism.
- Optics.
- Electromagnetic scattering.
- Radiation.
- High frequency.
- Computations.
- Finite element analysis.
- Formulations.
- Numerical analysis.
- Efficiency.
- Eigenvalues.
- Waveguides.
- Terrain.
- Backscattering.
- Problem solving.
- Boundaries.
- Approximation(mathematics)
- Perturbations.
- Resonators.
- Inverse scattering.
- Oceans.
- Integral equations.
- Roughness.
- MVB(METHOD OF VARIATION OF BOUNDARIES)
- DG(DISCONTINUOUS GALERKIN)