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Abstract
This chapter reviews recent advances in numerical time-domain techniques for solving Maxwell’s equations in non-Cartesian discretisations. This class of techniques, which can be denoted as conformal time-domain methods, provides an approach particularly advantageous for geometries comprising curved surfaces and multi-scale features. The first part of the chapter reviews the developments of a particular time-domain method applied in tetrahedral meshes, namely the Finite-Volume Time-Domain (FVTD) method. Different associated techniques aiming at enhancing the capability of the method are described, and the potential of the FVTD method for solving multi-scale problems is illustrated with the example of a 31-antenna breast cancer imaging system. The successful solution of this particular example demonstrates
the benefits of the approach for problems which might challenge time-domain methods applied in Cartesian grids, even when coupled to sub-cell models and sub-gridding schemes. The second part of the chapter points out to a novel class of methods which are amenable to conformal time-domain implementation on clouds of points. These so-called “meshless methods” do not require an explicit mesh definition, and open new perspectives towards future applications involving multi-scale multi-physics problems.
the benefits of the approach for problems which might challenge time-domain methods applied in Cartesian grids, even when coupled to sub-cell models and sub-gridding schemes. The second part of the chapter points out to a novel class of methods which are amenable to conformal time-domain implementation on clouds of points. These so-called “meshless methods” do not require an explicit mesh definition, and open new perspectives towards future applications involving multi-scale multi-physics problems.
Original language | English |
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Title of host publication | Computational Electromagnetics- Retrospective and Outlook |
Publisher | Springer Verlag |
ISBN (Print) | 978-981-287-094-0 |
Publication status | Published - 14 Sept 2014 |
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Dive into the research topics of 'Conformal and Multi-scale Time-Domain Methods: From Unstructured Meshes to Meshless Discretisations'. Together they form a unique fingerprint.Projects
- 1 Finished
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Differential Microwave Imaging for Advanced Clinical Applications
Morris, K. A. (Principal Investigator)
1/01/11 → 31/12/15
Project: Research