Electromagnetics via the Taylor-Galerkin finite element method on unstructured grids
- Lawrence Livermore National Lab., Livermore, CA (United States)
- George Washington Univ., DC (United States)
- Naval Research Lab., Washington, DC (United States)
Traditional techniques for computing electromagnetic solutions in the time domain rely on finite differences. These so-called FDTD (finite-difference time-domain) methods are usually defined only on regular lattices of points and can be too restrictive for geometrically demanding problems. Great geometric flexibility can be achieved by abandoning the regular latticework of sample points and adopting an unstructured grid. An unstructured grid allows one to place the grid points anywhere one chooses, so that curved boundaries can be fit with ease and local regions in which the field gradients are steep can be selectively resolved with a fine mesh. In this paper we present a technique for solving Maxwell's equations on an unstructured grid based on the Taylor-Galerkin finite-element method. We present several numerical examples which reveal the fundamental accuracy and adaptability of the method. Although our examples are in two dimensions, the techniques and results generalize readily to 3D. 31 refs., 12 figs.
- OSTI ID:
- 7004582
- Journal Information:
- Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 110:2; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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99 GENERAL AND MISCELLANEOUS
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CALCULATION METHODS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
ELECTROMAGNETIC FIELDS
EVALUATION
FINITE DIFFERENCE METHOD
FINITE ELEMENT METHOD
ITERATIVE METHODS
MESH GENERATION
NUMERICAL SOLUTION
SIMULATION