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FDTD is a systematic approach. With FDTD, specifying a new structure to be modeled is reduced to a problem of mesh generation rather than the potentially complex reformulation of an integral equation. For example, FDTD requires no calculation of structure-dependent Green functions. [4]
Mesh analysis (or the mesh current method) is a circuit analysis method for planar circuits. Planar circuits are circuits that can be drawn on a plane surface with no wires crossing each other. A more general technique, called loop analysis (with the corresponding network variables called loop currents ) can be applied to any circuit, planar or ...
In statistical physics and thermodynamics, the Maxwell construction is a method for addressing the physically unrealistic aspects of certain models of phase transitions. Named for physicist James Clerk Maxwell , it considers areas of regions on phase diagrams .
The most common numerical approach is to discretize ("mesh") the problem space in terms of grids or regular shapes ("cells"), and solve Maxwell's equations simultaneously across all cells. Discretization consumes computer memory, and solving the relevant equations takes significant time.
However, most problems in electronic design automation (EDA) are open problems, also called exterior problems, and since the fields decrease slowly towards infinity, these methods can require extremely large N. The second class of methods are integral equation methods which instead require a discretization of only electromagnetic field sources ...
The adaptive method is referred to as ‘h’ method if mesh refinement is used, ‘r’ method if the number of grid point is fixed and not redistributed and ‘p’ if the order of solution scheme is increased in finite-element theory. The multi dimensional problems using the equidistribution scheme can be accomplished in several ways.
p-FEM or the p-version of the finite element method is a numerical method for solving partial differential equations.It is a discretization strategy in which the finite element mesh is fixed and the polynomial degrees of elements are increased such that the lowest polynomial degree, denoted by , approaches infinity.
Sample Coons patch. In mathematics, a Coons patch, is a type of surface patch or manifold parametrization used in computer graphics to smoothly join other surfaces together, and in computational mechanics applications, particularly in finite element method and boundary element method, to mesh problem domains into elements.