1992 · 42 citations · 0 references
ComputingComputer ScienceElectrical EngineeringComputational ElectromagneticsComputational PhysicsScientific ComputingFinite Difference MethodsFinite Difference Time Domain AnalysisMaxwell's EquationsMesh GenerationNumerical AlgorithmsNumerical Methods For Differential EquationsAccuracyDiscretization Of Maxwell's EquationsFinite Difference SchemesFinite Difference Time Domain ModelingFinite Difference Time Domain SimulationMemory Storage Capacity
A solution based on the fourth-order scheme is developed which reduces the drawbacks to the finite-difference time-domain (FDTD) approach for solving Maxwell's equations. The 4*4 scheme is shown to have a heavier formulation than the 2*2 scheme, but it gives approximately the same results with a mesh twice as coarse as that of the latter. In 3-D, the saving in memory storage is about a factor of eight, and the number of operations is increased by four. With the same accuracy the 4*4 scheme is therefore faster than the 2*2.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>