Title :
Errors due to spatial discretization and numerical precision in the finite-element method
Author :
Scott, Waymond R., Jr.
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
11/1/1994 12:00:00 AM
Abstract :
The effects of the spatial discretization and the numerical precision on a plane wave propagating through a finite-element mesh are investigated in this work. The spatial discretization results in dispersion in the amplitude and the phase of the wave and in a non-uniform rate of convergence within an element. The finite precision in the calculations used in a finite-element code results in degraded accuracy. These errors are investigated as a function of the node density, the order of the elements, and the precision of the calculations used in the finite element code. The errors for first- through eighth-order elements are investigated both analytically and numerically
Keywords :
convergence of numerical methods; error analysis; finite element analysis; waveguide theory; FEM; amplitude dispersion; errors analysis; finite-element code; finite-element mesh; finite-element method; node density; non-uniform convergence rate; numerical precision; phase dispersion; plane wave propagation; spatial discretization; Computer errors; Convergence; Degradation; Dispersion; Equations; Finite element methods; Impedance; Polarization; Roundoff errors;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
