Superconvergent finite element solutions of laplace and poisson equation

IEEE Transactions on Magnetics

Volumn 32, Issue 3 PART 2, 1996, Pages 643-646

  Franz, Jürgen ^a   Kasper, Manfred ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CALCULATIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; FOURIER TRANSFORMS; GREEN'S FUNCTION; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; TOPOLOGY;

LAPLACE EQUATION; PERIODIC BOUNDARY FUNCTION; POISSON EQUATION; SUPERCONVERGENCE;

ELECTROMAGNETIC FIELD THEORY;

EID: 0030142299     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.497320     Document Type: Article

References (6)

1. M. Kflzek and P. Neittaanmaki, "On superconvergence techniques,'' Ada Applicandat Matkematicae, vol. 9, pp. 175-198, 1987.
2. R. Courant and D. Hilbert, ''Methods of mathematical physics/' Springer- Verlas, vol. 2, 1968.
3. M. Kasper and J. Franz, "Highly accurate computation of field quantities and forces by superconvergence in finite elements,'' IEEE Transactions on Magnetics, vol. 31, pp. 1424-1427. May 1995.
4. P. P. Silvester and D. Omeragic, "Differentiation of finite element solutions of poisson equation," IEEE Transactions on Magnetics, vol. 29, pp. 1993-1996, March 1993.
5. T. Moan, '"Experiences with orthogonaipolyiiomialsand "best" numerical integration formulars on a triangle; with particular reference to finite element approximations," ZAMM, vol. 54, pp. 501-508, 1974.
6. A. Louis, "Acceleration of convergence for finite element solutions of the poisson equation," Numerische Mathematik, vol. 33, 110. 1, pp. 43-53. 1979.