Utilization of wavelet concepts in finite elements for efficient solution of Maxwell's equation

Sarkar, Tapan K.; García, Lila; Salazar, Magdalena

doi:10.1109/aps.1994.407792

Cited by 4 publications

(1 citation statement)

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“…Only recently have wavelet methods been applied in areas of computational electromagnetics. The use of wavelet methods in integral equation techniques, in which the unknown response is represented in terms of shifted and dilated forms of the wavelet, has been examined [l]; and more recently wave1e:ts have been used in the finite: element solution of partial differential equations [2]. Gordon has discussed the use of waveleblike basis functioins in the finite element solution of one dimensional problems in which either Dirichlet or Neumann boundary conditions are enforced at each endpoint of the interval [3].…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of boundary value problems using wavelet-like basis functions

Harrison

Gordon

Proceedings of 28th Southeastern Symposium on System Theory

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In this paper, the use of wavelet-like basis functions in the finite element analysis of one dimensional problems in which a Dirichlet boundary condition is speciped at one boundary and a Neumann boundary condition is specijied at the other, will be presented. Construction of these types of basis functions for the mixed type boundary conditions will be discussed. The condition numbers of the resulting matrices, along with the number of steps required for convergence of the conjugate gradient solution will be presented. For comparison, results obtained @om a finite element algorithm employing traditional basis functions will also be presented.

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Section: Introductionmentioning

confidence: 99%