IMPROVED CONVERGENCE RATES FOR FINITE‐ELEMENT APPROXIMATIONS IN CYLINDRICAL COORDINATE GEOMETRIES

DOI10.1108/eb009977zbMath0619.65121OpenAlexW2026228945MaRDI QIDQ3756469

P. Daly

Publication date: 1983

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eb009977

zbMATH Keywords

finite element methodHelmholtz equationelectromagnetic wave propagationConvergence ratesoptical fibrescircular waveguidesazimuthal symmetrycylindrical and coaxial waveguideslinear particle accelerators

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Applications to the sciences (65Z05)

Cites Work

• An alternative high-order finite element formulation for cylindrical field problems
• Eigenvalues of Ax =  Bx with band symmetric A and B
• Triangular finite elements for the generalized Bessel equation of order m

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