论文信息 - Explicit energy calculation for a charged elliptical plate

Explicit energy calculation for a charged elliptical plate

Potential problems for thin elliptical plates are solved exactly with emphasis on computation of the electrostatic energy. Expansions in terms of Jacobi polynomials are used.

Paul A. Martin | P. A. Martin

[1] C. Tranter,et al. Integral Transforms in Mathematical Physics , 1971 .

[2] Paul A. Martin. ORTHOGONAL POLYNOMIAL SOLUTIONS FOR PRESSURIZED ELLIPTICAL CRACKS , 1986 .

[3] S. Krenk. Some integral relations of Hankel transform type and applications to elasticity theory , 1982 .

[4] P. A. Martin. Exact Solution of Some Integral Equations over a Circular Disc , 2006 .

[5] P. Martin,et al. Generation of internal gravity waves by an oscillating horizontal disc , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[6] S. Laurens,et al. Explicit computation of the electrostatic energy for an elliptical charged disc , 2013, Appl. Math. Lett..

[7] J. Boersma,et al. On the Solution of an Integral Equation Arising in Potential Problems for Circular and Elliptic Disks , 1993, SIAM J. Appl. Math..

[8] Paul A. Martin,et al. Generation of Internal Gravity Waves by an Oscillating Horizontal Elliptical Plate , 2012, SIAM J. Appl. Math..