Eigenstructure of the equilateral triangle, Part II: The Neumann problem
2002 ◽
Vol 8
(6)
◽
pp. 517-539
◽
Keyword(s):
Lame's formulas for the eigenvalues and eigenfunctions of the Laplacian with Neumann boundary conditions on an equilateral triangle are derived using direct elementary mathematical techniques. They are shown to form a complete orthonormal system. Various properties of the spectrum and nodal lines are explored. Implications for related geometries are considered.
2004 ◽
Vol 2004
(16)
◽
pp. 807-825
◽
2004 ◽
Vol 2004
(9)
◽
pp. 777-792
◽
1988 ◽
Vol 40
(2)
◽
pp. 502-512
◽
2019 ◽
Vol 38
(3)
◽
pp. 79-96
◽
1999 ◽
Vol 129
(2)
◽
pp. 319-329
◽
2018 ◽
Vol 224
◽
pp. 04013
◽
Keyword(s):
2020 ◽
Vol 28
(2)
◽
pp. 237-241