Laplace’s equation in the exterior of a convex polygon. The equilateral triangle
DOI10.1090/S0033-569X-2010-01168-XzbMath1214.35013OpenAlexW2031172771MaRDI QIDQ3071046
Athanassios S. Fokas, George Dassios, Antonios Charalambopoulos
Publication date: 31 January 2011
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/journals/qam/2010-68-04/S0033-569X-2010-01168-X/home.html
Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)
Related Items (1)
Cites Work
- An analytical method for linear elliptic PDEs and its numerical implementation
- The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation
- A Riemann-Hilbert approach to the Laplace equation
- Two–dimensional linear partial differential equations in a convex polygon
- A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon
- The Fundamental Differential Form and Boundary-Value Problems
- A unified transform method for solving linear and certain nonlinear PDEs
- On a transform method for the Laplace equation in a polygon
- The basic elliptic equations in an equilateral triangle
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