Efficient numerical solution of the generalized Dirichlet–Neumann map for linear elliptic PDEs in regular polygon domains

The generalized Dirichlet–Neumann map fo

The generalized Dirichlet–Neumann map for linear elliptic PDEs and its numerical implementation

✍ A.G. Sifalakis; A.S. Fokas; S.R. Fulton; Y.G. Saridakis 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 470 KB

A new approach for analyzing boundary value problems for linear and for integrable nonlinear PDEs was introduced in Fokas [A unified transform method for solving linear and certain nonlinear PDEs, Proc. Roy. Soc. London Ser. A 53 (1997) 1411-1443]. For linear elliptic PDEs, an important aspect of th