Trefethen (2000) discusses techniques for tensor-product geometry, including eigenvalue problems and problems posed on a disk. Both Iserles (1996) and Morton & Mayers (2005) discuss finite differences at curved boundaries and present introductions to the finite element method in two dimensions.
- Trefethen, L. N. (2000). Spectral Methods in MATLAB. SIAM.
- Iserles, A. (1996). A First Course in the Numerical Analysis of Differential Equations. Cambridge University Press.
- Morton, K. W., & Mayers, D. F. (2005). Numerical Solution of Partial Differential Equations: An Introduction (Second). Cambridge University Press.