Abstract
The discretisation of the Laplacian results into the well-known Laplace matrix. In the case of a one dimensional problem, an explicit formula for its inverse is derived on the basis of fundamental solutions (Green’s functions) for general boundary conditions. For a linear reaction–diffusion equation, approximations of the inverse are given.
Original language | English |
---|---|
Article number | 100288 |
Number of pages | 12 |
Journal | Results in Applied Mathematics |
Volume | 15 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- Inverse matrix
- Laplace matrix
- Finite element discretisation
- Fundamental solutions