heat-spectral
2016-08-23
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This is a numerical code built to solve time-dependent PDE problems through the spectral method SEM-NI.
The project starts from a pre-existing SEM-NI code, written to solve elliptic problems with domain decomposition. Our pourpose is to simplify the software, removing the possibility to work in a multidomain framework, but implementing new routines, in order to solve parabolic problems too.
The software works on rectangular domains, uses structured grids and it is possible to impose Dirichlet and also Neumann non-homogeneus boundary conditions. The core of the time-advancing scheme is the so said theta-method which, through a relaxation parameter, allows several finite-difference schemes to solve the problem in time. Actually, this way of proceeding allows either explicit and implicit solvers.
Besides the numerical effort, the software contains various scrip
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