Space-Time Finite Elements For 1D Heat Equation
Solution of a transient heat problem
An alternate method to model transient PDEs, where time is considered as a dimension, in contrast to the conventional transient FEM, where the space is discretized and a time intrgration scheme is applied. Thus, the 1D problem becomes 2D, and the shape functions are a tensor product of space and time. This approach is advntegous for its exponential convergence in time (when using high order shape functions), the ability to perform local time refinement, etc.
Mahmoud Ammar
M.Sc. Computational Mechanics
My research interests include numerical analysis, computational fluid dynamics and finite element method.