Iqbal_HeriotWatt.pdf (677.85 kB)
High-order finite elements for efficient solution of transient heat diffusion problems with sharp thermal gradients
conference contribution
posted on 2021-05-13, 13:18 authored by M. Iqbal, K Christodoulou, H. Gimperlein, M.S. Mohamed, O. LaghroucheThis work studies time stepping schemes for high-order finite elements applied to time-dependent heat
diffusion problems with sharp gradients. As a test case p-version finite elements in space are used to capture
the sharp thermal variations of the solution. Numerical results investigate the accuracy and limitations
of backward Euler and Crank-Nicolson time stepping schemes for high polynomial orders in space. The
results inform future work on high-order time discretizations for enriched finite element discretizations,
which use non-polynomial basis functions to resolve nonsmooth features.
History
School
- Science
Department
- Mathematical Sciences