Possible Topics¶

Several specific topics that we wish to address in the future are listed below. If you would like to contribute code/advice to our project with respect to these topics, do not hesitate to contact us (either directly: cimrman3(at)ntc.zcu.cz, or on our mailing list)

finish/improve IGA implementation (see Isogeometric Analysis):
- support multiple patches
- efficient quadrature formulas
- local refinement?
discretization methods:
- implement vector elements (Nedelec, Raviart-Thomas, …)
- implement the discontinuous Galerkin method
material models: plasticity, viscoplasticity, damage, …
improve parallelization (see Solving Problems in Parallel):
- cluster installation with fast BLAS
- parallel code speed-up
- remove (some of) the serial parts
- preconditioning for multi-physics problems
solvers:
- better defaults/recommendations for iterative solvers (PETSc) with respect to large problems
- dynamics/time-stepping solvers, interface PETSc time-steppers
- interface more sparse linear solvers (or enable via PETSc), for example BDDCML
- interface more eigenvalue problem solvers
visualization of large data
automatic differentiation:
- for tangent matrices
- for identification of (material) parameters
core data structures & programming:
- using octree-based(?) mesh representation for local refinement
- continue with/improve the current hanging nodes implementation
- exploit lazy evaluation