2020-07-30 –, Red Track
We present Gridap, a novel finite element framework written in Julia. In the talk, we will show the software design behind the library and its application to solve a collection of well-known partial differential equations including linear, non-linear, single-field and multi-physics problems. To this end, we will consider different discretization techniques provided by the package such as continuous and discontinuous Galerkin methods with Lagrangian and Raviart-Thomas elements.
The design of Gridap is quite unique for a finite element software package since it is not a simple translation of an existing C/C++ or FORTRAN code. In contrast, the library makes use of lazy-data structures that represent objects (e.g., elemental matrices and vectors) on the entire computational domain. This allows us the library developers to hide assembly loops and other core computations from the user-code leading to a very compact, user-friendly, syntax. Gridap is designed both for research and teaching purposes. It is a registered Julia package distributed under a MIT license and it is available at Github (https://github.com/gridap/Gridap.jl) .
Francesc Verdugo, PhD, is Assistant Research Professor at the International Center for Numerical Methods in Engineering (CIMNE), Barcelona, Spain, where he collaborates at the "Large-Scale Scientific Computing" group. His main research interest is the development of advanced finite element techniques such as embedded finite element methods able to exploit the power of modern distributed-memory supercomputers.