Deal.II Contributions

I have been contributing to the deal.II (www.dealii.org) open source library since 2004. deal.II is a C++ program library targeted at the computational solution of partial differential equations using adaptive finite elements. It uses state-of-the-art programming techniques to offer you a modern interface to the complex data structures and algorithms required. A git repository of the library is available at https://github.com/dealii/dealii My contributions are regularly included in the main deal.II repository, but if you are curious to see what I'm working on, you can find my fork at https://github.com/luca-heltai/dealii I'm constantly looking for people (postdoctoral positions, PhD students as well as Master Students) to collaborate on projects using the deal.II Library. If you are interested, do not esitate to contact me.

Arbitrary Manifold Descriptions in Finite Element Codes

One of the main advantages of using the deal.II library (www.dealii.org) when discretising partial differential equations, is the support for adaptively refined grids on high performance infrastructures. Adaptively refining a Finite Element Mesh requires adding new vertices to a triangulation.

Codimension One Discretisations

The deal.II finite element library (www.dealii.org) was originally designed to solve partial differential equations defined on one, two or three space dimensions, mostly via the Finite Element Method.In its versions prior to version 6.2, the user could not solve problems defined on curved manifolds embedded in two or three spacial dimensions

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