The FEniCS project is a research and software project aimed at creating mathematical methods and software for solving partial differential equations. This includes creating intuitive, efficient and ...

"Import all of the functions from the DOLFIN library. The DOLFIN library contains all of the C++ classes required for finite element computing. Importing dolfin allows access to these libraries in ...

This article shows how to use a powerful Python library FEniCS to solve partial differential equations. As an example it optimizes a water level sensor consisting of a cylinder with spiraling metal ...

ABSTRACT: In shape optimization, we often seek to optimize the shape of a domain in order to achieve a goal. For example, the sound of a drum depends on the shape of its membrane, via the eigenvalues ...

Then the FEniCS code is shown that solves the Laplace equation and calculates the capacitance. The further numeric experiments show that there is an optimal combination of the spiral frequency and the ...

Keywords: RBniCS, reduced basis, reduced order models, proper orthogonal decomposition, parametrized problems, FEniCS RBniCS (freely available under the GNU LGPL ...

Abstract: FEniCS is a set of software tools that allows for rapid implementation of expressions associated with finite-element analysis. The main interface for FEniCS is DOLFIN, which provides both ...