We consider multiphysics applications from algorithmic and architectural perspectives,
where “algorithmic” includes both mathematical analysis and computational complexity, and …

Obtaining the eigenvalues and eigenvectors of large matrices is a key problem in electronic
structure theory and many other areas of computational science. The computational effort …

The deal.II library, Version 9.2 Skip to content Should you have institutional access? Here's how
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The FEniCS Project is a collaborative project for the development of innovative concepts
and tools for automated scientific computing, with a particular focus on the solution of …

Abstract deal. II is a state-of-the-art finite element library focused on generality, dimension-
independent programming, parallelism, and extensibility. Herein, we outline its primary …

We present ADIOS 2, the latest version of the Adaptable Input Output (I/O) System. ADIOS 2
addresses scientific data management needs ranging from scalable I/O in supercomputers …

Firedrake is a new tool for automating the numerical solution of partial differential equations.
Firedrake adopts the domain-specific language for the finite element method of the FEniCS …

In this paper, we consider phase-field based fracture propagation in elastic media. The main
purpose is the development of a robust and efficient numerical scheme. To enforce crack …

Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …

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