Computational fluid dynamics (CFD) is one of the most emerging fields of fluid mechanics
used to analyze fluid flow situation. This analysis is based on simulations carried out on …

In this paper we present a fully distributed, communicator-aware, recursive, and interlevel-
overlapped message-passing implementation of the multilevel balancing domain …

This article presents a systematic quantitative performance study for large finite element
computations on extreme scale computing systems. Three parallel iterative solvers for the …

We discuss several Uzawa-type iterations as smoothers in the context of multigrid schemes
for saddle point problems. A unified framework to analyze the smoothing properties is …

Linear solvers for large and sparse systems are a key element of scientific applications, and
their efficient implementation is necessary to harness the computational power of current …

We present novel H (div) and H 1 liftings of given piecewise polynomials over a hierarchy of
simplicial meshes, based on a global solve on the coarsest mesh and on local solves on …

Fast verification for the extremely large-scale power grid is demanding as CMOS technology
advances consistently. In this work, we propose ESPSim, an efficient scalable power grid …

Fault tolerant massively parallel multigrid methods for elliptic partial differential equations
are a step towards resilient solvers. Here, we combine domain partitioning with geometric …

Due to the wide separation of time‐scales in geophysical fluid dynamics, semi‐implicit time
integrators are commonly used in operational atmospheric forecast models. They guarantee …

Large scale matrix-free finite element implementations save memory and are often
significantly faster than implementations using classical sparse matrix techniques. They are …