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

We present a parallel multigrid method for solving variable-coefficient elliptic partial
differential equations on arbitrary geometries using highly adapted meshes. Our method is …

A parallel geometric multigrid solver on hierarchically distributed grids is presented. Using a
tree-structure for grid distribution onto the processing entities, the multigrid cycle is …

This article studies the performance and scalability of a geometric multigrid solver
implemented within the hierarchical hybrid grids (HHG) software package on current high …

In this paper a local Fourier analysis for multigrid methods on tetrahedral grids is presented.
Different smoothers for the discretization of the Laplace operator by linear finite elements on …

Skin modeling is an ongoing research area that highly benefits from modern parallel
algorithms. This article aims at applying shape optimization to compute cell size and …

In this work, efficient block-wise multigrid solvers on semi-structured triangular grids are
presented for two-dimensional problems. They take advantage of the flexibility of triangular …

Stencils are commonly used to implement efficient on‐the‐fly computations of linear
operators arising from partial differential equations. At the same time the term “stencil” is not …

Software development for applications in computational science and engineering has
become complex in recent years. This is mainly due to the increasing parallelism and …

Many problems in computational science and engineering require the numerical solution of
partial differential equations and thus the solution of large, sparse linear systems of …