A strategy to build the next generation of fluid dynamics solvers able to fully benefit from high-
performance computing is discussed. The procedure relies on a domain decomposition of …

Sparse matrixlization, an innovative programming style for MATLAB, is introduced and used
to develop an efficient software package, iFEM, on adaptive finite element methods. In this …

Automatic mesh generation and adaptive refinement methods for complex three‐
dimensional domains have proven to be very successful tools for the efficient solution of …

Large-Eddy Simulations (LES) and Direct Numerical Simulation (DNS) are applied to the
analysis of a swirl burner operated with a lean methane–air mixture and experimentally …

This is a survey on the theory of adaptive finite element methods (AFEM), which are
fundamental in modern computational science and engineering. We present a self …

A mesh is a discretization of a geometric domain into small simple shapes, such as triangles
or quadrilaterals in two dimensions and tetrahedra or hexahedra in three. Meshes find use …

We present new techniques for generation of unstructured meshes for geometries specified
by implicit functions. An initial mesh is iteratively improved by solving for a force equilibrium …

Adaptive refinement has proved to be a useful tool for reducing the size of the linear system
of equations obtained by discretizing partial differential equations. We consider techniques …

In this paper we introduce 4–8 subdivision, a new scheme that generalizes the four-
directional box spline of class C 4 to surfaces of arbitrary topological type. The crucial …

The implementation of hp hp-adaptivity is challenging as hanging nodes, edges, and faces
have to be constrained to ensure compatibility of the shape functions. For this reason, most …