We present a time-explicit discontinuous Galerkin (DG) solver for the time-domain acoustic
wave equation on hybrid meshes containing vertex-mapped hexahedral, wedge, pyramidal …

We apply the concept of an M-decomposition in the framework of steady-state diffusion
problems to construct local spaces defining superconvergent hybridizable discontinuous …

In this article, we present an algorithm to construct high‐order fully symmetric cubature rules
for tetrahedral and pyramidal elements, with positive weights and integration points that are …

The stability, robustness, accuracy, and efficiency of space-time finite element methods
crucially depend on the choice of approximation spaces for test and trial functions. This is …

We present a systematic construction of finite element exact sequences with a commuting
diagram property for the de Rham complex in one-, two-, and three-space dimensions. We …

Divergence-conforming hierarchical vector bases for the pyramid consist of face-and volume-
based functions obtained by a simple procedure that uses a new paradigm recently …

Advanced applications of the finite-element method use hybrid meshes of differently shaped
elements that need transition cells between quadrilateral-and triangular-faced elements …

A construction for high order continuous finite elements on partitions consisting of
tetrahedra, hexahedra and pyramids based on polynomial Bernstein-Bézier shape functions …

The use of pyramid elements is crucial to the construction of efficient hex-dominant meshes
M. Bergot, G. Cohen, and M. Duruflé, J. Sci. Comput., 42 (2010), pp. 345--381. For …

We study finite elements of arbitrarily high‐order defined on pyramids for discontinuous
Galerkin methods. We propose a new family of high‐order pyramidal finite elements using …