Current composite design processes go through expensive numerical simulations that can
quantitatively describe the detailed complex stress state embedded in the laminate structure …

This article presents a novel peridynamic algorithm to model the transient heat conduction in
two-dimensional (2-D) problems. The peridynamic method is used to solve the heat transfer …

We propose the use of highly continuous finite element spaces interconnected with low
continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly …

We show how to construct a deep neural network (DNN) expert to predict quasi-optimal hp-
refinements for a given finite element problem in presence of singularities. The main idea is …

To develop a precise and efficient computer model for predicting the heating and cooling
behaviors of laminated glass facades exposed to fire, there is an urgent need to reduce the …

Starting from a highly continuous isogeometric analysis discretization, we introduce
hyperplanes that partition the domain into subdomains and reduce the continuity of the …

In this paper we present computational cost estimates for parallel shared memory
isogeometric multi-frontal solvers. The estimates show that the ideal isogeometric shared …

In this paper we describe the history, performance, and design concepts of direct solvers for
algebraic systems resulting from Galerkin discretizations of partial differential equations …

This paper provides theoretical estimates that quantify and clarify the savings associated to
the use of element-level static condensation as a first step of an iterative solver. These …

In our work we analyze computational aspects of the problem of numerical integration in
finite element calculations and consider an OpenCL implementation of related algorithms for …