An implicit implementation of the non-ordinary state-based peridynamics formulation for
quasi-static linearly elastic solids is presented. Emphasis is placed on assessing the …

We develop an efficient, Bayesian Uncertainty Quantification framework using a novel treed
Gaussian process model. The tree is adaptively constructed using information conveyed by …

A model for patient‐specific cardiac mechanics simulation is introduced, incorporating a 3‐
dimensional finite element model of the ventricular part of the heart, which is coupled to a …

Quadrature schemes are constructed based on moment fitting equations to integrate
polynomials over arbitrary convex/concave volumes that arise, among others, in Enriched …

Saddle point matrices of a special structure arise in optimal control problems. In this paper
we consider distributed optimal control for various types of scalar stationary partial …

The Portable, Extensible Toolkit for Scientific computing (PETSc), which focuses on the
scalable solution of problems based on partial differential equations, now incorporates new …

Effective diffusion is an important macroscopic property for assessing transport in porous
media. Numerical computations on segmented 3D CT images yield precise estimates for …

This paper presents an overview of a unified framework for finite element and spectral
element methods in 1D, 2D and 3D in C++ called Feel++. The article is divided in two parts …

In this paper, we present a multigrid technique for efficiently deforming large surface and
volume meshes. We show that a previous least-squares formulation for distortion …

We present an accurate method for the numerical integration of polynomials over arbitrary
polyhedra. Using the divergence theorem, the method transforms the domain integral into …