The presence of a few inverted or poor-quality mesh elements can negatively affect the
stability, convergence and efficiency of a finite element solver and the accuracy of the …

In this paper, we study the effect of the choice of mesh quality metric, preconditioner, and
sparse linear solver on the numerical solution of elliptic partial differential equations (PDEs) …

High quality meshes are important for the accuracy, stability, and efficiency of numerical
techniques in computational simulations involving partial differential equations (PDEs) …

Nonlocal diffusion models involve integral equations that account for nonlocal interactions
and do not explicitly employ differential operators in the space variables. Due to the …

In order to numerically solve partial differential equations (PDEs) on physical domains using
finite element (FE) techniques, discretizations of the equations and the domains are …