The computational methods currently used in physics are based on the discretization of
differential equations. This is because the computer can only perform algebraic operations …

In this paper, the Discontinuous Cell Method (DCM) is formulated with the objective of
simulating cohesive fracture propagation and fragmentation in homogeneous solids without …

The simultaneous use of a pair of complementary discrete formulations for electrostatic
boundary value problems (BVPs) allows to accurately compute electromagnetic quantities …

One of the most important alterations that occur in man and experimental animals during
spaceflight concerns the skeletal system, and entails important bone loss and degradation of …

In this study, the problem of finding the complete trajectory of propagation and the limiting
load in plates with internal straight cracks is extended to the non-linear field. In particular …

Densitometry is considered to be the gold standard in bone quality assessment. However,
since its introduction, the medical community has been aware that mineral density is only …

Bone tissue is a complex multi-scale material and its morphological and functional
characteristics are influenced during one's life by constant changes, physiological and …

The Cell Method (CM) is a computational tool that maintains critical multidimensional
attributes of physical phenomena in analysis. This information is neglected in the differential …

Abstract Finite Element, Boundary Element, Finite Volume, and Finite Difference Analysis
are all commonly used in nearly all engineering disciplines to simplify complex problems of …

The time independent Schrödinger equation stems from quantum theory axioms as a partial
differential equation. This work aims at providing a novel discrete geometric formulation of …