MA-Artigos
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Development of an epigenetic age predictor for costal cartilage with a simultaneous somatic tissue differentiation system
(Elsevier, 2023)Age prediction from DNA has been a topic of interest in recent years due to the promising results obtained when using epigenetic markers. Since DNA methylation gradually changes across the individual’s lifetime, prediction ... -
Mathematical perspective on XFEM implementation for models involving contribution on interfaces
(Elsevier, 2024)Models involving interfaces with discontinuities or even singularities of some fields across them are very frequent in real life problems modelling. In the last decades, the use of the eXtended Finite Element Method (XFEM) ... -
Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentias and finite elements
(American Mathematical Society, 2021)When solving 2D linear elastodynamic equations in homogeneous isotropic media, a Helmholtz decomposition of the displacement field decouples the equations into two scalar wave equations that only interact at the boundary. ... -
Solving 2D Linear Isotropic Elastodynamics by Means of Scalar Potentials: A New Challenge for Finite Elements
(Springer, 2018)In this work we present a method for the computation of numerical solutions of 2D homogeneous isotropic elastodynamics equations by solving scalar wave equations. These equations act on the potentials of a Helmholtz ... -
Mathematical aspects of variational boundary integral equations for time dependent wave propagation
(Rocky Mountain Mathematics Consortium, 2017)In this work, we provide a review of recent results on the mathematical analysis of space-time variational bilinear forms associated to transient boundary integral operators for the wave equation. Most of the results ...