We consider the initial boundary value problem for the homogeneous heat equation, with homogeneous Dirichlet boundary conditions. By the maximum principle the solution is nonnegative for positive time if the initial data are nonnegative. We study to what extent this property carries over to some piecewise linear finite element discretizations, namely the Standard Galerkin method, the Lumped Mas...

Background and Objective: Cerebral Arteriovenous Malformation (CAVM) hemodynamic is disease condition, results changes in the flow and pressure level in cerebral blood vessels. Measuring flow and pressure without catheter intervention along the vessel is big challenge due to vessel bifurcations/complex bifurcations in Arteriovenous Malformation patients. The vessel geometry in CAVM patients are...

Abstract A simple method is proposed to model the open cracked beam structures. In this method, crack is modeled as a beam element. Hence cracked beam can be assumed to be a beam with stepped cross sections, and problem of determining natural frequency and mode shape of cracked beam, can be solved as determining these characteristics for a beam with different length and cross section. With this...

AfMtmct-Kuroda’s identities, wfdch are used in anafysfs and syntheafs of dfatributed transndssion ffne cirad~ may be appfied to mixed lumped and distributed ChCUitS. It is ShOWO that circuits COOSfStiOg Of ca.vcade connections of lumped reactance and nnfform tranandssion Ifnea are equivalent to circuits consisting of a cascade connection of nomndform transmission Iiie-aj lumped reactancq and id...