The Meccano Me hod o Fini e Elemen and Isogeome ic Analysis
R. Mon eneg o (1)*, J.M. Cascón(2), E. Rod íguez(1), J.M. Escoba (1),
M. B o ka(1), J.I. López(1), J. Ramí ez(1)
(1) Uni e si y Ins i u e o In elligen Sys ems and Nume ical Applica ions in Enginee ing, SIANI,
Uni e si y o Las Palmas de G an Cana ia, Las Palmas de G an Cana ia, Spain,
{ mon eneg o,e od iguez,jmescoba }@siani.es, [email p o ec ed], josei [email protected],
[email p o ec ed], h p://www.dca.iusiani.ulpgc.es/p oyec o2012-2014.
(2) Depa men o Economics and His o y o Economics, Facul y o Economics and
Managemen , Uni . o Salamanca, Spain, [email p o ec ed], h p://campus.usal.es/~sinumcc.
Abs ac
In his wo k we p esen he applica ion o he meccano me hod [1] o solid
modelling o be used in ini e elemen and isogeome ic analysis [2]. We will
show he esolu ion o ellip ic and pa abolic PDE in h ee-dimensional complex
domains.
The disc e iza ion o he solid is ob ained by cons uc ing a olume ic
pa ame e iza ion o he solid. To do ha , an adap i e e ahed al mesh o he
pa ame ic domain is isomo phically ans o med on o he solid by applying a
simul aneous mesh un angling and smoo hing p ocedu e.
In he case o isogeome ic analysis, he geome ic app oxima ion o he solid
and he nume ical solu ion ha e been accomplished by using T-splines ha
enables he local e inemen . The con ol poin s o he i a ia e T-spline a e
calcula ed by imposing he in e pola ion condi ions on poin s si ed on he inne
and he su ace o he solid, and using he olume ic pa ame e iza ion.
Th ee-dimensional isogeome ic analysis examples o complex solids a e
p esen ed. In addi ion, we compa e ini e elemen and isogeome ic solu ions
o se e al wo-dimensional examples by using local adap i e s a egies.
Re e ences
[1] R. Mon eneg o, J.M. Cascón, J.M. Escoba , E. Rod íguez, G. Mon e o, An
au oma ic s a egy o adap i e e ahed al mesh gene a ion, Applied
Nume ical Ma hema ics 59 (2009) 2203–2217.
[2] J.M. Escoba , J.M. Cascón, E. Rod íguez, R. Mon eneg o, A new app oach
o solid modeling wi h i a ia e T-splines based on mesh op imiza ion,
Compu . Me hods Appl. Mech. Eng g. 200 (2011) 3210–3222.
