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SUMMARY:Empirical Interscale Finite Element Method (EIFEM): a data-driven 
 multiscale framework for nonlinear heterogeneous structures
DTSTART:20251120T153000
DTEND:20251120T161500
DTSTAMP:20260920T220200Z
UID:1358c9f84d82288371689e004eb3df48bb9ce8ec76428f89fa4a116d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Joaquín A. Hernández (CIMNE\, Universitat Politècnica de C
 atatlunya\, Barcelona)\nThe Empirical Interscale Finite Element Method (EI
 FEM) is a data-driven multiscale approach for efficient simulation of nonl
 inear heterogeneous and architected materials. It integrates domain decomp
 osition\, reduced-order modeling\, and hyperreduction to connect fine- and
  coarse-scale responses with high accuracy.\n\nEach subdomain displacement
  is split into interface-induced and orthogonal nonlinear “bubble” com
 ponents\, the latter serving as internal coarse degrees of freedom. These 
 are parametrized by linear or nonlinear expansions (e.g.\, POD or neural-n
 etwork-based). EIFEM uses a three-field variational formulation with Local
 ized Lagrange Multipliers\, where user-defined interface modes act as coar
 se-scale boundary DOFs. This formulation establishes a direct mapping betw
 een coarse displacements and fine stresses\, removing the need for FE²-ty
 pe nested iterations and ensuring compatibility with standard FEM codes.\n
 \nComputational efficiency is achieved through the Continuous Empirical Cu
 bature Method (CECM)\, which builds sparse integration rules for accurate 
 reduced integration. Applications to nonlinear beams and metamaterial latt
 ices demonstrate over three orders-of-magnitude reduction in unknowns and 
 integration points while preserving strain-energy errors below 1%.
LOCATION:CM 1 106 https://plan.epfl.ch/?room==CM%201%20106
STATUS:CONFIRMED
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