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- ItemMétodos multiescala para as equações de Navier-Stokes incompressíveis(Universidade Federal do Espírito Santo, 2020-12-17) Baptista, Riedson; Catabriga, Lucia; https://orcid.org/; http://lattes.cnpq.br/4364303980383808; https://orcid.org/; http://lattes.cnpq.br/; Almeida, Regina Celia Cerqueira de; https://orcid.org/; http://lattes.cnpq.br/; Devloo, Philippe Remy Bernard; https://orcid.org/; http://lattes.cnpq.br/; Boeres, Maria Claudia Silva; https://orcid.org/; http://lattes.cnpq.br/0528154281423964; Valli, Andrea Maria PedrosaIn this work, we present a nonlinear variational multiscale finite element method to solve the incompressible Navier-Stokes equations. The method is based on a decomposition in two levels of the approximation space and the local problem is modified by int
- ItemTumor Growth Models via Phase-Field Modeling: Vascular and Mechanical aspects(Universidade Federal do Espírito Santo, 2020-06-10) Barbosa, Paulo Wander; Catabriga, Lucia; https://orcid.org/; http://lattes.cnpq.br/4364303980383808; https://orcid.org/; http://lattes.cnpq.br/; Almeida, Regina Celia Cerqueira de; https://orcid.org/; http://lattes.cnpq.br/; Santos, Isaac Pinheiro dos; https://orcid.org/; http://lattes.cnpq.br/3793156690673506; Lima, Ernesto Augusto Bueno da Fonseca; https://orcid.org/; http://lattes.cnpq.br/In this work we study tumor growth models based on mixture theory, considering two classes of continuous macroscopic models: a phenomenological and a mechanical one. The former is a hybrid multi-scale partial differential equation model describing vascula