EVENTO
HIGH ORDER SPACE-TIME DISCRETIZATIONS FOR BIOTS CONSOLIDATION PROBLEM
Tipo de evento: Exame de Qualificação
WE PROPOSE A NEW MIXED HYBRID DISCONTINUOUS GALERKIN METHOD FOR BIOT'S CONSOLIDATION PROBLEM.THE METHOD IS ARBITRARILY HIGH ORDER IN SPACE AND TIME, AND THE NEW TIME DISCRETIZATION SCHEME IS APPLICABLE TOANY OTHER TIME-DEPENDENT PROBLEM. THE DISCRETIZATION IN SPACE CONSISTS OF A MIXED PROBLEM IN THREE MAINUNKNOWNS: DISPLACEMENT, PORE PRESSURE AND HYDROSTATIC PRESSURE, BEING THE LATTER INTRODUCED MAINLY FOR THEPURPOSE OF GENERATING A LOCKING-FREE METHOD. THE HYBRIDIZATION IS MADE THROUGH THE INSERTION OF CONTINUOUSOR DISCONTINUOUS LAGRANGE MULTIPLIERS IDENTIFIED WITH THE TRACE OF THE DISPLACEMENT AND PORE PRESSURE FIELDSAT THE SKELETON OF THE MESH (WHICH CAN BE CURVED). OUR ANALYSIS IN SPACE HANDLES REDUCED ORDER DISCONTINUOUSLAGRANGE MULTIPLIERS, WHICH ARE POSSIBLE WITH AN USE OF PROJECTION OPERATORS. FOR THE DISCRETIZATION IN TIME,WE GENERALIZE THE SECOND ORDER CONVERGENT CRANK-NICOLSON SCHEME TO THE ARBITRARY ORDER CONVERGENT MSTSSCHEME, WHICH IS AN IMPLICIT MULTI-STEP TWO-STAGE METHOD THAT IS ALSO UNCONDITIONALLY STABLE. THE NUMERICALANALYSIS OF THE SCHEME IS IN PROGRESS, BUT WE PRESENT PARTIAL RESULTS. NUMERICAL EXPERIMENTS ARE PERFORMED TOSHOW THE OPTIMAL CONVERGENCE RATES IN SPACE AND TIME, THE LOCKING-FREE PROPERTY OF THE SPACE DISCRETIZATIONAND THE UNCONDITIONAL STABILITY OF THE TIME DISCRETIZATION.Para assistir acesse: https://us02web.zoom.us/j/86495264297?pwd=VnhYeDYzQlRqbGNSR25tc0J2N2Z5Zz09
Data Início: 25/06/2021 Hora: 14:00 Data Fim: 25/06/2021 Hora: 17:00
Local: LNCC - Laboratório Nacional de Computação Ciêntifica - Webinar
Aluno: Ismael de Souza Ledoino - Laboratório Nacional de Computação Científica - LNCC
Orientador: Abimael Fernando Dourado Loula - Laboratório Nacional de Computação Científica - LNCC
Participante Banca Examinadora: Alexandre Loureiro Madureira - Laboratório Nacional de Computação Científica - LNCC Eduardo Gomes Dutra do Carmo - Universidade Federal do Rio de Janeiro - UFRJ João Nisan Correia Guerreiro - Laboratório Nacional de Computação Científica - LNCC Maicon Ribeiro Correa - Universidade Estadual de Campinas - UNICAMP
Suplente Banca Examinadora: Sandra Mara Cardoso Malta - Laboratório Nacional de Computação Científica - LNCC
