Bogotá - Ciencias - Maestría en Ciencias - Matemáticas · 2021
Numerical approximation of partial differential equations with MFEM library
We revise the finite element formulation for Lagrange, Raviart-Thomas, and Taylor-Hood finite element spaces. We solve Laplace equation in first and second order formulation, and compare the solutions obtained with Lagrange and Raviart-Thomas finite element spaces by changing the order of the shape functions and the refinement level of the mesh. Finally, we solve Navier-Stokes equations in a two dimensional domain, where the solution is a steady state, and in a three dimensional domain, where the system presents a turbulent behaviour. All numerical experiments are computed using MFEM library, which is also studied. (Texto tomado de la fuente)
Texto completo 67 páginas con texto
Tesauro de su biblioteca
ANALISIS NUMERICODIFERENCIACION NUMERICADifferential equationsECUACIONES DE LAGRANGEECUACIONES DE NAVIER-STOKES-SOLUCIONES NUMERICASECUACIONES DIFERENCIALESLagrange equationsLaplace transformationNavier-stokes equations - numerical solutionsNumerical analysisNumerical differentiationTRANSFORMACIONES DE LAPLACE