In this article we investigate the application of high order approximation techniques to one-dimensional boundary layer problems. In particular, we use second order differential equations and coupled second order differential equations as case studies. The accuracy and convergence rate of numerical solution obtained with Lagrange, Hermite, B-spline finite elements and C¥ generalized finite elements is assessed against analytical solutions
Benchmarking high order finite element approximations for one-dimensional boundary layer problems
MALAGU', Marcello;BENVENUTI, Elena;
2013
Abstract
In this article we investigate the application of high order approximation techniques to one-dimensional boundary layer problems. In particular, we use second order differential equations and coupled second order differential equations as case studies. The accuracy and convergence rate of numerical solution obtained with Lagrange, Hermite, B-spline finite elements and C¥ generalized finite elements is assessed against analytical solutionsFile in questo prodotto:
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