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Adaptive collocation methods for the solution of partial differential equations
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Autores
Orientador(es)
Resumo(s)
An integration algorithm that conjugates a Method of Lines (MOL) strategy based on finite differences space discretizations, with a collocation strategy based on increasing level dyadic grids is presented. It reveals potential either as a grid generation procedure and a Partial Differential Equation(PDE) integration scheme. It copes satisfactorily with a example characterized by a steep travelling wave and a example that presented a forming steep shock, which demonstrates its versatility in dealing with different types of steep moving front problems, exhibiting features like advection-diffusion, widely common in the standard Chemical Processes simulation models.
Descrição
Palavras-chave
Partial differential equation Numerical methods Adaptive methods Collocation methods Dyadic grids
Contexto Educativo
Citação
Brito, Paulo; Portugal, A. (2010). Adaptive collocation methods for the solution of partial differential equations. In International Joint Conferences on Computer, Information, and Systems Sciences, and Engineering (CISSE). Bridgeport. p. 499-504. ISBN 978-90-481-9111-6
Editora
Springer