Adaptive multiresolution approach for solution of hyperbolic PDEs

• Tipo: Artigo em Revista Científica Internacional
• Data: 2002

Autores

Alves, MA (Autor) FEUP; Cruz, P (Autor) Outra; Mendes, A (Autor) FEUP; Magalhaes, FD (Autor) FEUP; Pinho, FT (Autor) FEUP; Oliveira, PJ (Autor) Outra

Revista

Título: Computer Methods in Applied Mechanics and Engineering

Vol. 191 Nº 36

Páginas: 3909-3928

ISSN: 0045-7825

Editora: Elsevier

Indexação

ISI Web of Knowledge - 25 Citações

ISI Web of Science

Scopus - 26 Citações

COMPENDEX

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Outras ciências da engenharia e tecnologias

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia mecânica

Outras Informações

ID Authenticus: P-000-R0N

DOI: 10.1016/s0045-7825(02)00334-1

Abstract (EN): This paper establishes an innovative and efficient multiresolution adaptive approach combined with high-resolution methods, for the numerical solution of a single or a system of partial differential equations. The proposed methodology is unconditionally bounded (even for hyperbolic equations) and dynamically adapts the grid so that higher spatial resolution is automatically allocated to domain regions where strong gradients are observed, thus possessing the two desired properties of a numerical approach: stability and accuracy. Numerical results for five test problems are presented which clearly show the robustness and cost effectiveness of the proposed method.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 20