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Séminaire Equations aux dérivées partielles

organisé par l'équipe Modélisation et contrôle

  • Teresa Malheiro Et Gaspar Machado

    R-Block structural schemes of high order accuracy

    26 mai 2026 - 14:00Salle de conférences IRMA

    We present a compact scheme whose core concept involves decomposing it into two subsystems of equations. The Physical Equations utilise the function and its K derivatives at a node by implementing physical relations. These equations operate locally, with no exchange of information with other nodes,as the physics involved are governed by local operators. The Structural Equations depend on linear relationships between the function and its derivatives across a stencil of R points, which we call a R-block, establishing complete connections between a node and its neighbours. These relationships are independent of the physics involved since they are established regardless of the specific problem. In this presentation we address in particular the accuracy and stability of these methods. Based on joint work with S. Clain, G. J. Machado and Ricardo Costa