ANAP Seminar | Speaker: Maria Teresa Malheiro (CMat)

Venue: Sala de Seminários Ed.6-3.08, Campus de Gualtar, 

Online: Link  

Abstract: We introduce the compact structural schemes that considers a set of Physical Equations and Structural
Equations. The Physical Equations utilize the function and its K derivatives at a given node through
the implementation of physical relations. On the other hand, the Structural Equations are based on
linear relationships between the function and its derivatives over a stencil of R points, referred to as a
R-block, which defines full connections between a node and its neighboring nodes. These relationships
are independent of the specific physics being modeled.
After a short presentation of some structural schemes, we prove their unconditional stability and excel-
lent behaviour in terms of spectral resolution. Numerical examples will confirm the schemes ability to
provide accurate and stable solutions.

This is a joint work with S. Clain, G. J. Machado♮ and Ricardo Costa.