The present note deals with hyperbolic problems involving 3D scalar fields (scalar wave problems) modeled by integral equations and numerically approximated via Boundary Element Methods. Space-time collocation schemes as well as energetic weak forms are consid- ered. Space discretization is made of trapezoidal (flat) tessellation of the boundary, adopting polynomial test and shape functions of arbitrary degree. Time marching schemes make use of polynomial test and shape functions of arbitrary degree in time.
3D BEM FOR THE SCALAR WAVE PROBLEM
TEMPONI, Alessandro;SALVADORI, Alberto;CARINI, Angelo
2011-01-01
Abstract
The present note deals with hyperbolic problems involving 3D scalar fields (scalar wave problems) modeled by integral equations and numerically approximated via Boundary Element Methods. Space-time collocation schemes as well as energetic weak forms are consid- ered. Space discretization is made of trapezoidal (flat) tessellation of the boundary, adopting polynomial test and shape functions of arbitrary degree. Time marching schemes make use of polynomial test and shape functions of arbitrary degree in time.File in questo prodotto:
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