Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras, Universidad de Sevilla. TEP245: Ingeniería de las Estructuras
المصدر:
idUS. Depósito de Investigación de la Universidad de Sevilla instname
This paper proposes a novel boundary element approach formulated on the Bézier-Bernstein basis to yield a geometry-independent field approximation. The proposed method is geometrically based on both computer aid design (CAD) and isogeometric analysis (IGA), but field variables are independently approximated from the geometry. This approach allows the appropriate approximation functions for the geometry and variable field to be chosen. We use the Bézier–Bernstein form of a polynomial as an approximation basis to represent both geometry and field variables. The solution of the element interpolation problem in the Bézier–Bernstein space defines generalised Lagrange interpolation functions that are used as element shape functions. The resulting Bernstein–Vandermonde matrix related to the Bézier–Bernstein interpolation problem is inverted using the Newton-Bernstein algorithm. The applicability of the proposed method is demonstrated solving the Helmholtz equation over an unbounded region in a two-and-a-half dimensional (2.5D) domain Ministerio de Economía y Competitividad BIA2016-75042-C2-1-R Fondos FEDER POCI-01-0247-FEDER-017759
