Abstract: A computer-implemented method for modelling an object subjected to boundary conditions from an object model that defines a component by a three-dimensional boundary representing format is provided. The method includes providing boundary conditions including loads and/or constraints to the object, and providing the object model. The boundary representation of the object model is tessellated, obtaining an object tessellation. An approximate convex decomposition is applied to the object tessellation, obtaining three-dimensional cells respectively defined from each other by splitting planes. A numerical model is generated by applying a discontinuous Galerkin method to the three-dimensional cells. Determination of a load capacity, an improvement of the design, or the generation, in each case, of the component, are provided.

Abstract: Prediction of emission by a source of sound and a propagation of the sound within a surrounding medium, over a frequency range is provided. A system including the source and the surrounding medium is represented by elements e. For each element e and each frequency fi, a parameter Pe,i is associated to the element. At frequency fi, a parameter Pe,max is calculated over the frequency range. For each element e, elementary matrices Ke,max and Me,max are determined using the parameter Pe,max. For each frequency fi and for each element e, parameter Pe,i is used to determine a polynomial degree used to approximate the sound field, elementary matrices Ke,i and Me,i are extracted out of the matrices Ke,max and Me,max and are assembled into global matrices Ki and Mi. A global matrix system Zi is established based on the global matrices Ki and Mi, and the global matrix system is solved.