State-Of-The-Art
Infinite Element Methods For The Efficient Simulation
Of Exterior Acoustics
When simulating exterior acoustics using the Finite Element Method (FEM), appropriate measures are needed in order to represent the radiation of acoustic energy into the far field. In the recent past, Infinite Elements have proven to be an appealing alternative to various other approaches. Especially an improved variant of the Mapped Wave Envelope Element concept – recently developed by the authors – is currently one of the most advanced methods for both time-dependent as well as harmonic exterior acoustic simulations. This improved Infinite Element enables the efficient solution of exterior acoustic simulations using iterative solution techniques. Before, these (Krylov subspace) solvers were prone to failure, due to disadvantageous eigenvalue distributions stemming from the Infinite Elements in particular. Today, however, a family of improved and more stable Infinite Elements is publicly available as part of the high-performance open source FEM library libMesh. This library is entirely written in C++ with heavy emphasis on performance while not forsaking favourable features of object-oriented design. libMesh makes extensive use of efficient third-party libraries for the simulation and solution of FEM problems in parallel. Examples computed with this library are presented, exhibiting the high performance of both the improved Mapped Wave Envelope Elements and the open source FEM library.
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