|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|4963690||1447407||2018||16 صفحه PDF||سفارش دهید||دانلود کنید|
Medium frequency heterogeneous Helmholtz problem gives rise to severe numerical challenge to Finite Element Method (FEM). An extended Variational Theory of Complex Rays (VTCR) is developed for solving this problem. Since VTCR is kind of Trefftz method, analytic solutions of governing equation need to be known a priori. But this requirement limits the application of VTCR to some specific forms of governing equations. Recently, a new computational method named weak Trefftz discontinuous Galerkin method (WTDG) is proposed to enable hybrid Finite Element method (FEM)/ Variational Theory of Complex Rays (VTCR) strategies to be developed easily in acoustics and vibrations. This hybrid method combines the advantages of FEM and VTCR to solve efficiently low frequency and medium frequency problems. This paper proposes a wave based WTDG for heterogeneous Helmholtz problem. Without knowing analytic solution of governing equation, WTDG method provides a simple and general resolution strategy for medium frequency heterogeneous Helmholtz problem.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 328, 1 January 2018, Pages 201-216