کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
500357 | 863085 | 2006 | 19 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A local space–time discontinuous finite element method A local space–time discontinuous finite element method](/preview/png/500357.png)
We present a locally enriched space–time finite element method for solving hyperbolic problems with discontinuities. The space–time formulation is coupled to a standard semidiscrete finite element method. The discontinuities are captured by a space–time version of the extended finite element method, which treats arbitrary moving discontinuities. Since the discontinuities are local, the enriched space–time method is only needed around the discontinuities, which provides significant computational savings. The coupling is implemented through a weak enforcement of the continuity of the flux between the space–time and semidiscrete domains in a manner similar to discontinuous Galerkin methods. The method is illustrated through one-dimensional problems. It displays remarkable accuracy in capturing moving discontinuities, both in their amplitude and speed.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 195, Issues 13–16, 15 February 2006, Pages 1325–1343