By J. Roychowdhury (auth.), Ursula van Rienen, Michael Günther, Dirk Hecht (eds.)
rd This e-book offers a suite of chosen contributions awarded on the three foreign Workshop on medical Computing in electric Engineering, SCEE-2000, which happened in Warnemiinde, Germany, from August 20 to 23, 2000. approximately hundred scientists and engineers from 13 international locations accumulated in Warnemiinde to take part within the convention. Rostock Univer sity, the oldest collage in Northern Europe based in 1419, hosted the convention. This workshop prior workshops held 1997 on the Darmstadt collage of expertise and 1998 at Weierstrass Institute for utilized Anal ysis and Stochastics in Berlin less than the auspices ofthe German Mathematical Society. those workshops geared toward bringing jointly medical communi ties: utilized mathematicians and electric engineers who do examine within the box of clinical computing in electric engineering. This, after all, is a large box, that is why it used to be made up our minds to pay attention to chosen significant issues. The workshop in Darmstadt, which was once geared up by means of Michael Giinther from the maths division and Ursula van Rienen from the dept of electric Engineering and data Technology,brought jointly greater than hundred scientists drawn to numerical equipment for the simulation of circuits and electromagnetic fields. This was once a very good luck. Voices coming from the individuals steered that it was once time to deliver those groups jointly so one can get to grasp one another, to debate mutual pursuits and to begin cooperative paintings. a suite of chosen contributions seemed in 'Surveys on arithmetic for Industry', Vol.8, No. 3-4 and Vol.9, No.2, 1999.
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Extra info for Scientific Computing in Electrical Engineering: Proceedings of the 3rd International Workshop, August 20–23, 2000, Warnemünde, Germany
The fields from t he source induce 48 R . OM (LOG) Figure4. The electric field at a dist an ce of 3 metr es as a function of frequ ency for three different configurat ions: th e complete set (solid line), t he set wit hout metal cover (das hed line) and the set wit hout cover bu t wit h t he met al plan e on it s back (dotted line) . cha rge and cur rent on the disc, such t hat the total parallel electric field on t he disc is zero. Due to these charges and currents the disc has a non-zero potential.
I am not convinced that the NedelecjHiptmair construction is optimal. Ideally, we would like to deal with orthogonal decompositions. Requesting HJ orthogonality (L 2-orthogonality of gradients) makes our decomposition of scalar potentials unique", p+2 _ p+l ~ -p+2 Ppe+l - Ppe+l EEl Ppe+l . 6 The condition makes sense only for p > 2. (29) Edge Finite Elements of Variable Order for Maxwell 's Equations 25 Similarly, we may request for £2 orthogonality in the second decomposition: pp+l = Pe (pP Pe ffi V(pp+2 )) Pe+1 ~ pp+l .
Demkowicz, L. Vardapetyan, " hp-Adapt ive FE Modeling for Maxwell 's Equations. Evidence of Exponential Convergence" ACES ' 99, Monterey, CA, March 16-20, 1999. 37. J . E. Karniadakis, " A New Triangular and Tetrahedral Bas is for High-Order Finite Element Methods", Int . J . Num. Meth . 3775, 1995. 38. L. D. Dissertation, The University of Texas at Austin, Austin, TX 78712, December 1999. 39. L. Vardapetyan and L. Demkowicz, "hp-Adaptive Finite Elements in Electromagnetics" , Computers Methods in Applied Mechanics and Engineering, 169 , 331-344, 1999.