Re: How to plot divergence of gradient as contour plot

*To*: mathgroup at smc.vnet.net*Subject*: [mg124029] Re: How to plot divergence of gradient as contour plot*From*: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>*Date*: Fri, 6 Jan 2012 04:17:03 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hi, Szymon, In principle there is a special package, VectorAnalysis for that, but in this case it may be faster to make it "by hands". If I understand you right, you would like to make 2D vector operations. Let us first define the 2D gradient and divergence: grad[f_] := {D[f, x], D[ f, y]}; div[{f_, g_}] := D[f, x] + D[ g, y]; and now define your function and plot. Try this: f = div[grad[Sin[x + y]]]; ContourPlot[f, {x, -5, 5}, {y, -5, 5}] Hope this helps. Have fun. Alexei Hello there, I am concerning to plot something like that. ContourPlot[Divergence[Gradient[Sin[x + y]]], {x, -5, 5}, {y, -5, 5}] Plotting divergence of gradient scalar field. How can I manage to do that? Best regards, Szymon Roziewski Alexei BOULBITCH, Dr., habil. IEE S.A. ZAE Weiergewan, 11, rue Edmond Reuter, L-5326 Contern, LUXEMBOURG Office phone : +352-2454-2566 Office fax: +352-2454-3566 mobile phone: +49 151 52 40 66 44 e-mail: alexei.boulbitch at iee.lu<mailto:alexei.boulbitch at iee.lu>

**Follow-Ups**:**Re: How to plot divergence of gradient as contour***From:*Murray Eisenberg <murray@math.umass.edu>