From 0ea2624feb254ae907419fc3c01d5f7304cee2db Mon Sep 17 00:00:00 2001 From: Jan Nikl Date: Mon, 28 Jul 2025 01:21:47 -0700 Subject: [PATCH] Added description of aniso problems. --- examples/ex5-aniso.cpp | 24 +++++++++++++++++++++--- 1 file changed, 21 insertions(+), 3 deletions(-) diff --git a/examples/ex5-aniso.cpp b/examples/ex5-aniso.cpp index c7c41fbc57..d6b2fcc2d4 100644 --- a/examples/ex5-aniso.cpp +++ b/examples/ex5-aniso.cpp @@ -33,9 +33,27 @@ // are offered: // 1) sine diffusion - with the asymptotic (a -> infinity) reference // solution with the first order correction -// 2) MFEM logo convection-diffusion - random Gaussian blobs of -// conductivity and circular velocity -// with ASCII art of MFEM text as IC +// 2) MFEM text conv-diff - random Gaussian blobs of conductivity +// and circular velocity with ASCII art +// of MFEM text as IC +// 3) diffusion ring - arc segment IC diffused along circle +// 4) diffusion ring Gauss - Gaussian blobs IC diffused along circle +// 5) diffusion ring sine - sine profile in radial and angular +// direction is diffused along circle, +// analytic solution for asymptotic +// diffusion with zero radial diffusion +// 6) boundary layer - exponentially decaying boundary layer problem +// 7) steady peak - a peak profile with a constant conductivity and +// a manufactured steady-state solution +// 8) steady varying angle - a concave radial profile diffused +// along the circle with a manufactured +// steady-state solution +// 9) Sovinec problem - a sine profile with diffusion perpendicular +// to gradient of potential with a manufactured +// steady-state solution +// 10) Umansky problem - a transition profile with with diffusion +// along the interface, where the width is +// measured automatically // We discretize with Raviart-Thomas finite elements (heat flux q) // and piecewise discontinuous polynomials (temperature T). Alternatively, // the piecewise discontinuous polynomials are used for both quantities.