From: Guido Kanschat Date: Tue, 2 May 2000 16:50:51 +0000 (+0000) Subject: CKPS00 X-Git-Tag: v8.0.0~20619 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=6264dd2742978efedc74696fb749bacbed666e25;p=dealii.git CKPS00 git-svn-id: https://svn.dealii.org/trunk@2784 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/doc/publications/2000/ckps.bib b/deal.II/doc/publications/2000/ckps.bib new file mode 100644 index 0000000000..e8bdf5c1f6 --- /dev/null +++ b/deal.II/doc/publications/2000/ckps.bib @@ -0,0 +1,9 @@ +@TechReport{CKPS00, + author = {Cockburn, Bernardo and Kanschat, Guido and Perugia, Ilaria and + Schötzau, Dominik}, + title = {Superconvergence of the Local Discontinuous Galerkin + Method for Elliptic Problems on Cartesian Grids}, + institution = UMSI, + year = 2000, + number = {2000/71} +} diff --git a/deal.II/doc/publications/2000/ckps.html b/deal.II/doc/publications/2000/ckps.html new file mode 100644 index 0000000000..f756027bc4 --- /dev/null +++ b/deal.II/doc/publications/2000/ckps.html @@ -0,0 +1,19 @@ + + +Abstract + +

Abstract

+ + In this paper, we present a super-convergence result for the Local +Discontinuous Galerkin method for a model elliptic problem on +Cartesian grids. We identify a special numerical flux for +which the L2-norm of the gradient and the +L2-norm of the potential are of order +k+1/2 and k+1, respectively, when tensor product +polynomials of degree at most k are used; for arbitrary +meshes, this special LDG method gives only the orders of convergence +of k and k+1/2, respectively. We present a series +of numerical examples which establish the sharpness of our theoretical +results. + + diff --git a/deal.II/doc/publications/toc.html b/deal.II/doc/publications/toc.html index 87280aaa99..d007754a0b 100644 --- a/deal.II/doc/publications/toc.html +++ b/deal.II/doc/publications/toc.html @@ -34,6 +34,21 @@

Publications in 2000

    +
  1. + Bernardo Cockburn, Guido Kanschat, Ilaria Perugia, Dominik Schötzau +
    + Superconvergence of the Local Discontinuous Galerkin + Method for Elliptic Problems on Cartesian Grids + +
    + Preprint no. 2000/71, University of Minnesota Super Computing Institute +
    + (Abstract, + BibTeX + entry) +

    +
  2. Wolfgang Bangerth