]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
CKPS00
authorguido <guido@0785d39b-7218-0410-832d-ea1e28bc413d>
Tue, 2 May 2000 16:50:51 +0000 (16:50 +0000)
committerguido <guido@0785d39b-7218-0410-832d-ea1e28bc413d>
Tue, 2 May 2000 16:50:51 +0000 (16:50 +0000)
git-svn-id: https://svn.dealii.org/trunk@2784 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/doc/publications/2000/ckps.bib [new file with mode: 0644]
deal.II/doc/publications/2000/ckps.html [new file with mode: 0644]
deal.II/doc/publications/toc.html

diff --git a/deal.II/doc/publications/2000/ckps.bib b/deal.II/doc/publications/2000/ckps.bib
new file mode 100644 (file)
index 0000000..e8bdf5c
--- /dev/null
@@ -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 (file)
index 0000000..f756027
--- /dev/null
@@ -0,0 +1,19 @@
+<html>
+<head>
+<title>Abstract</title>
+<body>
+<h1>Abstract</h1>
+
+ 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 <em>special</em> numerical flux for
+which the <em>L<sup>2</sup></em>-norm of the gradient and the
+<em>L<sup>2</sup></em>-norm of the potential are of order
+<em>k+1/2</em> and <em>k+1</em>, respectively, when tensor product
+polynomials of degree at most <em>k</em> are used; for arbitrary
+meshes, this special LDG method gives only the orders of convergence
+of <em>k</em> and <em>k+1/2</em>, respectively.  We present a series
+of numerical examples which establish the sharpness of our theoretical
+results.
+</body>
+</html>
index 87280aaa994a90b2be8f68495d9ab3ef8871f232..d007754a0b0341227d7fd8315c94ca16f9ded6ea 100644 (file)
     <h3>Publications in 2000</h3>
 
     <ol>
+    <li> <p>
+         Bernardo Cockburn, <a href="http://gaia.iwr.uni-heidelberg.de/~kanschat"
+        target="_top">Guido Kanschat</a>, Ilaria Perugia, Dominik Sch&ouml;tzau
+        <br>
+        <strong>Superconvergence of the Local Discontinuous Galerkin
+                  Method for Elliptic Problems on Cartesian Grids
+        </strong>
+        <br>
+        Preprint no. 2000/71, University of Minnesota Super Computing Institute
+        <br>
+        (<a href="http:2000/ckps.html" target="body">Abstract</a>,
+         <a href="2000/ckps.bib" target="body">BibTeX
+         entry</a>)
+        </p> 
+
     <li> <p>
          <a href="http://gaia.iwr.uni-heidelberg.de/~wolf"
          target="_top">Wolfgang Bangerth</a>

In the beginning the Universe was created. This has made a lot of people very angry and has been widely regarded as a bad move.

Douglas Adams


Typeset in Trocchi and Trocchi Bold Sans Serif.