<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><div></div><div>Hi Bryan,</div><div>as far as I know, this is not possible.</div><div><br></div><div><span style="background-color: rgba(255, 255, 255, 0);">> FE and FV schemes requiring at most face-neighbors</span></div><div><span style="background-color: rgba(255, 255, 255, 0);"><br></span></div><div><a href="https://www.dune-project.org/modules/dune-pdelab/">https://www.dune-project.org/modules/dune-pdelab/</a></div><div><br></div><div>The rationale is, that this limitation keeps the interface clean, the number of evaluations low and the sparsity pattern known.</div><div><br></div><div>Bye</div><div>Christoph, who struggled with this limitation already</div><div><br>Am 11.09.2018 um 04:09 schrieb Bryan Doyle <<a href="mailto:btd2@rice.edu">btd2@rice.edu</a>>:<br><br></div><blockquote type="cite"><div><div dir="ltr">Hello,<div>I am using DUNE's PDELab, and noticed that in the alpha_skeleton calls, only 2 coefficient vectors are available: x_s and x_n. This implies that only the unknowns evaluated on the self and neighbor cells are available for use in alpha_skeleton's calculations. Suppose my weak form had an integral over an edge which depended on the unknowns evaluated on cells other than the self and neighbor elements; would it be possible to implement this using PDELab?</div><div><br></div><div>As a more concrete example, assume I have a uniform square grid, with elements E_1 and E_2 which do not share an edge. Suppose I wish to calculate</div><div>\int_e u_1*u_2,</div><div>where u_1 and u_2 are the unknowns evaluated in the centers of elements E_1 and E_2, respectively, and e is some edge of E_1. Is calculating this integral possible using PDELab's alpha_skeleton function, or is there another way to do so?</div><div><br></div><div>Any advice or input would be greatly appreciated!</div><div><br></div><div>Thank you for your time,</div><div>Bryan</div></div>
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