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Electrophysiology N-version benchmark - Role of spatial discretization

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\nAuthor: Aurel Neic aurel.neic@medunigraz.at\n<h2 id=\"introduction\"\

Introduction\n

The choice of discretization is of major significance for\ \ the accuracy of the numerical approximation and thus for the validity of the computed\ \ simulation results. This example allows to study the effects of changing spatial\ \ and temporal discretizations on the reproduction of a known wedge activation.\ \ The setup used here is entirely based on the N-version benchmark study due to\ \ Niederer et al <a href=\"#Niederer-Nversion\" class=\"citation\">[Niederer-Nversion].

\n\ <h2 id=\"setup\">Setup\n

Given is a wedge of 20 x 7 x 3 mm. Starting at one\ \ corner, an activation wave propagates across the wedge, arriving last at the opposite\ \ corner. The time of activation T(x) of every space-point on the line between the\ \ stimulation corner and the opposing corner is plotted. More on the specific details\ \ of this benchmark are found here <a href=\"#Niederer-Nversion\" class=\"citation\"\ [Niederer-Nversion] along with the benchmark results of the participating codes/groups.

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The original figure as used in the publication explaining this setup is shown\ \ below in fig-EP-NversionBenchmarkSetup.

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