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<p class="MsoNormal"><span style="font-size:11.0pt">I am solving the signed distance equation<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">\frac{\partial \phi}{\partial t} + sign (\phi_{0})(|\nabla \phi| - 1) = 0<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">using a Local Discontinuous Galerkin (LDG) method as described in
<a href="https://www.sciencedirect.com/science/article/pii/S0021999110005255">https://www.sciencedirect.com/science/article/pii/S0021999110005255</a><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">I am interested in solving it close to steady state. I was hoping I could measure how close to steady state the solution is by using the TSSetEventHandler infrastructure, but the handler does not have information
on the time derivative. I looked at TSPSEUDO, but it forces me to use an implicit method, which I cannot provide because how the LDG method works (it calculates the fluxes solving additional equations). This makes me wonder if the LDG method is the best choice,
so I am open to suggestions.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Given my current progress with the LDG approach, I am wondering if there is a way to solve to steady state using explicit algorithms such as Runge-Kutta.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Thanks<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Miguel<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Consolas;color:black">Miguel A. Salazar de Troya</span><span lang="ES" style="font-size:10.5pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Consolas;color:black">Postdoctoral Researcher, Lawrence Livermore National Laboratory</span><span style="font-size:10.5pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Consolas;color:black">B141</span><span style="font-size:10.5pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Consolas;color:black">Rm: 1085-5</span><span style="font-size:10.5pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Consolas;color:black">Ph: 1(925) 422-6411</span><o:p></o:p></p>
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