<div dir="ltr"><div id="gmail-:pq" class="gmail-Ar gmail-Au gmail-Ao" style="display:block"><div id="gmail-:pu" class="gmail-Am gmail-aiL gmail-Al editable gmail-LW-avf gmail-tS-tW gmail-tS-tY" aria-label="Corpo del messaggio" role="textbox" aria-multiline="true" style="direction:ltr;min-height:199px" tabindex="1" aria-controls=":1pi" aria-expanded="false">Dear all,<div dir="auto"><br></div><div dir="auto">We remind you <b>today</b>'s<b> </b>appointment of the series of seminars "Insalate di Matematica".</div><div dir="auto">Here are the details:</div><div dir="auto"><br></div><div dir="auto"><u>Speaker</u>: <i>Chiara Perinati</i> (Università degli Studi di Pavia)<br></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><span style="color:rgb(0,0,0)"><u>Date and time</u>: <b>14th of February 2024, </b></span><span style="color:rgb(153,0,0)"><b><span style="background-color:rgb(255,217,102)">2:00</span></b></span><span style="color:rgb(0,0,0)"><b> pm (CET)</b></span></div></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><font color="#000000"><u>Title</u>: <span style="background-color:rgb(255,229,153)">"</span></font><span style="color:rgb(0,0,0);background-color:rgb(255,229,153)">A quasi-Trefftz discontinuous Galerkin method for the diffusion-advection-reaction equation with piecewise-smooth coefficients</span><font color="#000000"><span style="background-color:rgb(255,229,153)">"</span></font></div><br></div><div dir="auto"><div dir="auto"><font color="#000000"><u>Abstract</u>:</font> Trefftz schemes are high-order Galerkin methods whose discrete functions
are elementwise exact solutions of the underlying PDE. When the
equation has varying coefficients, exact solutions are generally
unavailable, making the construction of discrete Trefftz spaces
impossible. To overcome this limitation, quasi-Trefftz methods rely on
elementwise "approximate solutions" of the PDE. The main advantage of
these schemes over more classical ones is the higher accuracy for
comparable numbers of degrees of freedom. In this talk, we will describe
a polynomial quasi-Trefftz space, its optimal approximation properties
and provide a simple algorithm to compute the discrete functions. We
will focus on a quasi-Trefftz DG method for the
diffusion-advection-reaction equation, showing stability, high-order
convergence and some numerical experiments.</div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><font color="#000000"><u>Keywords:</u></font> quasi-Trefftz method, DG method, diffusion-advection-reaction equation</div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><div dir="auto"><u><b>Information to attend in room U4-04</b></u></div><div dir="auto">The seminar will take place in room U4-04, at the building U4-<span>Tellus</span>, Università degli Studi di Milano Bicocca.</div></div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><u><b>Information to attend online<br></b></u></div><div dir="auto"><div dir="auto"><a href="https://unimib.webex.com/unimib/j.php?MTID=ma25cf24fdd1426be83a85c63a477dfb2">https://unimib.webex.com/unimib/j.php?MTID=ma25cf24fdd1426be83a85c63a477dfb2</a> (password: insalate, 46725283 from phones)</div><a href="https://unimib.webex.com/unimib/j.php?MTID=m3c536ba5a33f71bb9d6a3bc9b00992ad" target="_blank"></a></div><div dir="auto"><div id="m_-4439392858642327092m_5555831848437307896gmail-:183" style="direction:ltr;margin:8px 0px 0px;padding:0px;font-size:0.875rem;font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><div id="m_-4439392858642327092m_5555831848437307896gmail-:17t" style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:small;line-height:1.5;font-family:Arial,Helvetica,sans-serif;overflow:hidden"><div dir="ltr"><div dir="auto"><div dir="auto"><div dir="auto"><div dir="auto"><br></div><div dir="auto">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">insalate.matematica@unimib.it</a>. Find us also on our Instagram page: <a href="https://www.instagram.com/insalate_di_matematica22/" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://www.instagram.com/insalate_di_matematica23/</a></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><font color="#000000">The organizers: Ettore Marmo, Simone Gallivanone, Fabio Mastrogiacomo, Marco Fusari, Tommaso Toti and Matteo Tarocchi.</font></div></div></div></div></div></div><div></div><div></div><div><br><br></div></div></div></div></div></div></div></div></div></div>