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A quasi-Trefftz discontinuous Galerkin method for the diffusion-advection-reaction equation with piecewise-smooth coefficients
Il 14 febbraio 2023, alle 4:30 pm (CET), nel quadro della serie di seminari Insalate di Matematica, Chiara Perinati (Università degli Studi di Pavia) parlerà di
Title: "A quasi-Trefftz discontinuous Galerkin method for the diffusion-advection-reaction equation with piecewise-smooth coefficients"
Abstract: 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.
Keywords: quasi-Trefftz method, DG method, diffusion-advection-reaction equation
Information to attend in room U4-04
The seminar will take place in room U4-04, at the building U4-Tellus, Università degli Studi di Milano Bicocca.
Information to attend online
https://unimib.webex.com/
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