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 <h4 id="svetlana-tokareva-los-alamos-national-laboratory">Svetlana Tokareva (Los Alamos National Laboratory)</h4>
-<h5 id="tba"><em>TBA</em></h5>
+<h5 id="a-high-order-matrix-free-finite-element-method-for-hyperbolic-problems"><em>A high-order matrix-free finite element method for hyperbolic problems</em></h5>
 <h5 id="9am-pdt-january-14-2025"><a href="https://everytimezone.com/s/079ead5c"><strong>9am PDT, January 14, 2025</strong></a></h5>
 <p><a href=""><button type="button" class="btn btn-success">
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-<p><strong>Abstract:</strong> TBA</p>
+<p><strong>Abstract:</strong> Many multiphysics applications require high-order, physically
+consistent and computationally efficient discretizations of hyperbolic PDEs. In
+this talk, we will present a mass-matrix-free finite element (MF-FE) scheme,
+which provides an explicit and arbitrary high order approximation of the smooth
+solutions of the hyperbolic PDEs both in space and time. The design of the
+scheme allows for an efficient diagonalization of the mass matrix without any
+loss of accuracy. This is achieved by coupling the FEM formulation
+<a href="https://doi.org/10.1016/j.camwa.2018.05.009">[1]</a> with a Deferred Correction
+(DeC) type method <a href="https://global-sci.org/intro/article_detail/jcm/8648.html">[2]</a>
+for the discretization in time. The advantage of such a matrix-free approach
+consists in preserving a compact approximation stencil even at high orders,
+which reduces the computational cost compared to classical finite element
+techniques and provides potential benefit for exascale computing on future
+computer architectures.  In this talk we focus on the staggered grid MF-FEM (SG
+MF-FEM) scheme for the Lagrangian hydrodynamics. We will present the simulation
+results for several challenging benchmark problems.  Finally, will discuss how
+structure-preserving properties (such as positivity and preservation of local
+bounds) of the proposed MF-FE method can be enforced using convex limiting for
+blending the high-order and low-order element residuals
+<a href="https://doi.org/10.1016/j.cma.2018.11.036">[3]</a>.</p>
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