When
12:30 – 1:30 p.m., April 2, 2026
Where
Speaker: Tamas Horvath, Oakland University
Title: Space-Time Finite Element Methods with Adaptive Meshing
Abstract: Space-time finite element methods provide a natural framework for solving time-dependent partial differential equations on evolving domains. However, generating conforming space-time meshes remains computationally challenging, especially in the presence of large deformations induced by fluid-rigid body interactions. We developed conforming space-time mesh-generation strategies compatible with a hybridized-embedded discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. The proposed framework maintains mesh conformity under large geometric deformations and supports adaptive spatial refinement and coarsening, as well as local temporal refinement. Numerical experiments demonstrate the robustness and flexibility of the approach in challenging fluid-structure interaction scenarios.
Abstract: Space-time finite element methods provide a natural framework for solving time-dependent partial differential equations on evolving domains. However, generating conforming space-time meshes remains computationally challenging, especially in the presence of large deformations induced by fluid-rigid body interactions. We developed conforming space-time mesh-generation strategies compatible with a hybridized-embedded discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. The proposed framework maintains mesh conformity under large geometric deformations and supports adaptive spatial refinement and coarsening, as well as local temporal refinement. Numerical experiments demonstrate the robustness and flexibility of the approach in challenging fluid-structure interaction scenarios.