324 citations · 1.1k across the 33 of their papers we have counts for
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A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems
Andrea La Spina, Martin Kronbichler, Matteo Giacomini +2
A scheme for the solution of fluid-structure interaction (FSI) problems with weakly compressible flows is proposed in this work. A novel hybridizable discontinuous Galerkin (HDG) m…
Numerical evidence of anomalous energy dissipation in incompressible Euler flows: Towards grid-converged results for the inviscid Taylor-Green problem
Niklas Fehn, Martin Kronbichler, Peter Munch +1
Providing evidence of finite-time singularities of the incompressible Euler equations in three space dimensions is still an unsolved problem. Likewise, the zeroth law of turbulence…
Scalability of High-Performance PDE Solvers
Paul Fischer, Misun Min, Thilina Rathnayake +8
Performance tests and analyses are critical to effective HPC software development and are central components in the design and implementation of computational algorithms for achiev…
High-order arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the incompressible Navier-Stokes equations
Niklas Fehn, Johannes Heinz, Wolfgang A. Wall +1
This paper presents robust discontinuous Galerkin methods for the incompressible Navier-Stokes equations on moving meshes. High-order accurate arbitrary Lagrangian-Eulerian formula…
hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations
Peter Munch, Katharina Kormann, Martin Kronbichler
This work presents the efficient, matrix-free finite-element library hyper.deal for solving partial differential equations in two to six dimensions with high-order discontinuous Ga…