Convergence analysis for the wave equation discretized with hybrid methods in space (HHO, HDG and WG) and the leapfrog scheme in time
A Ern, M Steins - Journal of Scientific Computing, 2024 - Springer
We prove the optimal convergence in space and time for the linear acoustic wave equation
in its second-order formulation in time, using the hybrid high-order method for space …
in its second-order formulation in time, using the hybrid high-order method for space …
Optimal local truncation error method on unfitted Cartesian meshes for solution of 3-D wave and heat equations for heterogeneous materials
In the paper we develop the optimal local truncation error method (OLTEM) with the non-
diagonal and diagonal mass matrices on unfitted Cartesian meshes for the 3-D time …
diagonal and diagonal mass matrices on unfitted Cartesian meshes for the 3-D time …
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges
A conforming virtual element method is studied for approximating the solution of a pulsed
electric interface model on polygonal meshes with small edges or faces, which traditional …
electric interface model on polygonal meshes with small edges or faces, which traditional …
Time-explicit hybrid high-order method for the nonlinear acoustic wave equation
M Steins, A Ern, O Jamond, F Drui - … : Mathematical Modelling and …, 2023 - esaim-m2an.org
We devise a fully explicit scheme for the nonlinear acoustic wave equation in its second-
order formulation in time, using the HHO method for space discretization and the leapfrog …
order formulation in time, using the HHO method for space discretization and the leapfrog …
Mixed Virtual Element approximation of linear acoustic wave equation
Abstract We design a Mixed Virtual Element Method for the approximated solution to the first-
order form of the acoustic wave equation. In the absence of external loads, the semi-discrete …
order form of the acoustic wave equation. In the absence of external loads, the semi-discrete …
An explicit hybrid high-order method for structural dynamics
M Steins - 2023 - hal.science
In this Thesis, we focus on the development of the Hybrid High-Order (HHO) method for
structural dynamics. The HHO method is formulated in terms of face unknowns defined on …
structural dynamics. The HHO method is formulated in terms of face unknowns defined on …