Results 41 to 50 of about 18,760 (165)

Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Model order reduction (MOR) techniques utilising nonlinear approximation spaces can search for solutions to computational homogenisation problems on low‐dimensional approximation spaces. In combination with hyperreduction techniques, this allows for computations on representative volume elements (RVEs) to be accelerated by multiple orders of ...
Erik Faust, Lisa Scheunemann
wiley   +1 more source

A matrix-free high-order discontinuous Galerkin compressible Navier-Stokes solver: A performance comparison of compressible and incompressible formulations for turbulent incompressible flows

, 2018
Both compressible and incompressible Navier-Stokes solvers can be used and are used to solve incompressible turbulent flow problems. In the compressible case, the Mach number is then considered as a solver parameter that is set to a small value, $\mathrm{
Arndt, Arnold, Bassi, Beck, Beck, Brown, Cantwell, Carton de Wiart, Carton de Wiart, Chapelier, Del Alamo, Fehn, Fehn, Fehn, Fernandez, Fischer, Flad, Flad, Franciolini, Gassner, Guermond, Hager, Hartmann, Hesthaven, Hillewaert, Hindenlang, Joshi, Karniadakis, Kennedy, Kirby, Kopriva, Krank, Krank, Kronbichler, Kronbichler, Kronbichler, Kronbichler, Kubatko, Mengaldo, Moser, Moura, Orszag, Pazner, Steinmoeller, Taylor, Toulorge, Uranga, Vos, Wang   +48 more
core   +1 more source

Stabilized Finite Elements for Incompressible, Stationary Navier–Stokes Flows on Manifolds

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT A surface finite element method with residual‐based stabilization for stationary Navier–Stokes flows on curved manifolds is introduced. The mixed formulation in stress‐divergence form leads to a system of equations that has a saddle‐point structure.
Michael Wolfgang Kaiser, Thomas‐Peter Fries   +1 more
wiley   +1 more source

A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D

International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.
ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
wiley   +1 more source

Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations on deforming meshes [PDF]

, 2006
An overview is given of a space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations. This method is well suited for problems with moving (free) boundaries which require the use of deforming elements. In addition,
Bos, F. van der, Klaij, C.M., Vegt, J.J.W. van der, Ven, H. van der   +3 more
core   +1 more source

High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows

, 2015
In this paper we present an efficient discretization method for the solution of the unsteady incompressible Navier-Stokes equations based on a high order (Hybrid) Discontinuous Galerkin formulation.
Lehrenfeld, Christoph, Schöberl, Joachim   +1 more
core   +1 more source

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 5897-5912, 15 May 2026.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

Rate of convergence for a Galerkin scheme approximating a two-scale reaction-diffusion system with nonlinear transmission condition [PDF]

, 2010
We study a two-scale reaction-diffusion system with nonlinear reaction terms and a nonlinear transmission condition (remotely ressembling Henry's law) posed at air-liquid interfaces.
Lakkis, Omar, Muntean, Adrian
core   +2 more sources

Optimizing Light in Space and Time: Inverse Design of Spacetime‐Modulated Metasurfaces via Discontinuous Galerkin Time‐Domain Method

Advanced Photonics Research, Volume 7, Issue 5, May 2026.
This work presents a rigorous inverse design framework based on a discontinuous Galerkin time‐domain (DGTD) framework to handle arbitrary temporal variations in material properties. Our DGTD method is coupled with an advanced Bayesian optimization algorithm to design a realistic space‐time modulated silicon‐based metasurface that achieves nearly 80%$80\
Roman Gelly, Mahmoud Elsawy, Stéphane Lanteri   +2 more
wiley   +1 more source

A Quasi-Convex RKPM for 3D Steady-State Thermomechanical Coupling Problems

Mathematics
A meshless, quasi-convex reproducing kernel particle framework for three-dimensional steady-state thermomechanical coupling problems is presented in this paper.
Lin Zhang, D. M. Li, Cen-Ying Liao, Li-Rui Tian   +3 more
doaj   +1 more source