Results 71 to 80 of about 101,709 (214)

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source

A comparison of implicit–explicit Runge–Kutta time integration schemes in numerical solvers based on the Galerkin and Petrov–Galerkin spectral methods for two-dimensional magneto-hydrodynamic problems

Results in Applied Mathematics
The research adopts the Galerkin and Petrov–Galerkin spectral methods to analyze the effects of implicit–explicit Runge–Kutta (IMEX RK) time schemes on the stability, accuracy, precision, and efficiency of computations when used in numerical simulations ...
Anna Piterskaya, Mikael Mortensen
doaj   +1 more source

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

Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

Advanced Modeling and Simulation in Engineering Sciences, 2019
This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
doaj   +1 more source

Implementation of a Thermomechanical Model for Journal Bearings Using p‐FEM

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Hydrodynamic journal bearings are essential machine parts that are used for applications with high rotational speeds. Their precise simulation requires the consideration of thermomechanical interactions between solids and fluid. During operation, the shear stresses in the fluid (lubricant film heights: 5–100 μm${\umu }\mathrm{m}$), lead to ...
Fabian Schmidtchen, Sascha Eisenträger, Cornelius Strackeljan, Thomas Richter, Elmar Woschke   +4 more
wiley   +1 more source

Stabilized approximation of steady flow of third grade fluid in presence of partial slip

Results in Physics, 2017
This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition.
Amer Rasheed, Azka Kausar, Abdul Wahab, Tanvir Akbar   +3 more
doaj   +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

The Dual Characteristic-Galerkin Method

Comptes Rendus. Mathématique
The Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
doaj   +1 more source

Multi‐Goal‐Oriented Anisotropic Error Control and Mesh Adaptivity for Time‐Dependent Convection‐Dominated Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer, Nils Margenberg, Ioannis Toulopoulos, Thomas Wick   +5 more
wiley   +1 more source

Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]

مهندسی عمران شریف
The present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
doaj   +1 more source