Results 71 to 80 of about 4,808 (199)
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
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An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
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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 +4 more
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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 +1 more
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Galerkin-finite difference method for fractional parabolic partial differential equations
MethodsXThe fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan +2 more
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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 +5 more
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Sci Rep, 2023 Jaśkowiec J, Pamin J.
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Injection molding is a manufacturing process for plastic components where precise geometries and part properties, such as local strength and stiffness, are critical. The mold filling phase, during which the hot molten polymer is rapidly injected into the cooled mold cavity, presents significant simulation challenges due to steep temperature ...
Blanca Ferrer Fabón +3 more
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Abstract and Applied Analysis, 2014 We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
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