Results 91 to 100 of about 68,141 (218)
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. The numerical method for solving hypersingular integral equations on a segment that arise in many problems of mathematical physics is considered. Materials and methods.
Yu.G. Smirnov
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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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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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Resolving phase transitions with Discontinuous Galerkin methods
, 2019 We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (FRG). We investigate the $O(N)$-model in the large $N$ limit.
Grossi, Eduardo, Wink, Nicolas
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The use of parametric model order reduction (pMOR) by matrix interpolation enables efficient simulation of large‐scale finite element (FE) models in multi‐query applications such as optimization and uncertainty quantification. In this method, high‐fidelity systems are sampled, individually reduced by projection‐based model order reduction, and
Sebastian Resch‐Schopper +1 more
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Revista Facultad de Ingeniería Universidad de Antioquia, 2013 This article develops numerically the advection-diffusion equation problem, using Galerkin on characteristic lines and Streamline Upwind Petrov-Galerkin (SUPG) methods. The dominated advective conditions in the solved problem showed that for cases where
Carlos Humberto Galeano +2 more
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Identifying Differential Equations by Galerkin's Method [PDF]
Mathematics of Computation, 1977 A numerical technique based on Galerkin’s method is presented for computing unknown parameters or functions occurring in a differential equation whose solution is known. Under certain conditions a solution can be shown to exist to the integral equation formulation of this problem. It is also shown that the resulting nonlinear system is nonsingular.
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Analysis of a Viscoplastic Burgers Equation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
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An Approximate Solution of the Bending of Beams on a Nonlinear Elastic Foundation with the Galerkin Method [PDF]
Journal of Applied and Computational MechanicsThe analysis of beam deformation on elastic foundation is very important in engineering applications, and studies of beams on linear elastic foundations are abundant and accurate.
Junlong Jiang +5 more
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