Results 51 to 60 of about 498 (168)
International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
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High-Order Energy and Linear Momentum Conserving Methods for the Klein-Gordon Equation
Mathematics, 2018 The Klein-Gordon equation is a model for free particle wave function in relativistic quantum mechanics. Many numerical methods have been proposed to solve the Klein-Gordon equation. However, efficient high-order numerical methods that preserve energy and
He Yang
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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Energies, 2014 The performance of modern heavy-duty gas turbines is greatly determined by the accurate numerical predictions of thermal loading on the hot-end components.
Zeng-Rong Hao +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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MathematicsIn this article, we propose a new path-conservative discontinuous Galerkin (DG) method to solve non-conservative hyperbolic partial differential equations (PDEs).
Xiaoxu Zhao +3 more
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An hp-local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations [PDF]
Journal of Scientific Computing, 2010 The authors discuss an \(hp\)-local discontinuous Galerkin (LDG) method for parabolic integro-differential equations. Preliminaries, basic results and the LDG method are presented. A priori error estimates for an extended mixed type Ritz-Volterra projection are discussed. Numerical examples are given to illustrate the predicted convergence rates.
Amiya Kumar Pani, Sangita Yadav
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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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Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation
Advances in Applied Mathematics and Mechanics34 ...
Dong Liu, Weihua Deng
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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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