Results 101 to 110 of about 12,638,036 (224)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Safe and reliable communication infrastructure for advanced air mobility requires an intelligent and adaptable propagation channel. Electromagnetic meta‐materials, especially meta‐surfaces such as the reconfigurable intelligent surface enable such intelligence allowing programmability with multiple modes of electromagnetic wave manipulation ...
Roshan Antony Gomez, Michael Kaliske
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The Discontinuous Galerkin Method with Diffusion [PDF]
Mathematics of Computation, 1992 Let \(\Omega\subset \mathbb{R}^ 2\) be a bounded polygon and \(\alpha=(\alpha_ 1,\alpha_ 2)\) a unit vector. The author considers the following class of constant-coefficient convection-diffusion equations: (1) \(u_ \alpha-\sigma_ 1u_{xx}-\sigma_ 2u_{yy}=f\), where \((x,y)\in \Omega\), \(u_ \alpha=\alpha\cdot\bigtriangledown u\) and \(\sigma_ 1\) and \(\
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Reducing Parametric Problems With Discontinuities Using Deep Learning
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Model order reduction becomes necessary when dealing with large‐scale engineering problems governed by parametric Partial Differential Equations (PDEs). Conventional projection based reduced basis methods, e.g., based on proper orthogonal decomposition, are not only intrusive in nature but may also demand tailored strategies to efficiently ...
Viral Chheda, Margarita Chasapi
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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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A Mixed Discrete Cosserat Rod Formulation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In this communication we propose a discrete Cosserat rod formulation in which a slender elastic rod is represented as a chain of rigid bodies (nodes) coupled by compliant elastic forces and moments acting between adjacent node pairs. Discrete dilatation, shear, torsion and curvature strain measures are evaluated from the relative kinematics of
Tianxiang Dai +4 more
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Tensor‐Train Compression of a Volume Integral Eddy Current Problem in Discontinuous Galerkin
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT The paper presents a low‐rank tensor compression strategy based on the tensor‐train (TT) format for the integral operator arising in eddy current problems. Unlike classical matrix compression techniques such as the fast multipole method (FMM) or hierarchical matrices (ℋ$$ \mathscr{H} $$‐matrices), which typically compress only far‐field ...
Anthony Torosyan +5 more
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A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT I introduce a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While the SBM simplifies mesh generation by using a nonconforming background grid, it often results in nonsymmetric linear systems, a complete analysis of which is missing from the literature, especially with ...
Michał Wichrowski
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On the Convergence of Ritz-Galerkin's Method
Publications of the Research Institute for Mathematical Sciences, 1968 where D is a bounded domain in the (#, jO -plane, P is the boundary of D, and 0), &(:>0), c(>0), / are smooth functions defined on D. In Ritz-Galerkin's method, first we choose a system of linearly independent functions {^J such that they satisfy the given homogeneous boundary condition and they are dense in a function space containing the exact ...
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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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