Results 91 to 100 of about 383,945 (221)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Regenerative medicine is a promising approach for the treatment of meniscus injuries. In silico experiments provide a valuable framework for optimizing such therapies by improving the understanding of both environmental effects on cell behavior and the interaction between cells and nonwoven scaffolds, which act as porous media supporting cell ...
Ahmad Hussein +3 more
wiley +1 more source
Complexity, 2020 In this paper, we propose the local discontinuous Galerkin method based on the generalized alternating numerical flux for solving the one-dimensional second-order wave equation with the periodic boundary conditions.
Rongpei Zhang +3 more
doaj +1 more source
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
wiley +1 more source
A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]
, 1996 A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
core
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit
CoRRThe numerical approximation of high-dimensional evolution equations poses significant computational challenges, particularly in kinetic theory and radiative transfer. In this work, we introduce the Galerkin Alternating Projection (GAP) scheme, a novel integrator derived within the Dynamical Low-Rank Approximation (DLRA) framework. We perform a rigorous
Gianluca Ceruti +2 more
openaire +2 more sources
A pressure-stabilized projection Lagrange--Galerkin scheme for the transient Oseen problem
CoRR, 2021 26 pages, 6 ...
openaire +2 more sources
Evolve Filter Stabilization Reduced-Order Model for Stochastic Burgers Equation
Fluids, 2018 In this paper, we introduce the evolve-then-filter (EF) regularization method for reduced order modeling of convection-dominated stochastic systems. The standard Galerkin projection reduced order model (G-ROM) yield numerical oscillations in a convection-
Xuping Xie +2 more
doaj +1 more source