A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations
SIAM Journal on Scientific Computing, 2023 Convection-diffusion equations arise in a variety of applications such as particle transport, electromagnetics, and magnetohydrodynamics. Simulation of the convection-dominated regime for these problems, even with high-fidelity techniques, is particularly challenging due to the presence of sharp boundary layers and shocks causing jumps and ...
James H. Adler +4 more
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The Mimetic Methods Toolkit: An object-oriented API for Mimetic Finite Differences
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eduardo J. Sanchez +2 more
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Introduction to discrete functional analysis techniques for the numerical study of diffusion equations with irregular data [PDF]
, 2015 We give an introduction to discrete functional analysis techniques for stationary and transient diffusion equations. We show how these techniques are used to establish the convergence of various numerical schemes without assuming non-physical regularity ...
Droniou, Jerome
core +3 more sources
MathematicsThis paper presents a comprehensive study on the spectral properties of mimetic finite-difference operators and their application in the robust fluid–structure interaction (FSI) analysis of aircraft wings under uncertain operating conditions.
J. de Curtò, I. de Zarzà
doaj +1 more source
Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]
, 2010 In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor.
Arnold +65 more
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A Higher-Order Formulation of the Mimetic Finite Difference Method
SIAM Journal on Scientific Computing, 2008 A new mimetic finite difference method for the diffusion problem is developed by using a linear interpolation for the numerical fluxes. This approach provides a higher-order accurate approximation to the flux of the exact solution. In analogy with the original formulation, a family of local scalar products is constructed to satisfy the fundamental ...
L. Beirao da Veiga, G. Manzini
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Exact computation of the Maximum Entropy Potential of spiking neural networks models [PDF]
, 2014 Understanding how stimuli and synaptic connectivity in uence the statistics of spike patterns in neural networks is a central question in computational neuroscience.
Cessac, Bruno, Cofre, Rodrigo
core +5 more sources
Virtual Element Methods for hyperbolic problems on polygonal meshes [PDF]
, 2016 In the present paper we develop the Virtual Element Method for hyperbolic problems on polygonal meshes, considering the linear wave equations as our model problem. After presenting the semi-discrete scheme, we derive the convergence estimates in H^1 semi-
Vacca, Giuseppe
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Epidermal Patch Technologies for Integrated Healthcare and Infection Management
Advanced Healthcare Materials, EarlyView.Epidermal patches have evolved from simple wound coverings into multifunctional, skin‐conformable platforms integrating drug delivery, biosensing, and therapeutic functionalities. This review highlights their material innovations, fabrication strategies, and intelligent designs, including hydrogels, microneedles, and flexible electronics, while ...
Yuqi Wang +7 more
wiley +1 more source
3D Printing of Soft Robotic Systems: Advances in Fabrication Strategies and Future Trends
Advanced Robotics Research, EarlyView.Collectively, this review systematically examines 3D‐printed soft robotics, encompassing material selections, function integration, and manufacturing methodologies. Meanwhile, fabrication strategies are analyzed in order of increasing complexity, highlighting persistent challenges with proposed solutions.
Changjiang Liu +5 more
wiley +1 more source