Results 71 to 80 of about 305,582 (332)
Layer-adapted meshes for convection–diffusion problems
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An Adaptive Multigrid Strategy for Convection-Diffusion Problems [PDF]
*Abstract. *For the solution of convection-diffusion problems we presenta multilevel self-adaptive mesh-refinement algorithm to resolve locallystrong varying behavior, like boundary and interior layers. The methodis based on discontinuous Galerkin (Baumann-Oden DG) discretization.The recursive mesh-adaptation is interwoven with the multigrid solver.The
Vasileva, D., Kuut, A., Hemker, P.W.
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An inverse problem for a quasilinear convection–diffusion equation
We study the inverse problem of recovering a semilinear diffusion term $a(t,λ)$ as well as a quasilinear convection term $\mathcal B(t,x,λ,ξ)$ in a nonlinear parabolic equation $$\partial_tu-\textrm{div}(a(t,u) \nabla u)+\mathcal B(t,x,u,\nabla u)\cdot\nabla u=0, \quad \mbox{in}\ (0,T)\timesΩ,$$ given the knowledge of the flux of the moving quantity ...
Ali Feizmohammadi +2 more
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In‐Wheel Piezoelectric DC Power Generator With Zero Resistive Torque
In this paper, we present a wheel‐shaped direct‐current piezoelectric generator (DC‐PG) that fundamentally overcomes these constraints by producing phase‐stable DC electricity directly from rolling motion. By embedding this system into suitcase wheels, we demonstrated a fully integrated real‐time location tracking system powered solely by mechanical ...
Hyun Soo Kim +19 more
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In this paper, a numerical solution of 2-D time-dependent coupled nonlinear system is discussed. Both Crank-Nicholson and alternating direction implicit methods were used to address the problems associated with nonlinear system.
Muhammad Saqib +2 more
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Graphene‐skinned alumina fiber (GAF) is a new composite with graphene conformally grown on individual alumina fibers via chemical vapor deposition (CVD). GAF's dynamic, continuous and scalable production is achieved by using a home‐made roll‐to‐roll (RTR) CVD system featuring integrated degumming and growth chambers. GAF possesses tunable conductivity,
Xiaobai Wang +13 more
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Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes
AbstractIn this paper, parameter - uniform numerical methods for singularly perturbed ordinary differential equations containing two small parameters are studied.Parameter-explicit theoretical bounds on the derivatives of the solutions are derived. A numerical algorithm based on an upwind finite difference operator and an appropriate piecewise uniform ...
O'Riordan, Eugene +2 more
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Eulerian-Lagrangian analysis of pollutant transport in shallow water [PDF]
A numerical method for the solution of the two-dimensional, unsteady, transport equation is formulated, and its accuracy is tested.The method uses a Eulerian-Lagrangian approach, in which the transport equation is divided into a diffusion equation ...
Adams, E. Eric +2 more
core
This review provides a bottom‐up evaluation of sodium‐ion battery safety, linking material degradation mechanisms, cell engineering parameters, and module/pack assembly. It emphasizes that understanding intrinsic material stability and establishing coordinated engineering control across hierarchical levels are vital for preventing degradation coupling ...
Won‐Gwang Lim +5 more
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A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations
In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction-diffusion type problems involving boundary and initial conditions is introduced.
Gürbüz Burcu
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