A5053185382- Advanced Numerical Methods in Computational Mathematics
- Computational Fluid Dynamics and Aerodynamics
- Elasticity and Material Modeling
- Fluid Dynamics and Turbulent Flows
- Numerical methods for differential equations
- Model Reduction and Neural Networks
- Matrix Theory and Algorithms
- Aerodynamics and Acoustics in Jet Flows
- Stability and Controllability of Differential Equations
- Nonlinear Partial Differential Equations
- Advanced Sensor and Control Systems
- Cardiovascular Health and Disease Prevention
- Advanced Algorithms and Applications
- Advanced Mathematical Physics Problems
Changchun University of Science and Technology
2022
Computer Network Information Center
2020
Chinese Academy of Sciences
2020
University of Washington Applied Physics Laboratory
2013-2015
University of Washington
2013
University of Colorado Boulder
2010-2013
University of Colorado System
2012
In this paper, we study an initial boundary value problem for a $p$-Laplacian hyperbolic equation with logarithmic nonlinearity. By combining the modified potential well method Galerkin method, existence of global weak solution is studied, and polynomial exponential decay estimation under certain conditions are also given. Moreover, by using concavity other techniques, obtain blow up results at finite time.
Summary This report presents a numerical study of reduced‐order representations for simulating incompressible Navier–Stokes flows over range physical parameters. The combine ideas approximation nonlinear terms, local bases, and least‐squares residual minimization. To construct the temporal snapshots different configurations are collected automatically until an error indicator is reduced below user‐specified tolerance. An adaptive time‐integration scheme also employed to accelerate generation...
ABSTRACT Multi-dimensional aerodynamic database technology is widely used, but its model often has the curse of dimensionality. In order to solve this problem, we need projection reduce dimension. addition, due lack traditional method, have improved flow field reconstruction method based on artificial neural networks, and proposed an array network method. paper, a set data for target problem fixed Mach number obtained by existing CFD Then arrange all sampled into matrix use proper orthogonal...
Abstract We introduce and study a parallel domain decomposition algorithm for the simulation of blood flow in compliant arteries using fully-coupled system nonlinear partial differential equations consisting linear elasticity equation incompressible Navier-Stokes with resistive outflow boundary condition. The is discretized finite element method on unstructured moving meshes solved by Newton-Krylov preconditioned an overlapping restricted additive Schwarz method. condition plays interesting...