A5036181914- Advanced Numerical Methods in Computational Mathematics
- Differential Equations and Numerical Methods
- Advanced Mathematical Modeling in Engineering
- Numerical methods in engineering
- Solidification and crystal growth phenomena
- Computational Fluid Dynamics and Aerodynamics
- Electromagnetic Simulation and Numerical Methods
- Numerical methods for differential equations
- Soil, Finite Element Methods
- Fluid Dynamics and Thin Films
- Contact Mechanics and Variational Inequalities
- High-Velocity Impact and Material Behavior
- Structural Response to Dynamic Loads
- Rock Mechanics and Modeling
- Matrix Theory and Algorithms
- Nonlinear Partial Differential Equations
- Electromagnetic Scattering and Analysis
- Model Reduction and Neural Networks
- Quantum chaos and dynamical systems
- nanoparticles nucleation surface interactions
- Differential Equations and Boundary Problems
- Tensor decomposition and applications
- Aerospace Engineering and Control Systems
- Numerical methods in inverse problems
- Fractional Differential Equations Solutions
Beihua University
2013-2024
Guizhou Institute of Technology
2023
Guizhou University
2023
Northeast Normal University
2019
Chongqing Three Gorges University
2014
Xiangtan University
2011-2013
South China Normal University
2012-2013
Abstract For shaped charge blasting projects in mining, civil engineering, and similar fields, it is proposed to modify the structure by combining slotted tubes liners obtain a new type of structure. This aims achieve directional rock breaking through focused action charge. The influence different pipe materials on rock-breaking effect concentrated energy using explored theoretical analysis combined with model test study, high-speed camera, stress–strain gauge, other equipment. A comparison...
SUMMARY In this paper, the finite volume element method (FVEM) is applied to solve distributed optimal control problems governed by parabolic equation. We use of variational discretization concept approximate problems. consider a semi‐discrete and fully discrete piecewise linear FVEMs. For method, order error estimates in continuous L ∞ ( J ; 2 ) H 1 )‐norm are obtained; suboptimal also obtained. derived. Numerical experiments presented test these theoretical results. Copyright © 2012 John...
Abstract The shape of a charge liner used in shaped charges with combined will greatly influence the blasting effect. In this study, we examined how liners different shapes affected directional rock blasting, and assessed mechanism. numerical simulation results showed that among three liners, arc triangular performed significantly better than flat‐top liner, was slightly superior to arc‐shaped liner. Model testing indicated principal cracks developed along energy‐gathering direction, while...
Abstract In this article, we investigate the L ∞ ( 2 ) ‐error estimates of semidiscrete expanded mixed finite element methods for quadratic optimal control problems governed by hyperbolic integrodifferential equations. The state and costate are discretized order k Raviart‐Thomas spaces, is approximated piecewise polynomials ≥ 0). We derive error both approximation. Numerical experiments presented to test theoretical results. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq,
Abstract In this paper, we investigate the error estimates and superconvergence property of mixed finite element methods for elliptic optimal control problems. The state co-state are approximated by lowest order Raviart-Thomas spaces variable is piecewise constant functions. We derive L 2 ∞ -error variable. Moreover, using a recovery operator, also some results Finally, numerical example given to demonstrate theoretical results.
In this paper, we discuss the a posteriori error estimates of semidiscrete mixed finite element methods for quadratic optimal control problems governed by linear hyperbolic equations. The state and co-state are discretized order <TEX>$k$</TEX> Raviart-Thomas spaces is approximated piecewise polynomials <TEX>$k(k{\geq}0)$</TEX>. Using elliptic reconstruction method, posterior <TEX>$L^{\infty}(L^2)$</TEX>-error both approximation derived. Such estimates, which apparently not available in...
Abstract In this paper, we investigate the error estimates of mixed finite element methods for optimal control problems governed by general elliptic equations. The state and co-state are approximated lowest order Raviart-Thomas spaces variable is piecewise constant functions. We derive L 2 H –1 -error both variables. Finally, a numerical example given to demonstrate theoretical results.