A5042341009- Advanced Numerical Methods in Computational Mathematics
- Numerical methods in engineering
- Advanced Mathematical Modeling in Engineering
- Computational Fluid Dynamics and Aerodynamics
- Electromagnetic Simulation and Numerical Methods
- Fluid Dynamics and Turbulent Flows
- Differential Equations and Numerical Methods
- Advanced Numerical Analysis Techniques
- Numerical methods for differential equations
- Nanofluid Flow and Heat Transfer
- Heat Transfer Mechanisms
- Navier-Stokes equation solutions
- Lattice Boltzmann Simulation Studies
- Heat Transfer and Optimization
- Contact Mechanics and Variational Inequalities
- Fractional Differential Equations Solutions
- Probabilistic and Robust Engineering Design
- Magnetic Properties and Applications
- Numerical methods in inverse problems
- Matrix Theory and Algorithms
- Computational Physics and Python Applications
- Electromagnetic Scattering and Analysis
- Gas Dynamics and Kinetic Theory
- Acoustic Wave Phenomena Research
- Topology Optimization in Engineering
Academy of Mathematics and Systems Science
2016-2025
University of Chinese Academy of Sciences
2017-2025
Chinese Academy of Sciences
2013-2024
National Center for Mathematics and Interdisciplinary Sciences
2017-2024
Ocean University of China
2024
Institute of Semiconductors
2018
Institute of Computing Technology
2009-2013
ETH Zurich
2012
Institute of Computational Mathematics and Mathematical Geophysics
2007-2011
Université de Pau et des Pays de l'Adour
2010
We propose a finite element method for the three-dimensional transient incompressible magnetohydrodynamic equations that ensures exactly divergence-free approximations of velocity and magnetic induction. employ second-order semi-implicit timestepping, which we rigorously establish an energy law and, as consequence, unconditional stability. prove unique solvability linear systems to be solved in every timestep. For those design efficient preconditioner so number preconditioned GMRES...
We present the divergence-free nonconforming virtual element method for Stokes problems. first construct a with continuous normal component and weak tangential by enriching previous $\bm H$(div)-conforming some functions from $C^0$-continuous $H^2$-nonconforming element. By imposing restriction on each edge resulting element, we obtain desired less space dimension. The provides exact approximation to velocity is proved be convergent optimal convergence rate. Further, two sequences of...
Abstract The key purpose of the existing article is to discuss effects various hybrid nanofluids and a simple nanofluid over heat transfer friction drags along stretched surface. kinds together with aligned magnetic field, nonlinear radiation suction have been taken into consideration. These are prepared by suspending couple distinct nanoparticles $$Cu$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Cu</mml:mi> </mml:mrow> </mml:math> $$A{l}_{2}{O}_{3}$$...
In this paper, we prove convergence and quasi-optimal complexity of a simple adaptive nonconforming finite element method. each step the algorithm, iterative solution discrete system is controlled by an stopping criterion, local refinement based on either edge residual or volume term, depending marking strategy. We that strategy guarantees strict reduction error, augmented term additional oscillation generated sequence meshes.
In this paper, an interior penalty virtual element method (IPVEM) is developed for solving the biharmonic problem on polygonal meshes. By modifying existing <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper H squared"> <mml:semantics> <mml:msup> <mml:mi>H</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding="application/x-tex">H^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-conforming element,...
We prove convergence and quasi-optimal complexity of adaptive nonconforming low-order finite element methods for the Stokes equations, covering Crouzeix–Raviart discretization on triangular tetrahedral meshes, as well Rannacher–Turek two- three-dimensional rectangular meshes. Hanging nodes are allowed in order to ease local mesh refinement. The algorithm is based standard a posteriori error estimators consisting two parts: volume residual an edge term measuring nonconformity velocity...
The Helmholtz integral equation forms a conventional basis for acoustic boundary element analysis (BEA). Implicit differentiation of the discretized is shown to yield an effective approach computation rates change (sensitivities) response quantities with respect changes in shape model. A theoretical formulation presented that allows reuse factorization overall BEA system left-hand side matrix formed previous analysis, thus obviating need factor perturbed matrices sensitivity process....