In this paper we present a rigorous derivation of the material parameters for both the cylinder and rectangle cloaking structures.Numerical results using these material parameters are presented to demonstrate the cloa...In this paper we present a rigorous derivation of the material parameters for both the cylinder and rectangle cloaking structures.Numerical results using these material parameters are presented to demonstrate the cloaking effect.展开更多
In this paper,we propose several solar cell designs based on metamaterials.Extensive numerical simulations of various designs with different materials are carried out.Our tests show that metamaterial solar cells are q...In this paper,we propose several solar cell designs based on metamaterials.Extensive numerical simulations of various designs with different materials are carried out.Our tests show that metamaterial solar cells are quite efficient,and over 80%and 90%absorption rates can be attained for solar spectrum and visible rays,respectively.展开更多
This article is devoted to three quadrature methods for the rapid solution of stochastic time-dependent Maxwell’s equations with uncertain permittivity,perme-ability and initial conditions.We develop the mathematical...This article is devoted to three quadrature methods for the rapid solution of stochastic time-dependent Maxwell’s equations with uncertain permittivity,perme-ability and initial conditions.We develop the mathematical analysis of the error estimate for single level Monte Carlo method,multi-level Monte Carlo method,and the quasi-Monte Carlo method.The theoretical results are supplemented by numerical experiments.展开更多
In this paper,the time-dependent Maxwell’s equations used to modeling wave propagation in dispersive lossy bi-isotropic media are investigated.Existence and uniqueness of the modeling equations are proved.Two fully d...In this paper,the time-dependent Maxwell’s equations used to modeling wave propagation in dispersive lossy bi-isotropic media are investigated.Existence and uniqueness of the modeling equations are proved.Two fully discrete finite element schemes are proposed,and their practical implementation and stability are discussed.展开更多
In this paper,we are concerned about the stability analysis for a Perfectly Matched Layer(PML)recently developed by Becache et al.[5]for simulating wave propagation in the Drude metamaterial.This PML is proved to be s...In this paper,we are concerned about the stability analysis for a Perfectly Matched Layer(PML)recently developed by Becache et al.[5]for simulating wave propagation in the Drude metamaterial.This PML is proved to be stable originally in[6]through a modal analysis.Here we establish its stability by the energy method.A FDTD scheme is developed and analyzed.Numerical simulations illustrate the stability of the PML model and its effectiveness in absorbing outgoing waves in the Drude medium.展开更多
.In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)block.Convergence of the iterativemethod is proved under....In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)block.Convergence of the iterativemethod is proved under the assumption that the double saddle-point problem exists a unique solution.An application of the iterative method to the double saddle-point systems arising from the distributed Lagrange multiplier/fictitious domain(DLM/FD)finite element method for solving elliptic interface problems is also presented,in which the existence and uniqueness of the double saddle-point system is guaranteed by the analysis of the DLM/FD finite element method.Numerical experiments are conducted to validate the theoretical results and to study the performance of the proposed iterative method.展开更多
In this work,we investigate wave propagation through a zero index meta-material(ZIM)waveguide embedded with triangular dielectric defects.We provide a theoretical guidance on how to achieve total reflection and total t...In this work,we investigate wave propagation through a zero index meta-material(ZIM)waveguide embedded with triangular dielectric defects.We provide a theoretical guidance on how to achieve total reflection and total transmission(i.e.,cloaking)by adjusting the defect sizes and/or permittivities of the defects.Our work provides a systematical way in manipulating wave propagation through ZIM in addi-tion to the widely studied dielectric defects with cylindrical and rectangular geome-tries.展开更多
Blood pressure(BP)has been identified as one of the main factors in cardiovascular disease and other related diseases.Then how to accurately and conveniently measure BP is important to monitor BP and to prevent hypert...Blood pressure(BP)has been identified as one of the main factors in cardiovascular disease and other related diseases.Then how to accurately and conveniently measure BP is important to monitor BP and to prevent hypertension.This paper proposes an efficient BP measurement model by integrating a fluid-structure interaction model with the photoplethysmogram(PPG)signal and developing a data-driven computational approach to fit two optimization parameters in the proposedmodel for each individual.The developed BPmodel has been validated on a public BP dataset and has shown that the average prediction errors among the root mean square error(RMSE),the mean absolute error(MAE),the systolic blood pressure(SBP)error,and the diastolic blood pressure(DBP)error are all below 5mmHg for normal BP,stage I,and stage II hypertension groups,and,prediction accuracies of the SBP and the DBP are around 96%among those three groups.展开更多
The Third International Conference on Scientific Computing and Partial Differential Equations(SCPDE)was held from December 8 to December 12,2008 at China Hong Kong Baptist University.It was a sequel to similar confere...The Third International Conference on Scientific Computing and Partial Differential Equations(SCPDE)was held from December 8 to December 12,2008 at China Hong Kong Baptist University.It was a sequel to similar conferences held in Hong Kong region(2002 and 2005).The conference aims to promote research interests in scientific computation.In SCPDE 2008,there were 118 participants from seventeen countries and regions participated in the conference.The Programme included seventeen plenary addresses,thirty invited talks,twenty five contributed talks and seven poster presentations.展开更多
In this paper,we first develop the mathematical modeling equations for wave propagation in several transformation optics devices,including electromagnetic concentrator,rotator and splitter.Then we propose the correspo...In this paper,we first develop the mathematical modeling equations for wave propagation in several transformation optics devices,including electromagnetic concentrator,rotator and splitter.Then we propose the corresponding finite element time-domain methods for simulating wave propagation in these transformation optics devices.We implement the proposed algorithms and our numerical results demonstrate the effectiveness of our modeling equations.To our best knowledge,this is the first work on time-domain finite element simulation carried out for the electromagnetic concentrator,rotator and splitter.展开更多
A special session on Numerical Analysis,in honor of Professor Graeme Fairweather’s 70th birthday This special issue of Advances in Applied Mathematics and Mechanics consists of a se-lection of invited and contributed...A special session on Numerical Analysis,in honor of Professor Graeme Fairweather’s 70th birthday This special issue of Advances in Applied Mathematics and Mechanics consists of a se-lection of invited and contributed papers that were presented in a Special Session of the 8th International Conference on Scientific Computing and Applications that was held at the University of Nevada,Las Vegas,from April 1 to 4,2012.The Special Session was organized in order to celebrate the 70th birthday of Professor Graeme Fairweather.展开更多
基金The first author is supported by National Science Foundation grant DMS-0810896This work is also inspired by the workshop “Metamaterials:Applications,Analysis and Modeling”held at the Institute for Pure and Applied Mathematics(IPAM)located at University of California at Los Angeles(UCLA)during January 25-29,2010.+1 种基金As Co-Chair of this workshop,he highly appreciated IPAM’s kind support for sponsoring this workshopThe second author is supported in part by the NSFC Key Project 11031006 and Hunan Provincial NSF project 10JJ7001.
文摘In this paper we present a rigorous derivation of the material parameters for both the cylinder and rectangle cloaking structures.Numerical results using these material parameters are presented to demonstrate the cloaking effect.
基金This work was partially supported by the NSFC Key Project 11031006National Science Foundation grant DMS-0810896.
文摘In this paper,we propose several solar cell designs based on metamaterials.Extensive numerical simulations of various designs with different materials are carried out.Our tests show that metamaterial solar cells are quite efficient,and over 80%and 90%absorption rates can be attained for solar spectrum and visible rays,respectively.
基金supported by National Natural Science Foundation of China under grants No.11961048,No.11671340NSF of Jiangxi Province with No.20181ACB20001.
文摘This article is devoted to three quadrature methods for the rapid solution of stochastic time-dependent Maxwell’s equations with uncertain permittivity,perme-ability and initial conditions.We develop the mathematical analysis of the error estimate for single level Monte Carlo method,multi-level Monte Carlo method,and the quasi-Monte Carlo method.The theoretical results are supplemented by numerical experiments.
基金This work was supported by National Science Foundation grant DMS-0810896,NSFC project 11271310in part by the NSFC Key Project 11031006 and Research Grants Council of Hong Kong and NSERC(Canada).
文摘In this paper,the time-dependent Maxwell’s equations used to modeling wave propagation in dispersive lossy bi-isotropic media are investigated.Existence and uniqueness of the modeling equations are proved.Two fully discrete finite element schemes are proposed,and their practical implementation and stability are discussed.
文摘In this paper,we are concerned about the stability analysis for a Perfectly Matched Layer(PML)recently developed by Becache et al.[5]for simulating wave propagation in the Drude metamaterial.This PML is proved to be stable originally in[6]through a modal analysis.Here we establish its stability by the energy method.A FDTD scheme is developed and analyzed.Numerical simulations illustrate the stability of the PML model and its effectiveness in absorbing outgoing waves in the Drude medium.
基金supported by the 10 plus 10 project of Tongji University(No.4260141304/004/010).
文摘.In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)block.Convergence of the iterativemethod is proved under the assumption that the double saddle-point problem exists a unique solution.An application of the iterative method to the double saddle-point systems arising from the distributed Lagrange multiplier/fictitious domain(DLM/FD)finite element method for solving elliptic interface problems is also presented,in which the existence and uniqueness of the double saddle-point system is guaranteed by the analysis of the DLM/FD finite element method.Numerical experiments are conducted to validate the theoretical results and to study the performance of the proposed iterative method.
基金Prof.Yunqing Huang is partially supported by NSFC Key Project 91430213,IRT1179 of PCSIRT and MOST 2010DFR00700Prof.Jichun Li is Partially supported by NSFC project 11271310 and a grant from the Simons Foundation(#281296 to Jichun Li).
文摘In this work,we investigate wave propagation through a zero index meta-material(ZIM)waveguide embedded with triangular dielectric defects.We provide a theoretical guidance on how to achieve total reflection and total transmission(i.e.,cloaking)by adjusting the defect sizes and/or permittivities of the defects.Our work provides a systematical way in manipulating wave propagation through ZIM in addi-tion to the widely studied dielectric defects with cylindrical and rectangular geome-tries.
基金W.Hao was supported in part by AHA grant 17SDG33660722P.Sun was supported by a grant from the Simons Foundation(MPS-706640,PS).
文摘Blood pressure(BP)has been identified as one of the main factors in cardiovascular disease and other related diseases.Then how to accurately and conveniently measure BP is important to monitor BP and to prevent hypertension.This paper proposes an efficient BP measurement model by integrating a fluid-structure interaction model with the photoplethysmogram(PPG)signal and developing a data-driven computational approach to fit two optimization parameters in the proposedmodel for each individual.The developed BPmodel has been validated on a public BP dataset and has shown that the average prediction errors among the root mean square error(RMSE),the mean absolute error(MAE),the systolic blood pressure(SBP)error,and the diastolic blood pressure(DBP)error are all below 5mmHg for normal BP,stage I,and stage II hypertension groups,and,prediction accuracies of the SBP and the DBP are around 96%among those three groups.
文摘The Third International Conference on Scientific Computing and Partial Differential Equations(SCPDE)was held from December 8 to December 12,2008 at China Hong Kong Baptist University.It was a sequel to similar conferences held in Hong Kong region(2002 and 2005).The conference aims to promote research interests in scientific computation.In SCPDE 2008,there were 118 participants from seventeen countries and regions participated in the conference.The Programme included seventeen plenary addresses,thirty invited talks,twenty five contributed talks and seven poster presentations.
基金supported by NSFC Projects(11771371,11671340)Hunan Education Department Projects(15B236,YB2015B027)+2 种基金Hunan NSF(2017jj3304)NSFC Key Projects(91430213,91630205)NSF grant(DMS-1416742),Guangdong Provincial Engineering Technology Research Center for Data Science.
文摘In this paper,we first develop the mathematical modeling equations for wave propagation in several transformation optics devices,including electromagnetic concentrator,rotator and splitter.Then we propose the corresponding finite element time-domain methods for simulating wave propagation in these transformation optics devices.We implement the proposed algorithms and our numerical results demonstrate the effectiveness of our modeling equations.To our best knowledge,this is the first work on time-domain finite element simulation carried out for the electromagnetic concentrator,rotator and splitter.
文摘A special session on Numerical Analysis,in honor of Professor Graeme Fairweather’s 70th birthday This special issue of Advances in Applied Mathematics and Mechanics consists of a se-lection of invited and contributed papers that were presented in a Special Session of the 8th International Conference on Scientific Computing and Applications that was held at the University of Nevada,Las Vegas,from April 1 to 4,2012.The Special Session was organized in order to celebrate the 70th birthday of Professor Graeme Fairweather.
