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LFS functions in multi-objective programming 多目标规划中的LFS函数
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/AM.1996.134331
L. Neralić, S. Zlobec
{"title":"LFS functions in multi-objective programming","authors":"L. Neralić, S. Zlobec","doi":"10.21136/AM.1996.134331","DOIUrl":"https://doi.org/10.21136/AM.1996.134331","url":null,"abstract":"We find conditions, in multi-objective convex programming with nonsmooth functions, when the sets of efficient (Pareto) and properly efficient solutions coincide. This occurs, in particular, when all functions have locally flat surfaces (LFS). In the absence of the LFS property the two sets are generally different and the characterizations of efficient solutions assume an asymptotic form for problems with three or more variables. The results are applied to a problem in highway construction, where the quantity of dirt to be removed and the uniform smoothness of the shape of a terrain are optimized simultaneously.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"77 1","pages":"347-366"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81178948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On caustics associated with Rossby waves 关于与罗斯比波相关的焦散
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134329
A. Gorman
{"title":"On caustics associated with Rossby waves","authors":"A. Gorman","doi":"10.21136/am.1996.134329","DOIUrl":"https://doi.org/10.21136/am.1996.134329","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"91 1","pages":"321-328"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72840102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A recovered gradient method applied to smooth optimal shape problems 一种用于光滑最优形状问题的恢复梯度法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134327
I. Hlavácek, J. Chleboun
{"title":"A recovered gradient method applied to smooth optimal shape problems","authors":"I. Hlavácek, J. Chleboun","doi":"10.21136/am.1996.134327","DOIUrl":"https://doi.org/10.21136/am.1996.134327","url":null,"abstract":"A new postprocessing technique suitable for nonuniform triangulations is employed in the sensitivity analysis of some model optimal shape design problems.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"9 1","pages":"281-297"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88808084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
How to recover the gradient of linear elements on nonuniform triangulations 如何恢复非均匀三角形上线性元素的梯度
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134325
I. Hlavácek, M. Křížek, Vladislav Pištora
{"title":"How to recover the gradient of linear elements on nonuniform triangulations","authors":"I. Hlavácek, M. Křížek, Vladislav Pištora","doi":"10.21136/am.1996.134325","DOIUrl":"https://doi.org/10.21136/am.1996.134325","url":null,"abstract":"We propose and examine a simple averaging formula for the gradient of linear finite elements in $R^d$ whose interpolation order in the $L^q$-norm is $mathcal O(h^2)$ for $d<2q$ and nonuniform triangulations. For elliptic problems in $R^2$ we derive an interior superconvergence for the averaged gradient over quasiuniform triangulations. A numerical example is presented.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"61 1","pages":"241-267"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88372655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 26
Singular perturbations in optimal control problem with application to nonlinear structural analysis 奇异摄动最优控制问题及其在非线性结构分析中的应用
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134328
J. Lovísek
{"title":"Singular perturbations in optimal control problem with application to nonlinear structural analysis","authors":"J. Lovísek","doi":"10.21136/am.1996.134328","DOIUrl":"https://doi.org/10.21136/am.1996.134328","url":null,"abstract":"Summary. This paper concerns an optimal control problem of elliptic singular perturba­ tions in variational inequalities (with controls appearing in coefficients, right hand sides and convex sets of states as well). The existence of an optimal control is verified. Applications to the optimal control of an elasto-plastic plate with a small rigidity and with an obstacle are presented. For elasto-plastic plates with a moving part of the boundary a primal finite element model is applied and a convergence result is obtained.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"58 1","pages":"299-320"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88322904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Cauchy problem for the non-newtonian viscous incompressible fluid 非牛顿粘性不可压缩流体的柯西问题
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134320
M. Pokorný
{"title":"Cauchy problem for the non-newtonian viscous incompressible fluid","authors":"M. Pokorný","doi":"10.21136/am.1996.134320","DOIUrl":"https://doi.org/10.21136/am.1996.134320","url":null,"abstract":"We study the Cauchy problem for the non-Newtonian incompressible fluid with the viscous part of the stress tensor $tau ^V(mathbb{e}) = tau (mathbb{e}) - 2mu _1 Delta mathbb{e}$, where the nonlinear function $tau (mathbb{e})$ satisfies $tau _{ij}(mathbb{e})e_{ij} ge c|mathbb{e}|^p$ or $tau _{ij}(mathbb{e})e_{ij} ge c(|mathbb{e}|^2+|mathbb{e}|^p)$. First, the model for the bipolar fluid is studied and existence, uniqueness and regularity of the weak solution is proved for $p > 1$ for both models. Then, under vanishing higher viscosity $mu _1$, the Cauchy problem for the monopolar fluid is considered. For the first model the existence of the weak solution is proved for $p > frac{3n}{n+2}$, its uniqueness and regularity for $p ge 1 + frac{2n}{n+2}$. In the case of the second model the existence of the weak solution is proved for $p>1$.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 1","pages":"169-201"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74340441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 92
On the solvability of some multi-point boundary value problems 若干多点边值问题的可解性
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134310
C. P. Gupta, S. Ntouyas, P. Tsamatos
{"title":"On the solvability of some multi-point boundary value problems","authors":"C. P. Gupta, S. Ntouyas, P. Tsamatos","doi":"10.21136/am.1996.134310","DOIUrl":"https://doi.org/10.21136/am.1996.134310","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"2 1","pages":"1-17"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87619310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements 基于Reissner-Mindlin模型和混合插值单元的弹性板重量最小化
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134316
I. Hlavácek
{"title":"Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements","authors":"I. Hlavácek","doi":"10.21136/am.1996.134316","DOIUrl":"https://doi.org/10.21136/am.1996.134316","url":null,"abstract":"Summary. The problem to find an optimal thickness of the plate in a set of bounded Lipschitz continuous functions is considered. Mean values of the intensity of shear stresses must not exceed a given value. Using a penalty method and finite element spaces with interpolation to overcome the \"locking\" effect, an approximate optimization problem is proposed. We prove its solvability and present some convergence analysis.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"18 1","pages":"107-121"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90696262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical realization of a fictitious domain approach used in shape optimization. Part I: Distributed controls 形状优化中虚拟域方法的数值实现。第一部分:分布式控件
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134317
J. Daňková, J. Haslinger
{"title":"Numerical realization of a fictitious domain approach used in shape optimization. Part I: Distributed controls","authors":"J. Daňková, J. Haslinger","doi":"10.21136/am.1996.134317","DOIUrl":"https://doi.org/10.21136/am.1996.134317","url":null,"abstract":"Summary. We deal with practical aspects of an approach to the numerical realization of optimal shape design problems, which is based on a combination of the fictitious domain method with the optimal control approach. Introducing a new control variable in the right-hand side of the state problem, the original problem is transformed into a new one, where all the calculations are performed on a fixed domain. Some model examples are presented.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"16 1","pages":"123-147"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90139588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
A comparison of cointegration tests 协整检验的比较
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134335
Petr Mariel
{"title":"A comparison of cointegration tests","authors":"Petr Mariel","doi":"10.21136/am.1996.134335","DOIUrl":"https://doi.org/10.21136/am.1996.134335","url":null,"abstract":"In this paper some of the cointegration tests applied to a single equation are compared. Many of the existent cointegration tests are simply extensions of the unit root tests applied to the residuals of the cointegrating regression and the habitual $H_{0}$ is no cointegration. However, some non residual-based tests and some tests of the opposite null hypothesis have recently appeared in literature. Monte Carlo simulations have been used for the power comparison of the nine selected tests ($ADF$, $hat{Z}_{alpha }$, $hat{Z}_{t}$, $DHS$, $J1$, $H1$, $H2$, $C$, $LBI$) using several types of data generating processes.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"13 1","pages":"411-431"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82976123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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