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Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type 一类非单调型拟线性椭圆型边值问题的高阶有限元逼近
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1996-01-01 DOI: 10.21136/am.1996.134338
Liping Liu, M. Křížek, P. Neittaanmäki
{"title":"Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type","authors":"Liping Liu, M. Křížek, P. Neittaanmäki","doi":"10.21136/am.1996.134338","DOIUrl":"https://doi.org/10.21136/am.1996.134338","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"73 1","pages":"467-478"},"PeriodicalIF":0.7,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80371681","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: 17
Optimal design problems for a dynamic viscoelastic plate. I. Short memory material 动态粘弹性板的优化设计问题。1 .短时记忆材料
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/am.1995.134295
I. Bock
{"title":"Optimal design problems for a dynamic viscoelastic plate. I. Short memory material","authors":"I. Bock","doi":"10.21136/am.1995.134295","DOIUrl":"https://doi.org/10.21136/am.1995.134295","url":null,"abstract":"Summary. We deal with an optimal control prob l em with respect to a variable thickness for a dynamic viscoelastic plate with velocity constraints. The state problem has the form of a pseudohyperbolic variational inequa l ity. The existence and uniqueness theorem for the state prob l em and the existence of an optima l thickness function are proved.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"23 1","pages":"285-304"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84649669","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
A parallel algorithm for two phase multicomponent contaminant transport 两相多组分污染物迁移的并行算法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/am.1995.134289
T. Arbogast, C. Dawson, M. Wheeler
{"title":"A parallel algorithm for two phase multicomponent contaminant transport","authors":"T. Arbogast, C. Dawson, M. Wheeler","doi":"10.21136/am.1995.134289","DOIUrl":"https://doi.org/10.21136/am.1995.134289","url":null,"abstract":"Summary. We discuss the formulation o f a simulator in three spatial dimensions for a multicomponent, two phase (air, water) system of groundwater flow and transport with biodegradation kinetics and wells with multiple screens. The simulator has been devel oped for parallel, distributed memory, message passing machines. The numerical proce dures employed are a fully implicit expanded mixed finite element method for flow and either a characteristics-mixed method or a Godunov method for transport and reactions of dissolved chemical species in groundwater. Domain decomposition, symmetric and nonsymmetric solvers have been developed for solving the systems of equations resulting from the discretization of the model. Results from applying this simu l ator to a bioremediation field problem with several injection and production wells each having multiple screens are presented.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"6 1","pages":"163-174"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76000869","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
3-parametric robot manipulator with intersecting axes 三参数交轴机器人机械手
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/AM.1995.134284
Jerzy Gądek
{"title":"3-parametric robot manipulator with intersecting axes","authors":"Jerzy Gądek","doi":"10.21136/AM.1995.134284","DOIUrl":"https://doi.org/10.21136/AM.1995.134284","url":null,"abstract":"A $p$-parametric robot manipulator is a mapping $g$ of $mathbb{R}^p$ into the homogeneous space $P=(C_6times C_6)/mathop{rm Diag}(C_6times C_6)$ represented by the formula $g(u_1,u_2,dots ,u_p)=exp (u_1 X^1)cdot dots cdot exp (u_p X^p)$, where $C_6$ is the Lie group of all congruences of $E_3$ and $X^1,X^2,dots ,X^p$ are fixed vectors from the Lie algebra of $C_6$. In this paper the $3$-parametric robot manipulator will be expressed as a function of rotations around its axes and an invariant of the motion of this robot manipulator will be given. Most of the results presented here have been obtained during the author’s stay at Charles University in Prague.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"63 1","pages":"131-145"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73915995","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
Convergent algorithms suitable for the solution of the semiconductor device equations 适用于半导体器件方程求解的收敛算法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/am.1995.134283
Miroslav Pospíšek
{"title":"Convergent algorithms suitable for the solution of the semiconductor device equations","authors":"Miroslav Pospíšek","doi":"10.21136/am.1995.134283","DOIUrl":"https://doi.org/10.21136/am.1995.134283","url":null,"abstract":"Summary. In this paper, two algorithms are proposed to so l ve systems of a l gebraic equations generated by a discretization procedure of the weak formu l ation of boundary va l ue prob l ems for systems of non l inear e ll iptic equations. The first a l gorithm, Newton-CG-MG, is suitab l e for systems with gradient mappings, whi l e the second, Newton-CE-MG, can be app l ied to more genera l systems. Convergence theorems are proved and app l ication to the semiconductor device mode ll ing is described.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"28 1","pages":"107-130"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86127797","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
A matrix constructive method for the analytic-numerical solution of coupled partial differential systems 耦合偏微分系统解析-数值解的矩阵构造方法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/am.1995.134302
L. Jódar, E. Navarro, M. Ferrer
{"title":"A matrix constructive method for the analytic-numerical solution of coupled partial differential systems","authors":"L. Jódar, E. Navarro, M. Ferrer","doi":"10.21136/am.1995.134302","DOIUrl":"https://doi.org/10.21136/am.1995.134302","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"39 1","pages":"391-400"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85744350","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
Linear-quadratic estimators in a special structure of thelinear model 线性二次估计是线性模型的一种特殊结构
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/am.1995.134282
G. Wimmer
{"title":"Linear-quadratic estimators in a special structure of thelinear model","authors":"G. Wimmer","doi":"10.21136/am.1995.134282","DOIUrl":"https://doi.org/10.21136/am.1995.134282","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"46 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84237891","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
Interpolating and smoothing biquadratic spline 插值和平滑双二次样条
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/am.1995.134298
R. Kučera
{"title":"Interpolating and smoothing biquadratic spline","authors":"R. Kučera","doi":"10.21136/am.1995.134298","DOIUrl":"https://doi.org/10.21136/am.1995.134298","url":null,"abstract":"The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic splines and their bases are given by the so-called fundamental splines.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"19 1","pages":"339-356"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77932588","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
An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection 具有主导对流的一维非平稳对流扩散问题的显式特征修正方法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/am.1995.134300
J. Dalík, H. Růžičková
{"title":"An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection","authors":"J. Dalík, H. Růžičková","doi":"10.21136/am.1995.134300","DOIUrl":"https://doi.org/10.21136/am.1995.134300","url":null,"abstract":"We describe a numerical method for the equation $u_t + pu_x - varepsilon u_{xx} = f$ in $(0,1) times (0,T)$ with Dirichlet boundary and initial conditions which is a combination of the method of characteristics and the finite-difference method. We prove both an a priori local error-estimate of a high order and stability. Example 3.3 indicates that our approximate solutions are disturbed only by a minimal amount of the artificial diffusion.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"183 1","pages":"367-380"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77484058","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: 3
Double points on characteristics 双点特征
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 1995-01-01 DOI: 10.21136/am.1995.134301
O. Röschel
{"title":"Double points on characteristics","authors":"O. Röschel","doi":"10.21136/am.1995.134301","DOIUrl":"https://doi.org/10.21136/am.1995.134301","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"1 1","pages":"381-390"},"PeriodicalIF":0.7,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77519509","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
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