期刊文献+
任意字段
题名或关键词
题名
关键词
摘要
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息
共找到393篇文章
< 1 2 … 20 >
每页显示 20 50 100
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
显示方式：
PRIMAL HYBRID FINITE ELEMENT METHOD FOR PARABOLIC PROBLEMS WITH GRADIENT TYPE NON-LINEARITY 认领 引用
1
作者 Ravina SHOKEEN Ajit PATEL Divay GARG 《Acta Mathematica Scientia》 SCIE CSCD 2026年第2期1011-1035,共25页
This article develops the primal hybrid finite element method with Lagrange multipliers to approximate nonlinear parabolic initial-boundary value problems with gradient type non-linearity.A modified elliptic projectio... This article develops the primal hybrid finite element method with Lagrange multipliers to approximate nonlinear parabolic initial-boundary value problems with gradient type non-linearity.A modified elliptic projection is used to produce optimal order error estimates for the semi-discrete and backward Euler-based complete discrete schemes.In addition,error estimates in L∞-norm are established which are optimal in nature.Superconvergence result of the gradient in L∞-norm is discussed for the error between the primal hybrid solution and elliptic projection.As a bi-product,the proposed analysis provides optimal error analysis for non-conforming CR-elements.Finally,numerical tests are performed to validate the theoretical findings. 展开更多
关键词 primal hybrid method(PHM) modified elliptic projection strongly non-linear parabolic problem semi-discrete method Lagrange multiplier complete discrete method numerical results
暂未订购 下载PDF
Fourth Order Compact Finite Volume Methods for 1D Elliptic and Parabolic Equations on Non-uniform Meshes 认领 引用
2
作者 ZHOU Lei WANG Feng WANG Tongke 《应用数学》 北大核心 2026年第2期342-359,共18页
This paper studies high order compact finite volume methods on non-uniform meshes for one-dimensional elliptic and parabolic differential equations with the Robin boundary conditions.An explicit scheme and an implicit... This paper studies high order compact finite volume methods on non-uniform meshes for one-dimensional elliptic and parabolic differential equations with the Robin boundary conditions.An explicit scheme and an implicit scheme are obtained by discretizing the equivalent integral form of the equation.For the explicit scheme with nodal values,the algebraic system can be solved by the Thomas method.For the implicit scheme with both nodal values and their derivatives,the system can be implemented by a prediction-correction procedure,where in the correction stage,an implicit formula for recovering the nodal derivatives is introduced.Taking two point boundary value problem as an example,we prove that both the explicit and implicit schemes are convergent with fourth order accuracy with respect to some standard discrete norms using the energy method.Two numerical examples demonstrate the correctness and effectiveness of the schemes,as well as the indispensability of using non-uniform meshes. 展开更多
关键词 Two point boundary value problem Parabolic equation Robin boundary condition Non-uniform mesh Fourth order compact finite volume scheme Predictioncorrection method Error estimate
暂未订购 下载PDF
Symmetry Reductions of Cauchy Problems for Fourth-Order Quasi-Linear Parabolic Equations 认领 引用 被引量：2
3
作者 李吉娜 张顺利 苏敬蕊 《Communications in Theoretical Physics》 SCIE CAS 2010年第1期28-36,共9页
This paper is devoted to studying symmetry reduction of Cauchy problems for the fourth-order quasi-linear parabolic equations that admit certain generalized conditional symmetries （GCSs）. Complete group classificati... This paper is devoted to studying symmetry reduction of Cauchy problems for the fourth-order quasi-linear parabolic equations that admit certain generalized conditional symmetries （GCSs）. Complete group classification results are presented, and some examples are given to show the main reduction procedure. 展开更多
关键词 fourth-order quasi-linear parabolic equation symmetry reduction Cauchy problem
暂未订购 下载PDF
Finite volume element method for analysis of unsteady reaction-diffusion problems 认领 引用 被引量：1
4
作者 Sutthisak Phongthanapanich Pramote Dechaumphai 《Acta Mechanica Sinica》 SCIE EI CAS 2009年第4期481-489,共9页
A finite volume element method is developed for analyzing unsteady scalar reaction-diffusion problems in two dimensions. The method combines the concepts that are employed in the finite volume and the finite element m... A finite volume element method is developed for analyzing unsteady scalar reaction-diffusion problems in two dimensions. The method combines the concepts that are employed in the finite volume and the finite element method together. The finite volume method is used to discretize the unsteady reaction-diffusion equation, while the finite element method is applied to estimate the gradient quantities at cell faces. Robustness and efficiency of the combined method have been evaluated on uniform rectangular grids by using available numerical solutions of the two-dimensional reaction-diffusion problems. The numerical solutions demonstrate that the combined method is stable and can provide accurate solution without spurious oscillation along the high-gradient boundary layers. 展开更多
关键词 Finite volume element method Explicitmethod Unsteady problem Singularly perturbed equation Reaction-diffusion
暂未订购 下载PDF
A POSTERIORI ERROR ESTIMATES OF FINITEELEMENT METHOD FOR PARABOLIC PROBLEMS 认领 引用 被引量：2
5
作者 陈艳萍 《Acta Mathematica Scientia》 SCIE 1999年第4期449-456,共8页
This paper deals with a-posteriori error estimates for piecewise linear finite element approximations of parabolic problems in two space dimensions. The analysis extends previous results for elliptic problems to the p... This paper deals with a-posteriori error estimates for piecewise linear finite element approximations of parabolic problems in two space dimensions. The analysis extends previous results for elliptic problems to the parabolic context. 展开更多
关键词 Aposteriori error estimates finite element method parabolic problem
暂未订购 下载PDF
A SINGLE STEP SCHEME WITH HIGH ACCURACY FOR PARABOLIC PROBLEM 认领 引用 被引量：1
6
作者 陈传淼 胡志刚 《Acta Mathematica Scientia》 SCIE 2001年第2期237-242,共6页
A single step scheme with high accuracy for solving parabolic problem is proposed. It is shown that this scheme possesses good stability and fourth order accuracy with respect to both time and space variables, which a... A single step scheme with high accuracy for solving parabolic problem is proposed. It is shown that this scheme possesses good stability and fourth order accuracy with respect to both time and space variables, which are superconvergent. 展开更多
关键词 Parabolic problem single step scheme fourth order accuracy
暂未订购 下载PDF
INVERSE COEFFICIENT PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES 认领 引用 被引量：1
7
作者 刘振海 I. Szntó 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1318-1326,共9页
This paper is devoted to the class of inverse problems for a nonlinear parabolic hemivariational inequality. The unknown coefficient of the operator depends on the gradient of the solution and belongs to a set of admi... This paper is devoted to the class of inverse problems for a nonlinear parabolic hemivariational inequality. The unknown coefficient of the operator depends on the gradient of the solution and belongs to a set of admissible coefficients. It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence. Based on this result the existence of a quasisolution of the inverse problem is obtained. 展开更多
关键词 parabolic hemivariational inequalities inverse coefficient problems existence of quasisolutions
暂未订购 下载PDF
Improving the Stability Problem of the Finite Difference Scheme for Reaction-diffusion Equation 认领 引用 被引量：2
8
作者 XU Chen-mei 《Chinese Quarterly Journal of Mathematics》 北大核心 2008年第3期403-408,共6页
This paper deals with the special nonlinear reaction-diffusion equation. The finite difference scheme with incremental unknowns approximating to the differential equation （2.1） is set up by means of introducing incr... This paper deals with the special nonlinear reaction-diffusion equation. The finite difference scheme with incremental unknowns approximating to the differential equation （2.1） is set up by means of introducing incremental unknowns methods. Through the stability analyzing for the scheme, it was shown that the stability conditions of the finite difference schemes with the incremental unknowns are greatly improved when compared with the stability conditions of the corresponding classic difference scheme. 展开更多
关键词 reaction-diffusion equation difference scheme stability problem incremental unknowns
暂未订购 下载PDF
Asymptotic solution of nonlocal nonlinear reaction-diffusion Robin problems with two parameters 认领 引用 被引量：1
9
作者 莫嘉琪 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第8期1003-1008,共6页
In this paper, the nonlocal nonlinear reaction-diffusion singularly perturbed problems with two parameters are studied. Using a singular perturbation method, the structure of the solutions to the problem is discussed ... In this paper, the nonlocal nonlinear reaction-diffusion singularly perturbed problems with two parameters are studied. Using a singular perturbation method, the structure of the solutions to the problem is discussed in relation to two small parameters. The asymptotic solutions of the problem are given. 展开更多
关键词 problem reaction-diffusion system singular perturbation initial boundary value
暂未订购 下载PDF
CONVERGENCE OF THE CRANK-NICOLSON/NEWTON SCHEME FOR NONLINEAR PARABOLIC PROBLEM 认领 引用
10
作者 冯新龙 何银年 《Acta Mathematica Scientia》 SCIE CSCD 2016年第1期124-138,共15页
In this paper, the Crank-Nicolson/Newton scheme for solving numerically second- order nonlinear parabolic problem is proposed. The standard Galerkin finite element method based on P2 conforming elements is used to the... In this paper, the Crank-Nicolson/Newton scheme for solving numerically second- order nonlinear parabolic problem is proposed. The standard Galerkin finite element method based on P2 conforming elements is used to the spatial discretization of the problem and the Crank-Nieolson/Newton scheme is applied to the time discretization of the resulted finite element equations. Moreover, assuming the appropriate regularity of the exact solution and the finite element solution, we obtain optimal error estimates of the fully discrete Crank- Nicolson/Newton scheme of nonlinear parabolic problem. Finally, numerical experiments are presented to show the efficient performance of the proposed scheme. 展开更多
关键词 nonlinear parabolic problem Crank-Nicolson scheme Newton method finiteelement method optimal error estimate
暂未订购 下载PDF
INITIAL-OBLIQUE DERIVATIVE PROBLEMS FOR NONLINEAR PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS 认领 引用
11
作者 闻国椿 许作良 《Acta Mathematica Scientia》 SCIE 2003年第1期67-73,共7页
This paper deals with some initial-oblique derivative boundary value problems for nonlinear nondivergent parabolic systems of several second order equations with measurable coefficients in multiply connected domains. ... This paper deals with some initial-oblique derivative boundary value problems for nonlinear nondivergent parabolic systems of several second order equations with measurable coefficients in multiply connected domains. Firstly, a priori estimates of solutions for the initial-boundary value problems are given, and then by using the above estimates of solutions and the Leray-Schauder theorem, the existence and uniqueness of solutions for the problems are proved. 展开更多
关键词 Nonlinear parabolic systems with measurable coefficients initial-oblique derivative problems multiply connected domains
暂未订购 下载PDF
OSCILLATION OF SOLUTIONS FOR A CLASS OF NONLINEAR NEUTRAL PARABOLIC DIFFERENTIAL EQUATIONS BOUNDARY VALUE PROBLEM 认领 引用
12
作者 王培光 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第5期585-590,共6页
A class of nonlinear neutral partial differential equations,uas considered, and some oscillation criteria for such equations subject to two different boundary value conditions are established.
关键词 parabolic equation boundary value problem oscillation
暂未订购 下载PDF
THE CONVERGENCE OF A DOMAIN DECOMPOSITION ALGORITHM FOR PARABOLIC PROBLEMS 认领 引用
13
作者 储德林 周方俊 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 1993年第2期162-175,共14页
At recent, Hourgat et gave a domain decomposition algorithm for elliptic problems which can be implemented in parallel. Many numerical experiments have illustrated its efficiency. In the present paper, we apply this a... At recent, Hourgat et gave a domain decomposition algorithm for elliptic problems which can be implemented in parallel. Many numerical experiments have illustrated its efficiency. In the present paper, we apply this algorithm to solve the discrete parabolic problems, analyse its convergence and show that its convergence rale is about (1 - 2p + σp2 ) which is nearly optimal and independent of the parameter τ, where σ τ O((1 +H )(1 + ln(H / h))2 ). 0 【 p 【 1 / σ,τ,h,H are the time step size, finite element parameter and subdomain diameter, respectively. 展开更多
关键词 Domain decomposition trace average operator convergence parabolic problem.
暂未订购 下载PDF
MONOTONICITY FORMULAS FOR PARABOLIC FREE BOUNDARY PROBLEMS ON CONES 认领 引用 被引量：1
14
作者 Chung-Kwong CHAN Huichun ZHANG Xiping ZHU 《Acta Mathematica Scientia》 SCIE CSCD 2022年第6期2193-2203,共11页
Monotonicity formulas play a central role in the study of free boundary problems.In this note,we develop a Weiss-type monotonicity formula for solutions to parabolic free boundary problems on metric measure cones.
关键词 smonotonicity formula parabolic free boundary problem RCD-spaces
暂未订购 下载PDF
THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION 认领 引用
15
作者 苏煜城 沈全 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第11期1047-1056,共10页
The numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed. A nonlinear two-level difference scheme is constructed on the sp... The numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed. A nonlinear two-level difference scheme is constructed on the special non-uniform grids. The uniform con vergence of this scheme is proved and some numerical examples are given. 展开更多
关键词 semilinear parabolic differential equation singularly perturbed problem finite difference method uniform convergence
暂未订购 下载PDF
Parabolic Partial Differential Equations as Inverse Moments Problem 认领 引用 被引量：4
16
作者 Maria B. Pintarelli 《Applied Mathematics》 2016年第1期77-99,共23页
We considerer parabolic partial differential equations under the conditions on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve... We considerer parabolic partial differential equations under the conditions on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse moments problem. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on moments problem. Also we consider the one- dimensional one-phase inverse Stefan problem. 展开更多
关键词 Parabolic PDEs Freholm Integral Equations Generalized Moment Problem
暂未订购 下载PDF
Residual-type a posteriori error estimate for parabolic obstacle problems 认领 引用
17
作者 李京梁 马和平 《Journal of Shanghai University(English Edition)》 2006年第6期473-478,共6页
In this paper, a posteriori error estimates were derived for piecewise linear finite element approximations to parabolic obstacle problems. The instrumental ingredient was introduced as a new interpolation operator wh... In this paper, a posteriori error estimates were derived for piecewise linear finite element approximations to parabolic obstacle problems. The instrumental ingredient was introduced as a new interpolation operator which has optimal approximation properties and preserves positivity. With the help of the interpolation operator the upper and lower bounds were obtained. 展开更多
关键词 finite element approximations variational inequalities parabolic obstacle problems a posteriori error estimates.
暂未订购 下载PDF
ON THE CAUCHY PROBLEM OF NONLINEAR DEGENERATE PARABOLIC EQUATION 认领 引用
18
作者 YANG JINSHUN 《Applied Mathematics(A Journal of Chinese Universities)》 1995年第2期155-166,共12页
In this paper, we prove the existence of solution of the Cauchy problem of a nonlinear degenerate parabolic equation. Moreover some regularizing effects are exhibited.
关键词 Nonlinear degenerate parabolic equation Cauchy problem regularity.
暂未订购 下载PDF
Entropy Unilateral Solution for Some Noncoercive Nonlinear Parabolic Problems Via a Sequence of Penalized Equations 认领 引用 被引量：1
19
作者 Ahmed Aberqi J.Bennouna H.Redwane 《Analysis in Theory and Applications》 CSCD 2017年第1期29-45,共17页
We give an existence result of the obstacle parabolic equations3b（x,u） div（a（x,t,u, Vu））＋div（（x,t,u））=f in QT, 3twhere b（x,u） is bounded function ot u, the term atva,x,r,u, v u）） is a Letay type operato... We give an existence result of the obstacle parabolic equations3b（x,u） div（a（x,t,u, Vu））＋div（（x,t,u））=f in QT, 3twhere b（x,u） is bounded function ot u, the term atva,x,r,u, v u）） is a Letay type operator and the function is a nonlinear lower order and satisfy only the growth condition. The second term belongs to L1 （QT）. The proof of an existence solution is based on the penalization methods. 展开更多
关键词 Obstacle parabolic problems entropy solutions penalization methods.
暂未订购 下载PDF
On Singular Solutions of Boundary Value Problems for Quasilinear Parabolic Equations with Absorption 认领 引用 被引量：2
20
作者 Wang Shuyan 《Northeastern Mathematical Journal》 1997年第3期340-348,共9页
The existence and nonexistence of non-trivial solutions for the boundary value problem■are studied.
关键词 Quasilinear Parabolic Equation Dirichlet Problem Non-trivial Solution
暂未订购 下载PDF
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
上一页 1 2 … 20 下一页 到第 页
在线咨询 使用帮助 返回顶部 意见反馈