首页 | 本学科首页   官方微博 | 高级检索  
文章检索
  按 检索   检索词:      
出版年份:   被引次数:   他引次数: 提示:输入*表示无穷大
  收费全文   8篇
  免费   2篇
化学   1篇
力学   2篇
数学   6篇
物理学   1篇
  2023年   2篇
  2021年   1篇
  2018年   1篇
  2017年   1篇
  2014年   1篇
  2012年   1篇
  2011年   2篇
  2006年   1篇
排序方式: 共有10条查询结果,搜索用时 31 毫秒
1
1.
We aim to approximate contrast problems by means of a numerical scheme which does not require that the computational mesh conforms with the discontinuity between coefficients. We focus on the approximation of diffusion-reaction equations in the framework of finite elements. In order to improve the unsatisfactory behavior of Lagrangian elements for this particular problem, we resort to an enriched approximation space, which involves elements cut by the interface. Firstly, we analyze the H1-stability of the finite element space with respect to the position of the interface. This analysis, applied to the conditioning of the discrete system of equations, shows that the scheme may be ill posed for some configurations of the interface. Secondly, we propose a stabilization strategy, based on a scaling technique, which restores the standard properties of a Lagrangian finite element space and results to be very easily implemented. We also address the behavior of the scheme with respect to large contrast problems ending up with a choice of Nitsche?s penalty terms such that the extended finite element scheme with penalty is robust for the worst case among small sub-elements and large contrast problems. The theoretical results are finally illustrated by means of numerical experiments.  相似文献   
2.
In a recent work, we introduced a finite element approximation for the shape optimization of an elastic structure in sliding contact with a rigid foundation where the contact condition (Signorini’s condition) is approximated by Nitsche’s method and the shape gradient is obtained via the adjoint state method. The motivation of this work is to propose an a priori convergence analysis of the numerical approximation of the variables of the shape gradient (displacement and adjoint state) and to show some numerical results in agreement with the theoretical ones. The main difficulty comes from the non-differentiability of the contact condition in the classical sense which requires the notion of conical differentiability.  相似文献   
3.
4.
In this paper, we propose and analyze a method derived from a Nitsche approach for handling boundary conditions in the Maxwell equations. Several years ago, the Nitsche method was introduced to impose weakly essential boundary conditions in the scalar Laplace operator. Then, it has been worked out more generally and transferred to continuity conditions. We propose here an extension to vector div–curl problems. This allows us to solve the Maxwell equations, particularly in domains with reentrant corners, where the solution can be singular. We formulate the method for both the electric and magnetic fields and report some numerical experiments.  相似文献   
5.
在等几何框架内,基于Nitsche方法推导了二维无摩擦弹性接触列式,采用基于BFGS逆更新的拟牛顿迭代格式求解.提出了Nitsche接触列式中罚系数的经验公式和拟牛顿求解时迭代的初始化方法,研究了基于割线刚度阵的修正方法以克服因接触面变化而导致的迭代发散.所提出的接触分析方法在粗糙网格下也能精确描述接触边界,列式推导简单,计算量小.算例表明了接触列式和求解方法的有效性.  相似文献   
6.
A simple sensitive LC–MS/MS method has been developed for the simultaneous determination of giraldoid A and giraldoid B in rat plasma. The method was applied to pharmacokinetics studies of the two compounds from Daphne giraldii Nitsche. Chromatographic separation was accomplished on an Acquity UPLC™ BEH C18 column (100 × 2.1 mm, 1.7 mm) by gradient elution with a flow rate of 0.2 mL min−1. The method was linear over the concentration range of 1.0–1000 ng mL−1, and the lower limits of quantification were 1.04 ± 0.10 and 1.04 ± 0.09 ng mL−1, respectively. The intra‐ and inter‐day precisions (RSD) were <10.14 and 9.96%. The extraction recovery of the analytes was acceptable. Stability studies demonstrated that the two compounds were stable in the preparation and analytical process. The maximum plasma concentration was 687.78 ± 243.62 ng mL−1 for giraldoid A and 952.38 ± 131.99 ng mL−1 for giraldoid B. The time to reach the maximum plasma concentration was 0.50 ± 0.37 h for giraldoid A and 0.50 ± 0.66 h for giraldoid B. The validated method was successfully applied to investigate the concentration–time profiles of giraldoid A and giraldoid B.  相似文献   
7.
等几何分析中采用Nitsche法施加位移边界条件   总被引:1,自引:0,他引:1  
陈涛  莫蓉  万能  宫中伟 《力学学报》2012,(2):369-381
等几何分析使用NURBS基函数统一表示几何和分析模型,消除了传统有限元的网格离散误差,容易构造高阶连续的协调单元.对于结构分析,选择合适的几何参数可以得到光滑的应力解,避免了后置处理的应力磨平.但是由于NURBS基函数不具备插值性,难以直接施加位移边界条件.针对这一问题,提出一种基于Nitsche变分原理的边界位移条件"弱"处理方法,它具有一致稳定的弱形式,不增加自由度,方程组对称正定和不会产生病态矩阵等优点.同时给出方法的稳定性条件,并通过求解广义特征值问题计算稳定性系数.最后,数值算例表明Nitsche方法在h细化策略下能获得最优收敛率,其结果要明显优于在控制顶点处直接施加位移约束.  相似文献   
8.
We present and analyze a nonconforming domain decomposition approximation for a hypersingular operator governed by the Helmholtz equation in three dimensions. This operator appears when considering the corresponding Neumann problem in unbounded domains exterior to open surfaces. We consider small wave numbers and low‐order approximations with Nitsche coupling across interfaces. Under appropriate assumptions on mapping properties of the weakly singular and hypersingular operators with Helmholtz kernel, we prove that this method converges almost quasioptimally, that is, with optimal orders reduced by an arbitrarily small positive number. Numerical experiments confirm our error estimate. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 125–141, 2017  相似文献   
9.
The Fourier-finite-element method with Nitsche mortaring   总被引:1,自引:0,他引:1  
** Email: bernd.heinrich{at}mathematik.tu-chemnitz.de The paper deals with a combination of the Fourier-finite-elementmethod with the Nitsche-finite-element method (as a mortar method).The approach is applied to the Dirichlet problem for the Poissonequation in 3D axisymmetric domains with non-axisymmetric data.The approximating Fourier method yields a splitting of the 3Dproblem into 2D problems on the meridian plane of the givendomain. For solving these 2D problems, the Nitsche-finite-elementmethod with non-matching meshes is applied. Some important propertiesof the approximation scheme are derived and the rate of convergencein an H1-like norm as well as in the L2-norm is estimated fora regular solution. Finally, some numerical results are presented.  相似文献   
10.
In this article, we consider a class of unfitted finite element methods for scalar elliptic problems. These so-called CutFEM methods use standard finite element spaces on a fixed unfitted triangulation combined with the Nitsche technique and a ghost penalty stabilization. As a model problem we consider the application of such a method to the Poisson interface problem. We introduce and analyze a new class of preconditioners that is based on a subspace decomposition approach. The unfitted finite element space is split into two subspaces, where one subspace is the standard finite element space associated to the background mesh and the second subspace is spanned by all cut basis functions corresponding to nodes on the cut elements. We will show that this splitting is stable, uniformly in the discretization parameter and in the location of the interface in the triangulation. Based on this we introduce an efficient preconditioner that is uniformly spectrally equivalent to the stiffness matrix. Using a similar splitting, it is shown that the same preconditioning approach can also be applied to a fictitious domain CutFEM discretization of the Poisson equation. Results of numerical experiments are included that illustrate optimality of such preconditioners for the Poisson interface problem and the Poisson fictitious domain problem.  相似文献   
1
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号