检索结果-南通市图书馆

维普期刊数据库

MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2013年第1期34卷 113-138页

作者： Claude LE BRIS Frédéric LEGOLL Alexei LOZINSKI cole Nationale des Ponts et Chaussées 6 et 8 avenue Blaise Pascal INRIA Rocquencourt MICMAC project-team Institut de Mathématiques de Toulouse Université Paul Sabatier Laboratoire de Mathématiques CNRS UMR 6623 Université de Franche-Comté

We introduce and analyze a multiscale finite element type method (MsFEM) in the vein of the classical Crouzeix-Raviart finite element method that is specifically adapted for highly oscillatory elliptic problems. We il... 详细信息

关键词： Homogenization Finite elements galerkin methods Highly oscillatoryPDE

维普期刊数据库

On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

在线全文

学校读者我要写书评

暂无评论

Numerical Mathematics(Theory,methods and Applications) 2022年第1期15卷 91-124页

作者： Hui Liang School of Science Harbin Institute of TechnologyShenzhen518055China

Collocation and galerkin methods in the discontinuous and globally continuous piecewise polynomial spaces,in short,denoted as DC,CC,DG and CG methods respectively,are employed to solve second-kind Volterra integral equations(VIEs).It is proved that the quadrature DG and CG(QDG and QCG)methods obtained from the DG and CG methods by approximating the inner products by suitable numerical quadrature formulas,are equivalent to the DC and CC methods,*** addition,the fully discretised DG and CG(FDG and FCG)methods are equivalent to the corresponding fully discretised DC and CC(FDC and FCC)*** convergence theories are established for DG and CG methods,and their semi-discretised(QDG and QCG)and fully discretized(FDG and FCG)*** particular,it is proved that the CG method for second-kind VIEs possesses a similar convergence to the DG method for first-kind *** examples illustrate the theoretical results.

关键词： Volterra integral equations collocation methods galerkin methods discontinuous galerkin methods convergence analysis

NONLINEAR galerkin METHOD FOR THE EXTERIORNONSTATIONARY NAVIER-STOKES EQUATIONS

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2002年第11期23卷 1282-1291页

作者： HE Yin-nian(何银年) LI Kai-tai(李开泰) Department of Scientific Computing Faculty of Science Xi'' an Jiaotong University Xi''an 710049 P R China Department of Scientific Computing Faculty of Science Xi'' an Jiaotong University Xi''an 710049 P R China

A new algorithm combining nonlinear galerkin method and coupling method of finite element and boundary element is introduced to solve the exterior nonstationary Navier-Stokes equations. The regularity of the coupling variational formulation and the convergence of the approximate solution corresponding to the algorithm are proved. If the fine mesh h is chosen as coarse mesh H-square, the nonlinear galerkin method, nonlinearity is only treated on the coarse grid and linearity is treated on the fine grid. Hence, the new algorithm can save a large amount of computational time.

关键词： Boundary element method Convergence of numerical methods Finite element method galerkin methods Nonlinear equations Variational techniques

维普期刊数据库

Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation

在线全文

学校读者我要写书评

暂无评论

Communications in Computational Physics 2012年第1期11卷 179-214页

作者： M.Holst J.A.McCammon Z.Yu Y.C.Zhou Y.Zhu Department of Mathematics University of California at San DiegoLa JollaCA 92093USA Department of Physics University of California at San DiegoLa JollaCA 92093USA Department of Chemistry&Biochemistry University of California at San DiegoLa JollaCA 92093USA Center for Theoretical Biological Physics(CTBP) University of California at San DiegoLa JollaCA 92093USA National Biomedical Computation Resource(NBCR) University of California at San DiegoLa JollaCA 92093USA Howard Hughes Medical Institute University of California at San DiegoLa JollaCA 92093USA

We consider the design of an effective and reliable adaptive finite element method(AFEM)for the nonlinear Poisson-Boltzmann equation(PBE).We first examine the two-term regularization technique for the continuous problem recently proposed by Chen,Holst and Xu based on the removal of the singular electrostatic potential inside biomolecules;this technique made possible the development of the first complete solution and approximation theory for the Poisson-Boltzmann equation,the first provably convergent discretization and also allowed for the development of a provably convergent ***,in practical implementation,this two-term regularization exhibits numerical ***,we examine a variation of this regularization technique which can be shown to be less susceptible to such *** establish a priori estimates and other basic results for the continuous regularized problem,as well as for galerkin finite element *** show that the new approach produces regularized continuous and discrete problemswith the samemathematical advantages of the original *** then design an AFEM scheme for the new regularized problem and show that the resulting AFEM scheme is accurate and reliable,by proving a contraction result for the *** result,which is one of the first results of this type for nonlinear elliptic problems,is based on using continuous and discrete a priori L¥*** provide a high-quality geometric model as input to the AFEM algorithm,we also describe a class of feature-preserving adaptive mesh generation algorithms designed specifically for constructing meshes of biomolecular structures,based on the intrinsic local structure tensor of the molecular *** of the algorithms described in the article are implemented in the Finite Element Toolkit(FETK),developed and maintained at *** stability advantages of the new regularization scheme are demonstrated with FETK through comparisons with the original regula

关键词： Poisson-Boltzmann equation semi-linear partial differential equations supercritical nonlinearity singularity a priori L¥estimates existence uniqueness well-posedness galerkin methods discrete a priori L¥estimates quasi-optimal a priori error estimates adaptive finite methods contraction convergence optimality surface and volume mesh generation mesh improvement and decimation.

Energy-Preserving H1–galerkin Schemes for the Hunter-Saxton Equation

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2017年第1期37卷 107-118页

作者： Yuto MIYATAKE Geonsik EOM Tomohiro SOGABE Shaoliang ZHANG Department of Computational Science and Engineering Graduate School of EngineeringNagoya University

We consider the numerical integration of the Hunter–Saxton equation, which models the propagation of weakly nonlinear orientation waves. For the equation, we present two weak forms and their galerkin discretizations. The galerkin schemes preserve the Hamiltonian of the equation and can be implemented with cheap H1elements. Numerical experiments confirm the effectiveness of the schemes.

关键词： Hunter-Saxton equation energy-preservation galerkin methods

Handbook of sinc numerical methods

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论