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- 要約等In this article, we review the hybrid (hybrid......Galerkin (HDG) method based on a classical hybrid finite element method for second-order elliptic problems. Our HDG method was firstly ob......by stabilizing the simplified hyb......d displacement method. Optimal error estimates in the energy and L^{......ms were proved for the Poisson equation. The method was extended t......tion-diffusion problems by introducing......was verified mathematically and n......merically that the method is robust even in the convection-dom......ed case, where the standard finite element method fails due to its numerical in...
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- 内容細目Verification by Finite-Dimensional Pr......c Principle of the Verification Fixed-Point Formulation of the Problem Finite-Dimensional Pr......mple Enclosure Method of Solutions Criterion for Infinite-Dimensional Part Criterion for Finite-Dimensional Pa......Application to the Second-Order Elliptic Boundary Value Problems Dirichlet Boundary Value Problems Constructive E......ear Triangular Element Fourier Basis ......ple of FS-Int Other Examples of F......ain An Example for ... -Error Est......convex Polygon Finite-Element Approximation Computation of the Constant c₂(h)......Computation of the Constants c₃ a......Computation of the Constant K₁ Computation of th...
- 件名Differential equations, Partial. Automatic theorem proving. Numerical calcul...
- タイトル標目Springer series in computational mathematics ; 53. 0179-3632
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- 一般注記Description based on the latest issue F......ransactions of the Japan Society of Aeronautical...
- 並列タイトル等(連結)Transactions of the Japan Society of Aeronautical...
- 並列タイトル等Transactions of the Japan Society of Aeronautical...
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- 目次・記事...Considerations for Nonlinear Anal......iscrete System for a Nonlinear Co......nuum Model 2.2 Finite Element Formulation for Equilibrium Eq......oordinate Transformations 2-6 2.4......daptability of the solution proce.......4 Line Search Method 3-16 3.5 Quasi-Newton Method 3-27 3.6 Conve......3.7 Arc-Length Methods 3-46 4.Direct......nt Integration Method 4-3 4.3 Adapti......5 Verification Problems 4-19 5.Materia......6.Adaptive Gap Element 6-1 6.1 Introd......Considerations for GAP Element 6-3 6.3 User Interface for GAP Element 6-5 6.4 Theoretical Basis for Friction 6-9 6......lastic-Creep Deformation 7.2 Parametric Study on...
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- 要約等The method of arbitrary l......onal reduction methodology for elliptic boundary value problems (BVP) in arbit......l problem, and the good results h......k, we consider the extension of the MAL to three-d...... We first give the MAL formulation of thr......elasto-plastic problems. Although the MAL formulation is derived from the principle of t......ork as well as the finite element method (FEM), the MAL is differe......nctions along other two direction......increment into the principle of t......ystem of ODEs. The three-dimensio......l, which was a method of the solder joints ......tic problem at the good accuracy was possible by...
- 参照... new iterative method for elastic-plastic stress analys...
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- 一般注記Description based on the latest issue
- 改題前Proceedings of the Japan Academy
- 並列タイトル等(連結)日本学士院紀要. A, Mathematical science
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- 一般注記Description based on the latest issue With suppl
- 異版Journal of the Physical Socie......of Japan [Microform] Journal of the Physical Society of Japan [El...
- 改題前Proceedings of the Physico-Mathematical Society of Japan (ISSN...
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- 一般注記Held in Tokushima, July 10-12, 2001 Title on spine: Proceedings of the ITC-CSCC 2001
- 典拠情報(Author Heading/「を見よ」参照)Institute of Electronics, Information and Communication Engin...
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- 件名数学. 応用数学. Mathematics -- Handbooks, manuals, ...
- 並列タイトル等(連結)Applied mathematics.
- 並列タイトル等Applied mathematics.
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- 目次・記事...I DYNAMIC MESH METHODS Refinement Al......ata Structures for Regular Local ...... Madsen Moving Finite Elements in 2-D: Fluid......Time-Dependent Finite Element Calculations/ ......esh Refinement for 1-Dimensional ......rid Control in the RAMA Code/ 49 ......ction II CODES FOR ODE's AND PDE'....... Petzold Some Methods for Minimizing Jac......arge-Scale ODE Problems/ 69 G.R. Dissi......chiesser Using the Method of Lines Techn......oisson Solvers for Fluid Dynamics......rojection, and the Navier-Stokes Equations for General Domain......ler Effects on the Performance of Elliptic PDE Software/ ......R PERTURBATION PROBLEMS On the Numerical Solution of ...
- 件名科学. データ処理 (主題区分) Science -- Mathematics -- Congresses. Science ...
- 一般注記Based on papers presented at the Tenth IMACS World Congress on...
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- 改題前Proceedings of the Physico-Mathematical Society of Japan (ISSN...
- 典拠情報(Author Heading/「を見よ」参照)Mathematical Society of Japan
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- 参照Extending Babuška-Aziz’s theorem to higher-......alerkin scheme for convection-diffusion problems Behavior of La......n solutions to the Navier‐Stokes problem for small time inc......ular solutions for the Poisson equati......terior penalty method for nearly incompr......timation under the maximum norm for linear Lagrang......alerkin Scheme for the Oseen Problem ......te compactness for some discontin......s Galerkin FEM Finite element approximations......roximations to the Stationary Rad......sport Equation The Lewy-Stampacchia inequality for the fractional Lap......lastoplastic Deformations of Laye......rror estimates for Lagrange interpolation on tri...
- 出版者(掲載誌)Society for Industrial and Applied Mathematics
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- 件名Differential equations, Elliptic -- Numerical s......Boundary value problems -- Numerical solutions Finite element method
- 件名(識別子)Differential equations, Elliptic -- Numerical s......Boundary value problems -- Numerical solutions Finite element method
- 一般注記...publication of the work first pub......m, New York, Oxford, 1978. Includes bibliographi...
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- 要約等...th convergence theorems of the Galerkin finite element approximation for the second-order elliptic boundary value problems. Under some qu...... show not only the pointwise conv......lso prove that the norm of approx......r converges to the corresponding norm for the inverse of a linear elliptic operator. Since the approximate no......ential role in the numerical verification method of solutions for non-linear elliptic problems, our result is......s validity. Furthermore, the present method can also be ap......o more general elliptic problems, e.g., biharmonic problems and so on.</jats:p>
- 件名... Engineering Information Systems ......tions Research Theoretical Computer Science
- 参照Some Remarks on the Rigorous Estim......Inverse Linear Elliptic Operators The Mathematical Theory of Finite Element Methods Some considerations of the invertibility verifications for linear elliptic operators A po......erse operators for boundary value problems in linear elliptic partial differ......ound estimates for resolvents of ......erator on an infinite-dimensional Hi......lue inclusions for second-order o......rical homotopy method Numerical Verification Methods and Computer-......ssisted Proofs for Partial Differ......n of solutions for nonlinear oper......ry A Numerical Method to Verify the Invertibility of Linear Ellip...
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- 件名...ous) Applied Mathematics Computational Mathematics Modeling and Simulation...
- 参照A domain decomposition technique based on the multiscale seamless-domain method
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- 要約等<p>The standard <ital......nuous Galerkin methods requires addi...... regularity on the solution of the elliptic boundary value......der to justify the Galerkin ortho...... and to handle the normal derivative on element interfaces that appear in the discrete energ......nuous Galerkin methods is developed using only the <inline-formula content-ty......math> </inline-formula> weak formulation of a b...... order <inline-formula content-ty......math> </inline-formula>. This is ......d by replacing the Galerkin ortho......s well defined for functions in <inline-formula content-ty......math> </inline-formula>.</p>
- 件名Applied Mathematics Computational Mathematics Algebra and Number Theory
- 参照...Raviart–Thomas finite-element error analysis......shes violating the maximum-angle condition The Crouzeix–Raviart element for the Stokes equations with the slip boundary condition on a ...
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- 要約等... <jats:p>The fictitious domain method with <jats:ita......s:sup>-penalty for elliptic problems is considered....... way to derive the sharp error es......imates between the solutions of original elliptic problems and their <jats:italic......s:sup>-penalty problems, which can be ......dary maintaing the sharpness of the error estimate......ome regularity theorems for <jats:italic>H......s:sup>-penalty problems. The <jats:italic>P....../jats:italic>1 finite element approximation ......s:sup>-penalty problems is investigate......imates between the solutions of <......s:sup>-penalty problems and discrete problems in <jat...
- 件名Applied Mathematics General Engineering
- 参照Analysis of the Fictitious Domain Method with an<i>L</i......</sup>-Penalty for Elliptic Problems Penalty Method for the Stationary Navier–Stokes Problems Under the Slip Boundary Condition The fictitious domain method for the Stokes problem with Neumann/f...