Finite element methods : fifty years of the Courant element

목차 (Table of Contents)

• CONTENTS
• preface = ⅲ
• Contributors = ⅸ
• Conference Participants = xv
• Varitional Methods for the Solution of Problems of Equilibrium and Vibrations / R. Courant = 1
• Coupling Mortar Finite Element and Boundary Element Methods for 2D Navier-Stokes Equations / Y. Achdou ; 0. Pironneau = 25
• Courant Element: Before and After / Ivo Babuska = 37
• Iterative Methods for Solving Stiff Elliptic Problems / N. S. Bakhvalov = 53
• Straight and Curved Finite Elements of Class $$C^1$$ and Some Applications to Thin Shell Problems / M. Bernadou = 63
• Exact Controllability to Solve the Helmholtz Equation with Absorbing Boundary Conditions / M. O. Bristeau ; R. Glowinski ; J. Periaux = 79
• Cubic Version of FEM in Elliptic Problems with Interfaces and Singularities / P. Burda = 95
• Least-Squares Mixed Finite Elements / G. F. Carey ; A. Pehlivanov ; Y. Shen = 105
• Turbulence Modelling in Finite Element Industrial Applications / J. P. Chabard ; D. Laurence ; G. Pot ; N. E. Rharif = 119
• Necessary and Sufficient Conditions for the Numerical Approximation of a Partial Differential Equation Depending on a Small Parameter / Denise Chenais ; Jean-Claude Paumier ; Martin Zerner = 133
• Efficient Solution Methods for Compressible Flow Computations / M. C. Ciccoli ; A. Dervieux ; J.-A. D$$\acute e$$sid$$\acute e$$ri ; E. Morano = 141
• Parallel Finite Volume Algorithms for Solving the Time-Domain Maxwell Equations on Nonstructured Meshes / J. P. Cioni ; L. Fezoui ; H. Steve = 153
• Coupling Between Nonlinear Maxwell and Heat Equations for an Induction Heating Problem: Modeling and Numerical Methods / S. Clain ; J. Rappaz ; M. Swierkosz = 163
• Solving the 3D Harmonic Maxwell Equations with Finite Elements, Lagrange／Multipliers, and Iterative Methods / Laurent Crouzet ; G$$\acute e$$rard Meurant = 173
• Some Applications of the Hierarchic High Order MITC Finite Elements for Reissner-Mindlin Plates / L. Della Croce ; T. Scapolla = 183
• Domain Decomposition for Immiscible Displacement in Single Porosity Systems / Jim Douglas, Jr. ; Felipe Pereira ; Li-Ming Yeh ; Paulo Jorge Paes Leme = 191
• An Error Estimator for Nonconforming Approximations of a Nonlinear Problem / Ricardo Dur$$\acute a$$n ; Claudio Padra = 201
• Some Observations on Raviart-Thomas Mixed Finite Elements in p Extension for Parabolic Problems / Sonia Garcia ; S$$\phi$$ren Jensen = 207
• Mixed Finite Element Methods in Fluid Structure Systems / Lucia Gastaldi = 217
• A Black-Box Solver for the Solution of General Nonlinear Functional Equations by Mixed FEM / L. Grosz ; C. Roll ; W. Sch$$\ddot o$$nauer = 225
• A Remark on the Asymptotic Behavior of Parabolic Variational Inequalities and Their Finite Element Approximation by the Courant Element / J. Gwinner = 235
• Domain Decomposition vs. Adaptivity / Gundolf Haase ; Ulrich Langer = 243
• Material Optimization of Composites / J. Haslinger ; J. Dvo$$\check r$$$$\acute a$$k = 259
• Higher Order Global Accuracy of a Weighted Averaged Gradient of the Courant Elements on Irregular Meshes / Michal K$$\check r$$$$\acute i$$$$\check z$$ek = 267
• A Stable Finite Element Formulation for the Reissner-Mindlin plate-Bending Model / Mikko Lyly ; Rolf Stenberg = 277
• Stabilized Formulations and Mini-Element for the n-Dimensional Stokes Equations: Properties and Solution Procedure / J. F. Maitre ; E. Wabo = 285
• Finite Volume Methods for Convection-Diffusion Problems / K. W. Morton = 301
• Finite Element Methods with Recovery for Problems of Elasticity and Viscoelasticity / R. M$$\ddot u$$cke ; S. Shaw ; M. K. Warby ; J. R. Whiteman = 315
• A Wavelet Transform Based on Periodic Splines and Finite Element Method / P. Neittaanm$$\ddot a$$ki ; V. Rivkind ; V. Zheludev = 325
• On the FEM Research in St. Petersburg / L. A. Oganesjan ; V. Rivkind = 335
• Iterative Substructuring Methods for Spectral Elements in Three Dimensions / Luca F. Pavarino ; Olof B. Widlund = 345
• Finite Element Approximation of a Model of Nonisothermal Flow through Fissured Media / Ma$$\l$$gorzata Peszynska = 357
• Domain Decomposition in the Nonstationary Streamline Diffusion Finite Element Method / R. Rannacher = 367
• Hypercircle Bounds for Trefftz Elements. The Swansea Plate Triangle with Its Dual and Its Plane Stress Analog as an Example / G. Rieder = 381
• A Posteriori Error Analysis in the Finite Element Method / Rodolfo Rodr$$\acute i$$guez = 389
• An Optimal Error Estimate for a Nonconforming Finite Element Method of Upwind Type Applied to the Stationary Navier-Stokes Euqations in Two and Three Dimensions / F. Schieweck ; L. Tobiska = 399
• Boundary Control Problems for a Phase Field Model with Obstacles / J. Shirohzu ; A. Kadoya ; N. Kato ; N. Kenmochi = 409
• Parallel Function Decomposition and Space Decomposition Methods / Xue-Cheng Tai = 421
• Finite Element Methods for Parabolic Problems―Some Steps in the Evolution / Vidar Thom$$\acute e$$e = 433
• A Relaxation Method in Shape Optimization / T. Tiihonen ; R. B. Gonzalez de Paz = 443
• Courant Elements for the Inverse Problem in the Filtration Coefficient Identification / E. Vainikko = 451
• The Symmetry and the Courant Element / A. Vasilescu = 461
• Error Bounds for a Finite Element Approximation of a Model Vortex Problem / Patrick A. Wood ; John W. Barrett = 467
• The Maximum Angle Condition in the Finite Element Method / A. $$\check Z$$en$$\acute i$$$$\check s$$ek = 477
• Mesh Orientation and Anisotropic Refinement in the Streamline Diffusion Method / Guohui Zhou ; Rolf Rannacher = 491
• A Box Finite Element Method Giving Solution Gradients with a Higher Order Accuracy / Milo$$\check s$$ Zl$$\acute a$$mal = 501