1st Edition
finite element methods fifty years of the Courant element
These proceedings originated from a conference commemorating the 50th anniversary of the publication of Richard Courant's seminal paper, Variational Methods for Problems of Equilibrium and Vibration. These papers address fundamental questions in numerical analysis and the special problems that occur in applying the finite element method to various fields of science and engineering.
Preface
Contributors
Conference Participants
Variational Methods for the Solution of Problems of Equilibrium and Vibrations –R. Courant
Coupling Mortar Finite Element and Boundary Element and Boundary Element Methods for 2D Navier- Stokes Equations –Y. Achdou and O. Pironeau
Courant Element: Before and After- Ivo Babuska
Intensive Methods for Solving Stiff Elliptic Problems- N. S. Bakhvalov
Straight and curved Finite Elements of Class C1 and Some Applications to Thin Shell Problems- M. Bernadou
Exact Controllability to Solve the Helmholtz Equation with Absorbing Boundary Conditions- M.O. Bristeau, R. Glowinski and J Periaux
Cubic Version of FEM in Elliptic Problems with Interface and Singularities- P. Burda
Least-Squares Mixed Finite Elements- GF Carey, A Pehlivanov and Y Shen
Turbulence Modeling in Finite Element Industrial Applications- JP Chabard, D Laurence, G Pot and NE Rharif
Necessary and Sufficient Conditions for the Numerical Approximation of a Partial Differential Equation Depending on a Small Parameter- Denise Chenais, Jean-Claude Paumier and Martin Zerner
Efficient Solution Methods for Compressible Flow Computations- MC Ciccoli, A Dervieuz, J-A Desideri and E Morano
Parallel Finite Volume Algorithms for Solving the Time-Domain Maxwell Equations on Non structured Meshes- JP Cioni, L Fezoui, and H Steve
Coupling Between Nonlinear Maxwell and Heat Equations for an Induction Heating Problem: Modeling and Numerical Methods- S Clain, J Rappaz, and M Sweirkosz
Solving the 3D Harmonic Maxwell Equations with Finite Elements, Lagrange Multipliers and Iterative Methods- Laurent Crouzet and Gerard Meurant
Some Applications of the Heirarchic High Order MITC Finite Elements for Reissner-Mindlin Plates- L Della Croce and T Scapolla
Domain Decomposition for Immiscible Displacement in a Single Porosity Systems- Jim Douglas Jr., Felipe Pereira, Li-Ming Yeh, and Paulo Jorge Paes Leme
An Error Estimator for Nonconforming Approximations of a Nonlinear Problem- Ricardo Duran, and Claudio Padra
Some Observations on Raviart-Thomas Mixed Finite Elements in p Extension for Parabolic Problems- Sonia Garcia and Seren Jensen
Mixed Finite Element Methods in Fluid Structure Systems- Lucia Gastaldi
A Black-Box Solvere for the Solution of General Nonlinear Functional Equations by Mixed FEM- L Grosz, C Roll and W Schonauer
A Remark on the Asymptotic Behavior of Parabolic Variational Inequalities and Their Finite Element Approximation by the Courant Element-J Gwinner
Domain Decomposition vs. Adaptavity- Gundolf Hasse and Ulrich Langer
Material Optimization of Composites- J Haslinger and J Dvorak
Higher Order Global Accuracy of a Weighted Averaged Gradient of the Courant Elements on Irregular Meshes- Michal Knzek
A Stable Finite Element Formulation for the Reissner-Mindlin Plate-Bending Model- Mikko Lyly and Rolf Stenberg
Stabilized Formulations and Mini-Element for the n-Dimmensial Stroked Equation: Properties and Solution Procedure- JF Maitre and E Wabo
Finite Volume Methods for Convection-Diffusion Problems- KW Morton
Finite Element Methods with Recovery for Problems of Elasticity and Viscoelesticity- R Mucke, S Shaw, MK Warby and JR Whiteman
A Wavelet Transform Based on Periodic Splines and Finite Element Method- P Neittaanmaki, V Rivkind and V Zheludev
On the FEM Research in St. Petersburg- LA Oganesjan and V Rivkind
Iterative Substructure Methods for Spectral Elements in Three Dimenesions- Luca F. Pavarino and Olof B. Widlund
Finite Element Approximation of a Model of Nonisothermal Flow through Fissured Media- Malgorzata Peszynska
Domain Decomposition in the Nonstationary Streamline Diffusion Finite Element Method- R. Rannacher
Hypercircle Bounds for Trefftz Elements, The Swansea Plate Triangle with its Dual and its Plane Stress Analog as an Example- G Rieder
A Posteriori Error Analysis in the Finite Element Method- Rodolfo Rodriguez
An Optimal Error Estimate for a Nonconforming Finite Element Method of Upwind Type Applied to the Stationary Navier-Stokes Equations in Two and Three Dimensions-F Schieweck and L Tobiska
Boundary Control Problems for a Phase Field Model with Obstacles- J Shirohzu, A Kadoya, N. Kato, and N Kenmochi
Parallel Function Decomposition and Space Decomposition Methods- Xue-Cheng Tai
Finite Element Methods for Parabolic Problems- Some Steps in the Evolution- Vidar Thomee
A Relaxation Method on Shape Optimization- T Tiihonen and R B Gonzalez de Paz
Courant Elements for the Inverse Problem in the Filtration Coefficient Identification- E. Vainikko
The Symmetry and the Courant Element- A Vasilescu
Error Bounds for a Finite Element Approximation of a Model Vortex Problem- Patrick A. Wood and John W. Barrett
The Maximum Angle Condition in the Finite Element Method- A Zenisek
Mesh Orientation and Anisotropic Refinement in the Streamline Diffusion Method- Guohui Zhou and Rolf Rannacher
A Box Finite Element Method Giving Solution Gradients with a Higher Order Accuracy- Milos Zlamal
Biography
Michel Krizek, Pekka Neittaanmaki, Rolf Stenberg
