## finite element methods: fifty years of the Courant elementThese 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Variational Methods for the Solution of Problems of Equilibrium and Vibrations | 1 |

Coupling Mortar Finite Element and Boundary Element Methods for 2D NavierStokes Equations | 25 |

Courant Element Before and After | 37 |

Iterative Methods for Solving Stiff Elliptic Problems | 53 |

Straight and Curved Finite Elements of Class C1 and Some Applications to Thin Shell Problems | 63 |

Exact Controllability to Solve the Helmholtz Equation with Absorbing Boundary Conditions | 79 |

Cubic Version of FEM in Elliptic Problems with Interfaces and Singularities | 95 |

LeastSquares Mixed Finite Elements | 105 |

A Stable Finite Element Formulation for the ReissnerMindlin PlateBending Model | 277 |

Properties and Solution Procedure | 285 |

Finite Volume Methods for ConvectionDiffusion Problems | 301 |

Finite Element Methods with Recovery for Problems of Elasticity and Viscoelasticity | 315 |

A Wavelet Transform Based on Periodic Splines and Finite Element Method | 325 |

On the FEM Research in St Petersburg | 335 |

Iterative Substructuring Methods for Spectral Elements in Three Dimensions | 345 |

Finite Element Approximation of a Model of Nonisothermal Flow through Fissured Media | 357 |

Turbulence Modelling in Finite Element Industrial Applications | 119 |

Necessary and Sufficient Conditions for the Numerical Approximation of a Partial Differential Equation Depending on a Small Parameter | 133 |

Efficient Solution Methods for Compressible Flow Computations | 141 |

Parallel Finite Volume Algorithms for Solving the TimeDomain Maxwell Equations on Nonstructured Meshes | 153 |

Modeling and Numerical Methods | 163 |

Solving the 3D Harmonic Maxwell Equations with Finite Elements Lagrange Multipliers and Iterative Methods | 173 |

Some Applications of the Hierarchic High Order MITC Finite Elements for ReissnerMindlin Plates | 183 |

Domain Decomposition for Immiscible Displacement in Single Porosity Systems | 191 |

An Error Estimator for Nonconforming Approximations of a Nonlinear Problem | 201 |

Some Observations on RaviartThomas Mixed Finite Elements in p Extension for Parabolic Problems | 207 |

Mixed Finite Element Methods in Fluid Structure Systems | 217 |

A BlackBox Solver for the Solution of General Nonlinear Functional Equations by Mixed FEM | 225 |

A Remark on the Asymptotic Behavior of Parabolic Variational Inequalities and Their Finite Element Approximation by the Courant Element | 235 |

Domain Decomposition vs Adaptivity | 243 |

Material Optimization of Composites | 259 |

Higher Order Global Accuracy of a Weighted Averaged Gradient of the Courant Elements on Irregular Meshes | 267 |

Domain Decomposition in the Nonstationary Streamline Diffusion Finite Element Method | 367 |

Hypercircle Bounds for Trefftz Elements The Swansea Plate Triangle with Its Dual and Its Plane Stress Analog as an Example | 381 |

A Posteriori Error Analysis in the Finite Element Method | 389 |

An Optimal Error Estimate for a Nonconforming Finite Element Method of Upwind Type Applied to the Stationary NavierStokes Equations in Two ... | 399 |

Boundary Control Problems for a Phase Field Model with Obstacles | 409 |

Parallel Function Decomposition and Space Decomposition Methods | 421 |

Finite Element Methods for Parabolic Problems Some Steps in the Evolution | 433 |

A Relaxation Method in Shape Optimization | 443 |

Courant Elements for the Inverse Problem in the Filtration Coefficient Identification | 451 |

The Symmetry and the Courant Element | 461 |

Error Bounds for a Finite Element Approximation of a Model Vortex Problem | 467 |

The Maximum Angle Condition in the Finite Element Method | 477 |

Mesh Orientation and Anisotropic Refinement in the Streamline Diffusion Method | 491 |

A Box Finite Element Method Giving Solution Gradients with a Higher Order Accuracy | 501 |

### Other editions - View all

### Common terms and phrases

algorithm Anal analysis Applications Babuska bilinear form boundary conditions boundary value problem bounded Brezzi Cedex cell coefficients computed consider convergence convex corresponding Courant element defined denote derivatives Dirichlet discrete discretization error Domain Decomposition Methods eigenvalues elastic elliptic equations elliptic problems engineering error estimates Euler Figure finite element approximation finite element method flow formulation functions Galerkin Galerkin method given Glowinski gradient grids induction heating inequality integral interpolation Jyvaskyla least-squares Lemma Math Mathematics matrix Mech mesh Meth minimization mixed finite element multigrid multigrid methods Navier-Stokes equations nodes nonlinear norm obtain operator optimal parabolic parallel parameters Partial Differential Equations piecewise linear plate polynomials preconditioner Proof Rivkind satisfies scheme Section SIAM singular solver solving space spline stability step subdomains subspaces Superconvergence symmetric technique Theorem Theory tion triangles University upwind variational inequalities variational problem vector velocity viscoelastic Widlund