finite element methods: fifty years of the Courant element

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Michel Krizek, Pekka Neittaanmaki, Rolf Stenberg
CRC Press, Aug 10, 1994 - Mathematics - 536 pages
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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.
 

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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
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