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Finite element methods : fifty years of the Courant element

Author: M Křížek; P Neittaanmäki; R Stenberg
Publisher: New York : M. Dekker, ©1994.
Series: Lecture notes in pure and applied mathematics, v. 164.
Edition/Format:   Print book : EnglishView all editions and formats

Includes proceedings which are originated from a conference commemorating the 50th anniversary of the publication of Richard Courant's seminal paper, Variational Methods for Problems of Equilibrium  Read more...


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Document Type: Book
All Authors / Contributors: M Křížek; P Neittaanmäki; R Stenberg
ISBN: 0824792769 9780824792763
OCLC Number: 30663709
Description: xx, 504 pages : illustrations ; 26 cm.
Contents: Coupling Mortar Finite Element and Boundary Element Methods for 2D Navier-Stokes Equations; Courant Element: Before and After; Iterative Methods for Solving Stiff Elliptic Problems; Straight and Curved Finite Elements of Class C1 and Some Applications to Thin Shell Problems; Exact Controllability to Solve the Helmholtz Equation with Absorbing Boundary Conditions; Cubic Version of FEM in Elliptic Problems with Interfaces and Singularities; Least Squares Mixed Finite Elements; Turbulence Modelling in Finite Element Industrial Applications; Necessary and Sufficient Conditions for the Numerical Approximation of a Partial Differential Equation Depending on a Small Parameter; Efficient Solution Methods for Compressible Flow Computations; Parallel Finite Volume Algorithms for Solving the Time-Domain Maxwell Equations on Nonstructured Meshes; Coupling Between Nonlinear Maxwell and Heat Equations for an Induction Heating Problem: Modelling and Numerical Methods; Solving the 3D Harmonic Maxwell Equations with Finite Elements, Lagrange Multipliers, and Iterative Methods; Some Applications of the Hierarchic High Order MITC Finite Elements for Reissner-Mindlin Plates; Domain Decomposition for Immiscible Displacement in Single Porosity Systems; An Error Estimator for Nonconforming Approximations of a Nonlinear Problem; Some Observations on Raviart-Thomas Mixed Finite Elements in p Extension for Parabolic Problems; Mixed Finite Element Methods in Fluid Structure Systems; A Black-Box Solver for the Solution of General Nonlinear Functional Equations by Mixed FEM; A Remark on the Asymptotic Behaviour of Parabolic Variational Inequalities and Their Finite Element Approximation by the Courant Element; Domain Decomposition vs. Adaptivity; Material Optimization of Composites. Part Contents.
Series Title: Lecture notes in pure and applied mathematics, v. 164.
Responsibility: edited by M. Křížek, P. Neittaanmäki, R. Stenberg.
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