Finite Element Methods: Superconvergence, Post-Processing, and A Posterior Estimates

by Michel Krizek (Editor), Pekka Neittaanmaki (Editor), Rolf Stenberg (Editor)

Overview

""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.

Product Details

ISBN-13:	9781351448604
Publisher:	CRC Press
Publication date:	11/22/2017
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	368
File size:	11 MB
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About the Author

Michel Krizek

Table of Contents

Contributors, Two Robust Patch Recovery Methods with Built-in Field Equations and Boundary Conditions, Superconvergence Similarities in Standard and Mixed Finite Element Methods, On the FEM for the Navier-Stokes Equations in the Domains with Corner Singularities, Projections in Finite Element Analysis and Application, Element Analysis Method and Superconvergence, Quadratic Interpolation Polynomials in Vertices of Strongly Regular Triangles, Explicit Error Bounds for a Nonconforming Finite Element Method, Analysis of the Average Efficiency of an Error Estimator, On the Mesh for Difference Schemes of Higher Accuracy for the Heat-Conduction Equation, Shape Design Sensitivity Formulae Approximated by Means of a Recovered Gradient Method, A Posteriori Error Estimates for Three-Dimensional Axisymmetric Elliptic Problems, Hierarchical Basis Error Estimators for Raviart-Thomas Discretizations of Arbitrary Order, The Superconvergence of Finite Element Methods on Domains with Reentrant Corners, Error Estimation for Linear and Nonlinear Problems, Superconvergent Recovery Operators: Derivative Recovery Techniques, Superclose FE-Theory Becomes a Table of Integrals, Adaptive Finite Element Methods for Systems of Reaction-Diffusion Equations, Pointwise Error Estimates, Superconvergence, and Extrapolation, Approximate Solution of Problem on Viscous Flow with Evaporating Noncompact Free Boundary, Shape Calculus and FEM in Smooth Domains, General Principles of Superconvergence in Galerkin Finite Element Methods, A Survey of Superconvergence Techniques in Finite Element Methods, Adaptive Procedure with Superconvergent Patch Recovery for Linear Parabolic Problems, Bibliography on Superconvergence