Boundary value problems and integral equations in nonsmooth domains : proceedings of the conference at the CIRM, Luminy

Bibliographic Information

Boundary value problems and integral equations in nonsmooth domains : proceedings of the conference at the CIRM, Luminy

edited by Martin Costabel, Monique Dauge, Serge Nicaise

(Lecture notes in pure and applied mathematics, v. 167)

M. Dekker, c1995

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Note

Conference held May 3-7, 1993

Includes bibliographical references and index

Description and Table of Contents

Description

Based on the International Conference on Boundary Value Problems and lntegral Equations In Nonsmooth Domains held recently in Luminy, France, this work contains strongly interrelated, refereed papers that detail the latest findings in the fields of nonsmooth domains and corner singularities. Two-dimensional polygonal or Lipschitz domains, three-dimensional polyhedral corners and edges, and conical points in any dimension are examined.

Table of Contents

  • Scattering of an Electromagnetic Wave by a Screen
  • On Smoothness of Generalised Solutions of Parabolic Equations of High Order
  • Interpolation of Nullspaces for Polynomial Approximation of Divergence-Free Functions in a Cube
  • Adaptive Boundary Element Methods and Adaptive Finite Element and Boundary Element Coupling
  • Computation of Corner Singularities in Linear Elasticity
  • On the Exponential Convergence of Some Boundary Element Methods of Laplace's Equation In Non-Smooth Domains
  • Parametrization Methods for First Kind lntegral Equations on NonSmooth Boundaries
  • The h-p Version of the Finite Element Method for Solving Boundary Value Problems in Polyhedral Domains
  • Boundary Layers and Comer Singularities for a Self-Adjoint Problem
  • On Behaviour of Solutions of a Class of Nonlinear Elliptic Second Order Equations in a Neighbourhood of a Conic Point of the Boundary
  • Computation of 3D-Singularities in Elasticity
  • Regularity of the Solutions of Dirichlet Problems in Polyhedral Domains
  • Regularity of Viscous Navier-Stokes Flows in Nonsmooth Domains
  • A Regularity Theorem for Hypersingular Integral Equations
  • Piecewise Polynomial Collocation for the Double Layer Potential Equation over Polyhedral Boundaries
  • Branching Asymptotics for Elliptic Boundary Value Problems in a Wedge
  • Optimal Convergence Rates of Adaptive Algorithms for Finite Element Multiscale Methods
  • Estimating the Form of an Elastic Vertex Singularity with Mixed Boundary Conditions.

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