A finite element scheme for domains with corners

DOI10.1007/BF01436639zbMath0252.65084OpenAlexW1994581329MaRDI QIDQ2557549

Michael B. Rosenzweig, Ivo M. Babuška

Publication date: 1972

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132169

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for second-order elliptic equations (35J20)

Related Items (34)

Solving the singular two-dimensional fourth order problem by the mortar spectral element method ⋮ Mortar spectral element discretization of the Stokes problem in domain with corners ⋮ Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method ⋮ The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities ⋮ The singular finite element method for some elliptic boundary value problem with interface ⋮ The direct method of lines for elliptic problems in star-shaped domains ⋮ Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions ⋮ Direct and inverse error estimates for finite elements with mesh refinements ⋮ Improved difference schemes for the Dirichlet problem of Poisson's equation in the neighbourhood of corners ⋮ An iteration method using artificial boundary for some elliptic boundary value problems with singularities ⋮ A singularity removal method for coupled 1D-3D flow models ⋮ An algebraic multigrid approach to solve extended finite element method based fracture problems ⋮ Unnamed Item ⋮ On the order of convergence of a finite element scheme ⋮ Discrete boundary conditions for elasticity problems with singularities. ⋮ The direct method of lines for the numerical solutions of interface problem ⋮ Extended finite element methods for optimal control problems governed by Poisson equation in non-convex domains ⋮ Solutions of nonlinear equations of divergence type in domains having corner points ⋮ The \(p\)-version of the finite element method for the elliptic boundary value problems with interfaces ⋮ The numerical methods for oscillating singularities in elliptic boundary value problems ⋮ Numerical simulations of fracture problems by coupling the FEM and the direct method of lines ⋮ Discrete boundary conditions for problems with interface ⋮ Der Einfluß\ von Randsingularitäten beim Ritzschen Verfahren ⋮ A new approach to Richardson extrapolation in the finite element method for second order elliptic problems ⋮ Handling corner singularities by the mortar spectral element method ⋮ Conform and mixed finite element schemes for the Dirichlet problem for the Bilaplacian in plane domains with corners ⋮ Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry ⋮ Discretization error cancellation in the plane-wave approximation of periodic Hamiltonians with Coulomb singularities ⋮ On nonlinear mixed boundary value problems for second order elliptic differential equations on domains with corners ⋮ Weighted Sobolev spaces and regularity for polyhedral domains ⋮ A Mixed Approach to the Poisson Problem with Line Sources ⋮ A finite element method for Stokes equation using discrete singularity expansion ⋮ Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations ⋮ Singularities and treatments of elliptic boundary value problems.

Cites Work

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