Finite element analysis for the axisymmetric Laplace operator on polygonal domains
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Publication:633969
DOI10.1016/j.cam.2011.05.003zbMath1226.65096OpenAlexW2171587304MaRDI QIDQ633969
Publication date: 2 August 2011
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2011.05.003
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (15)
Axisymmetric Stokes equations in polygonal domains: regularity and finite element approximations ⋮ Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains ⋮ Thermomechanical Modelling for Industrial Applications ⋮ Approximation of coupled Stokes-Darcy flow in an axisymmetric domain ⋮ A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential ⋮ IsoGeometric approximations for electromagnetic problems in axisymmetric domains ⋮ The macroelement analysis for axisymmetric Stokes equations ⋮ A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation ⋮ A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients ⋮ A family of cylindrical elements ⋮ Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon ⋮ Regularity and multigrid analysis for Laplace-type axisymmetric equations ⋮ Numerical simulations of fluid pressure in the human eye ⋮ SOLVING NUMERICALLY THE STATIC MAXWELL EQUATIONS IN AN AXISYMMETRIC SINGULAR GEOMETRY ⋮ Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D
Uses Software
Cites Work
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