The Fourier finite element method for the corner singularity expansion of the heat equation
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Publication:524668
DOI10.1016/j.camwa.2014.11.004zbMath1360.35087OpenAlexW2069512685MaRDI QIDQ524668
Hyung Jun Choi, Jae Ryong Kweon
Publication date: 3 May 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.11.004
Smoothness and regularity of solutions to PDEs (35B65) Classical linear elasticity (74B05) Stress (74A10) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (4)
Convergence analysis of the splitting method to the nonlinear heat equation ⋮ An error analysis of the finite element method of the Stokes equations with parameter based on the singular function expansion ⋮ A numerical solution for the inhomogeneous Dirichlet boundary value problem on a non-convex polygon ⋮ Unnamed Item
Cites Work
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- Analysis of the finite element method for transmission/mixed boundary value problems on general polygonal domains
- The Fourier singular complement method for the Poisson problem. II: Axisymmetric domains
- Parabolic finite element equations in nonconvex polygonal domains
- The Fourier-finite element method for the Poisson problem on a non-convex polyhedral cylinder
- Direct and inverse error estimates for finite elements with mesh refinements
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- An optimal order convergence for a weak formulation of the compressible Stokes system with inflow boundary condition
- Singular behavior of elliptic problems in non Hilbertian Sobolev spaces
- For the parabolic Lamé system on polygonal domains: the transport equation
- Finite element method for domains with corners
- Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps
- The Fourier singular complement method for the Poisson problem. I: Prismatic domains
- A Finite Element Method Using Singular Functions for the Poisson Equation: Corner Singularities
- Solution Methods for the Poisson Equation with Corner Singularities: Numerical Results
- The Stationary Navier-Stokes System with No-Slip Boundary Condition on Polygons: Corner Singularity and Regularity
- Résolution d’un problème aux limites dans un ouvert axisymétrique par éléments finis en $r, z$ et séries de Fourier en $\theta $
- Error estimates on the coeficients obtained by the singular function method
- Parabolic finite volume element equations in nonconvex polygonal domains
- Edge Behavior of the Solution of an Elliptic Problem
- On the finite element approximation of functions with noninteger derivatives
- Coefficients of the Singularities for Elliptic Boundary Value Problems on Domains with Conical Points. III: Finite Element Methods on Polygonal Domains
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
- Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
- The Fourier-Finite-Element Method for Poisson’s Equation in Axisymmetric Domains with Edges
- The Fourier-finite-element method with Nitsche mortaring
- Galerkin Finite Element Methods for Parabolic Problems
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