An iteration method using artificial boundary for some elliptic boundary value problems with singularities

DOI<1917::AID-NME796>3.0.CO;2-A 10.1002/(SICI)1097-0207(19991220)46:11<1917::AID-NME796>3.0.CO;2-AzbMath0951.65113OpenAlexW2036862017MaRDI QIDQ4953268

Charissa Chui-Yee Cheung, Xiao-Nan Wu

Publication date: 9 May 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19991220)46:11<1917::aid-nme796>3.0.co;2-a

zbMATH Keywords

numerical resultsfinite element methodsingularitiesiteration methodelliptic boundary value problemsSchwarz alternating methodartificial boundary

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

The singular finite element method for some elliptic boundary value problem with interface ⋮ Discrete boundary conditions for elasticity problems with singularities. ⋮ Discrete boundary conditions for problems with interface ⋮ Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains ⋮ A finite element method for Stokes equation using discrete singularity expansion

Cites Work

• An efficient finite element method for treating singularities in Laplace's equation
• The use of infinite grid refinements at singularities in the solution of Laplace's equation
• The method of auxiliary mapping for the finite element solutions of elliptic problems containing singularities
• High-order boundary conditions and finite elements for infinite domains
• Corner singularities in elliptic problems by finite element methods
• A finite element scheme for domains with corners
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• A finite element method for domains with corners
• The coupling of the finite element method and boundary solution procedures
• On the Finite Element Method for Unbounded Regions
• A Finite-Element Method for Laplace- and Helmholtz-Type Boundary Value Problems with Singularities
• Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders
• The p‐version of the finite element method for domains with corners and for infinite domains

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