Nonconforming spline collocation methods in irregular domains

DOI10.1002/num.20238zbMath1140.65088OpenAlexW2021168739MaRDI QIDQ5433250

Jiming Wu, Sun, Weiwei, Xiaoping Zhang

Publication date: 8 January 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20238

zbMATH Keywords

numerical resultserror estimateirregular domainelliptic PDEsfinite difference systemnonconforming spline collocationtriangular or quadrilateral partition

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

Meshless local B-spline-FD method and its application for 2D heat conduction problems with spatially varying thermal conductivity ⋮ Modified nodal cubic spline collocation for elliptic equations ⋮ An overdetermined B-spline collocation method for Poisson problems on complex domains

Cites Work

• Finite Element Methods in Mechanics
• Domain-imbedding alternating direction method for linear elliptic equations on irregular regions using collocation
• Numerical solution of partial differential equations on curved domains by collocation
• A nonconventional Eulerian-Lagrangian single-node collocation method with Hermite polynomials for unsteady-state advection-diffusion equations

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