Flexible piecewise approximations based on partition of unity

DOI10.1007/s10444-004-1810-zzbMath1067.65125OpenAlexW2094701120MaRDI QIDQ1773957

Weimin Han, Wing Kam Liu

Publication date: 28 April 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-1810-z

zbMATH Keywords

convergenceGalerkin methodfinite element methodboundary value problemspartition of unitypolynomial reproducingnodal interpolationsmooth piecewise approximation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05)

Related Items (7)

Meshfree analysis with the aid of NURBS boundary ⋮ A `FE-meshfree' TRIA3 element based on partition of unity for linear and geometry nonlinear analyses ⋮ Stabilization approaches for the hyperelastic immersed boundary method for problems of large-deformation incompressible elasticity ⋮ Reproducing kernel triangular B-spline-based FEM for solving PDEs ⋮ Super-convergence of reproducing kernel approximation ⋮ Surface corrections for peridynamic models in elasticity and fracture ⋮ MLS (moving least square)-based finite elements for three-dimensional nonmatching meshes and adaptive mesh refinement

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