Collocation with WEB-splines

DOI10.1007/s10444-015-9444-xzbMath1348.65171OpenAlexW2273791033MaRDI QIDQ314455

Klaus Höllig, Christian Apprich, Ulrich Reif, Jörg Hörner

Publication date: 16 September 2016

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

Full work available at URL: https://doi.org/10.1007/s10444-015-9444-x

zbMATH Keywords

interpolationconvergencenumerical examplecollocation methodPoisson's equationboundary value problemweighted extended B-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Solving elliptic PDE's using polynomial splines on curved triangulations, Application of the Solution Structure Method in Numerically Solving Poisson’s Equation on the Basis of Atomic Functions, An adaptive collocation method with weighted extended PHT-splines, Approximation of the first eigenpair of the \(p(x)\)-Laplacian using WEB-spline based mesh-free method, Stable isogeometric analysis of trimmed geometries, Improved conditioning of isogeometric analysis matrices for trimmed geometries, Solving elliptic PDE's on domains with curved boundaries with an immersed penalized boundary method

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