A Polygonal Spline Method for General Second-Order Elliptic Equations and Its Applications

DOI10.1007/978-3-319-59912-0_6zbMath1385.65058OpenAlexW2738119476MaRDI QIDQ4609799

James Lanterman, Ming-Jun Lai

Publication date: 26 March 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59912-0_6

zbMATH Keywords

stabilityconvergencenumerical examplesecond-order elliptic equationsgeneralized barycentric coordinatespolygonal splinesmixed parabolic and hyperbolic equationspolygonal spline method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs of mixed type (35M10) 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)

Related Items (2)

Construction of \(C^1\) polygonal splines over quadrilateral partitions ⋮ A minimization approach for constructing generalized barycentric coordinates and its computation

Uses Software

• SplinePak

Cites Work

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• Generalized barycentric coordinates and applications
• Gradient Bounds for Wachspress Coordinates on Polytopes
• A virtual element method with arbitrary regularity

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