Galerkin Differences for High-Order Partial Differential Equations

DOI10.1137/19M1259456zbMath1432.65147OpenAlexW3013132536MaRDI QIDQ5221025

J. Jacangelo, Jeffrey W. Banks, Thomas M. Hagstrom

Publication date: 27 March 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1259456

zbMATH Keywords

initial-boundary value problemsGalerkin methodsbiharmonic equationsdifference methods

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (7)

Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs ⋮ Continuous/discontinuous Galerkin difference discretizations of high-order differential operators ⋮ Local-basis difference potentials method for elliptic PDEs in complex geometry ⋮ Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates ⋮ Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions ⋮ Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form ⋮ Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws

Cites Work

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