Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes
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Publication:3116382
DOI10.1137/100807764zbMath1242.65215OpenAlexW2001067676MaRDI QIDQ3116382
Gianmarco Manzini, Lourenco Beirão da Veiga, Konstantin N. Lipnikov
Publication date: 22 February 2012
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/f8b77be73e58987b27f5d2ca5a8cb3bf175d6679
convergencenumerical experimentsconsistency conditionPoisson equationdiffusion problemhigh-order schememimetic finite difference methodunstructured polygonal meshesGauss-Lonatto formulaquadrature node
Error bounds for boundary value problems involving PDEs (65N15) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Finite volume methods for boundary value problems involving PDEs (65N08)
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