Boundary algebraic equations for lattice problems

DOI10.1098/rspa.2008.0473zbMath1186.65154OpenAlexW1980684997MaRDI QIDQ3561971

Gregory J. Rodin, Per-Gunnar Martinsson

Publication date: 19 May 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://rspa.royalsocietypublishing.org/content/vol465/issue2108/

zbMATH Keywords

difference equationsboundary integral equationsdiscrete potential theorylattice equationslattice fundamental solution

Mathematics Subject Classification ID

Related Items (10)

The inverse problem for conducting defective lattices ⋮ The Power of Trefftz Approximations: Finite Difference, Boundary Difference and Discontinuous Galerkin Methods; Nonreflecting Conditions and Non-Asymptotic Homogenization ⋮ Fast and accurate numerical methods for solving elliptic difference equations defined on lattices ⋮ Efficient lattice Green's function method for bounded domain problems ⋮ Boundary element method based on preliminary discretization ⋮ A Boundary Algebraic Formulation for Plane Strain Elastodynamic Scattering ⋮ Analysis of a Sinclair-Type Domain Decomposition Solver for Atomistic/Continuum Coupling ⋮ A fast solver for Poisson problems on infinite regular lattices ⋮ Suppression of spurious frequencies in scattering problems by means of boundary algebraic and combined field equations ⋮ Green's analysis of conducting lattices

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