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math.NA2024
Optimal accuracy for linear sets of equations with the graph Laplacian
Richard B. Lehoucq, Michael Weylandt, Jonathan W. Berry
We show that certain Graph Laplacian linear sets of equations exhibit optimal accuracy, guaranteeing that the relative error is no larger than the norm of the relative residual and…
math.NA2016
A Meshless Galerkin Method For Non-Local Diffusion Using Localized Kernel Bases
Richard B. Lehoucq, Francis J. Narcowich, Stephen T. Rowe +1
We introduce a meshless method for solving both continuous and discrete variational formulations of a volume constrained, nonlocal diffusion problem. We use the discrete solution t…