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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…
math.NA2014★ 6 cited
A Novel Galerkin Method for Solving PDEs on the Sphere Using Highly Localized Kernel Bases
F. J. Narcowich, Stephen T. Rowe, Joseph D. Ward
We present a novel Galerkin method for solving partial differential equations on the sphere. The problem is discretized by a highly localized basis which is easily constructed. The…