Adaptive meshless refinement schemes for RBF-PUM collocation

2018/11/12 by Roberto Cavoretto, Cavoretto, R., Alessandra De Rossi +1 · 1 citation
Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1811.04710

openalex publication_date 2018/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present an adaptive discretization technique for solving elliptic partial differential equations via a collocation radial basis function partition of unity method. In particular, we propose a new adaptive scheme based on the construction of an error indicator and a refinement algorithm, which used together turn out to be ad-hoc strategies within this framework. The performance of the adaptive meshless refinement scheme is assessed by numerical tests.

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• Adaptive Ch Method with Local Coupled Multiquadrics for Solving Partial Differential Equations

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