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CMMSE: A technique for generating adapted discretizations to solve partial differential equations with the generalized finite difference method
  • Augusto César Ferreira,
  • Miguel Ureña,
  • HIGINIO RAMOS
Augusto César Ferreira
Universidad de Salamanca
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Miguel Ureña
Statistics Spain
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HIGINIO RAMOS
Universidad de Salamanca
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Abstract

The generalized finite difference method is a meshless method for solving partial differential equations that allows arbitrary discretizations of points. Typically, the discretizations have the same density of points in the domain. We propose a technique to get adapted discretizations for the solution of partial differential equations. This strategy allows using a smaller number of points and a lower computational cost to achieve the same accuracy that would be obtained with a regular discretization.

Peer review status:IN REVISION

14 Nov 2021Submitted to Mathematical Methods in the Applied Sciences
16 Nov 2021Assigned to Editor
16 Nov 2021Submission Checks Completed
30 Nov 2021Reviewer(s) Assigned
27 Dec 2021Review(s) Completed, Editorial Evaluation Pending
12 Jan 2022Editorial Decision: Revise Major