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On the radial discretization of finite element spaces in the scaled boundary finite element method

2023/11/24 by Alireza Daneshyar, Stefan Kollmannsberger, Daneshyar, Alireza +1
Engineering · #Numerical methods in engineering #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods

paper · pdf · doi:10.48550/arxiv.2311.14375

Abstract

The scaled boundary finite element method is known for its capability in reproducing highly-detailed solution fields. This, however, is only attainable in those cases where analytical solutions exist. Many others invoke the use of numerical methods that only provide the response of boundaries. Hence, no information on the inner-subdomain solution fields can be recovered. As a remedy, we propose a new solution scheme by which the interior fields of subdomains can be recovered.

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