Eig-PIELM: A Mesh-Free Approach for Efficient Eigen-Analysis with Physics-Informed Extreme Learning Machines Article Swipe

PDF

R. K. Mishra , Smriti , Ganapathy Krishnamurthi , Balaji Vasan Srinivasan , Sundararajan Natarajan ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2508.15343

In this work, a novel Eig-PIELM framework is proposed that extends physics-informed extreme learning machine for an efficient and accurate solution of linear eigenvalue problems. The method reformulates the governing differential equations into a compact algebraic system solvable in a single step. Boundary conditions are enforced exactly via an algebraic projection onto the boundary-admissible subspace, eliminating the computational overhead of penalty parameters, and backpropagation while preserving the computational advantages of extreme learning machines. The proposed framework is mesh-free and yields both eigenvalues and mode shapes simultaneously in one linear solve. The robustness and accuracy of the proposed framework is demonstrated through a range of benchmark problems. We believe that the mesh-free nature, solution structure and accuracy of Eig-PIELM makes it particularly valuable for parametric studies in mechanical, acoustic, and electromechanical systems where rapid frequency spectrum analysis is critical.

Related Topics

Truth And Reconciliation Commission Of Canada

Alanis Morissette

Concepts

No concepts available.

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2508.15343
PDF: https://arxiv.org/pdf/2508.15343
OA Status: green
OpenAlex ID: https://openalex.org/W4416050905

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4416050905

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2508.15343

Digital Object Identifier
Title: Eig-PIELM: A Mesh-Free Approach for Efficient Eigen-Analysis with Physics-Informed Extreme Learning Machines

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2025

Year of publication
Publication date: 2025-08-21

Full publication date if available
Authors: R. K. Mishra, Smriti, Ganapathy Krishnamurthi, Balaji Vasan Srinivasan, Sundararajan Natarajan

List of authors in order
Landing page: https://arxiv.org/abs/2508.15343

Publisher landing page
PDF URL: https://arxiv.org/pdf/2508.15343

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2508.15343

Direct OA link when available
Cited by: 0

Total citation count in OpenAlex

Full payload

id	https://openalex.org/W4416050905
doi	https://doi.org/10.48550/arxiv.2508.15343
ids.doi	https://doi.org/10.48550/arxiv.2508.15343
ids.openalex	https://openalex.org/W4416050905
fwci
type	preprint
title	Eig-PIELM: A Mesh-Free Approach for Efficient Eigen-Analysis with Physics-Informed Extreme Learning Machines
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
is_xpac	False
apc_list
apc_paid
language	en
locations[0].id	pmh:oai:arXiv.org:2508.15343
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license	cc-by
locations[0].pdf_url	https://arxiv.org/pdf/2508.15343
locations[0].version	submittedVersion
locations[0].raw_type	text
locations[0].license_id	https://openalex.org/licenses/cc-by
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2508.15343
locations[1].id	doi:10.48550/arxiv.2508.15343
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license	cc-by
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id	https://openalex.org/licenses/cc-by
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.2508.15343
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5101520424
authorships[0].author.orcid	https://orcid.org/0000-0003-0197-263X
authorships[0].author.display_name	R. K. Mishra
authorships[0].author_position	first
authorships[0].raw_author_name	Mishra, Rishi
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5120318536
authorships[1].author.orcid
authorships[1].author.display_name	Smriti
authorships[1].author_position	middle
authorships[1].raw_author_name	Smriti
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5048838919
authorships[2].author.orcid	https://orcid.org/0000-0002-9262-7569
authorships[2].author.display_name	Ganapathy Krishnamurthi
authorships[2].author_position	middle
authorships[2].raw_author_name	Krishnamurthi, Ganapathy
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5101806421
authorships[3].author.orcid	https://orcid.org/0000-0002-4426-7407
authorships[3].author.display_name	Balaji Vasan Srinivasan
authorships[3].author_position	middle
authorships[3].raw_author_name	Srinivasan, Balaji
authorships[3].is_corresponding	False
authorships[4].author.id	https://openalex.org/A5043706874
authorships[4].author.orcid	https://orcid.org/0000-0002-0409-0096
authorships[4].author.display_name	Sundararajan Natarajan
authorships[4].author_position	last
authorships[4].raw_author_name	Natarajan, Sundararajan
authorships[4].is_corresponding	False
has_content.pdf	True
has_content.grobid_xml	True
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/2508.15343
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Eig-PIELM: A Mesh-Free Approach for Efficient Eigen-Analysis with Physics-Informed Extreme Learning Machines
has_fulltext	False
is_retracted	False
updated_date	2025-11-28T10:50:22.399702
primary_topic
cited_by_count	0
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2508.15343
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license	cc-by
best_oa_location.pdf_url	https://arxiv.org/pdf/2508.15343
best_oa_location.version	submittedVersion
best_oa_location.raw_type	text
best_oa_location.license_id	https://openalex.org/licenses/cc-by
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/2508.15343
primary_location.id	pmh:oai:arXiv.org:2508.15343
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license	cc-by
primary_location.pdf_url	https://arxiv.org/pdf/2508.15343
primary_location.version	submittedVersion
primary_location.raw_type	text
primary_location.license_id	https://openalex.org/licenses/cc-by
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2508.15343
publication_date	2025-08-21
publication_year	2025
referenced_works_count	0
abstract_inverted_index.a	3, 33, 39, 101
abstract_inverted_index.In	0
abstract_inverted_index.We	106
abstract_inverted_index.an	16, 48
abstract_inverted_index.in	38, 86, 125
abstract_inverted_index.is	7, 76, 98, 136
abstract_inverted_index.it	119
abstract_inverted_index.of	21, 59, 69, 94, 103, 116
abstract_inverted_index.The	25, 73, 90
abstract_inverted_index.and	18, 62, 78, 82, 92, 114, 128
abstract_inverted_index.are	44
abstract_inverted_index.for	15, 122
abstract_inverted_index.one	87
abstract_inverted_index.the	28, 52, 56, 66, 95, 109
abstract_inverted_index.via	47
abstract_inverted_index.both	80
abstract_inverted_index.into	32
abstract_inverted_index.mode	83
abstract_inverted_index.onto	51
abstract_inverted_index.that	9, 108
abstract_inverted_index.this	1
abstract_inverted_index.makes	118
abstract_inverted_index.novel	4
abstract_inverted_index.range	102
abstract_inverted_index.rapid	132
abstract_inverted_index.step.	41
abstract_inverted_index.where	131
abstract_inverted_index.while	64
abstract_inverted_index.work,	2
abstract_inverted_index.linear	22, 88
abstract_inverted_index.method	26
abstract_inverted_index.shapes	84
abstract_inverted_index.single	40
abstract_inverted_index.solve.	89
abstract_inverted_index.system	36
abstract_inverted_index.yields	79
abstract_inverted_index.believe	107
abstract_inverted_index.compact	34
abstract_inverted_index.exactly	46
abstract_inverted_index.extends	10
abstract_inverted_index.extreme	12, 70
abstract_inverted_index.machine	14
abstract_inverted_index.nature,	111
abstract_inverted_index.penalty	60
abstract_inverted_index.studies	124
abstract_inverted_index.systems	130
abstract_inverted_index.through	100
abstract_inverted_index.Boundary	42
abstract_inverted_index.accuracy	93, 115
abstract_inverted_index.accurate	19
abstract_inverted_index.analysis	135
abstract_inverted_index.enforced	45
abstract_inverted_index.learning	13, 71
abstract_inverted_index.overhead	58
abstract_inverted_index.proposed	8, 74, 96
abstract_inverted_index.solution	20, 112
abstract_inverted_index.solvable	37
abstract_inverted_index.spectrum	134
abstract_inverted_index.valuable	121
abstract_inverted_index.Eig-PIELM	5, 117
abstract_inverted_index.acoustic,	127
abstract_inverted_index.algebraic	35, 49
abstract_inverted_index.benchmark	104
abstract_inverted_index.critical.	137
abstract_inverted_index.efficient	17
abstract_inverted_index.equations	31
abstract_inverted_index.framework	6, 75, 97
abstract_inverted_index.frequency	133
abstract_inverted_index.governing	29
abstract_inverted_index.machines.	72
abstract_inverted_index.mesh-free	77, 110
abstract_inverted_index.problems.	24, 105
abstract_inverted_index.structure	113
abstract_inverted_index.subspace,	54
abstract_inverted_index.advantages	68
abstract_inverted_index.conditions	43
abstract_inverted_index.eigenvalue	23
abstract_inverted_index.parametric	123
abstract_inverted_index.preserving	65
abstract_inverted_index.projection	50
abstract_inverted_index.robustness	91
abstract_inverted_index.eigenvalues	81
abstract_inverted_index.eliminating	55
abstract_inverted_index.mechanical,	126
abstract_inverted_index.parameters,	61
abstract_inverted_index.demonstrated	99
abstract_inverted_index.differential	30
abstract_inverted_index.particularly	120
abstract_inverted_index.reformulates	27
abstract_inverted_index.computational	57, 67
abstract_inverted_index.simultaneously	85
abstract_inverted_index.backpropagation	63
abstract_inverted_index.physics-informed	11
abstract_inverted_index.electromechanical	129
abstract_inverted_index.boundary-admissible	53
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	5
citation_normalized_percentile