METHODS OF SOLVING OPERATOR EIGENPROBLEMS IN PARALLEL DISTRIBUTED MEMORY SYSTEMS AS APPLIED IN ELECTROMAGNETICS
This study presents numerical methods of solving operator eigenproblems, focusing on their applications in electromagnetics. The discussion concentrates on the analysis of new iterative algorithms or modifications of the existing ones, which are capable of finding a few eigenvalues from the point s...
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| Format: | Article |
| Language: | English |
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Gdańsk University of Technology
1998-10-01
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| Series: | TASK Quarterly |
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| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2386 |
| _version_ | 1811307628701155328 |
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| author | MICHAŁ REWIEŃSKI |
| author_facet | MICHAŁ REWIEŃSKI |
| author_sort | MICHAŁ REWIEŃSKI |
| collection | DOAJ |
| description |
This study presents numerical methods of solving operator eigenproblems, focusing on their applications in electromagnetics. The discussion concentrates on the analysis of new iterative algorithms or modifications of the existing ones, which are capable of finding a few eigenvalues from the point spectrum of a non-symmetric operator. The salient feature of the considered methods is a low computational cost and memory complexity as compared to alternative solutions. This paper also presents implementations of the investigated algorithms in parallel distributed memory systems, based on the message-passing parallel programming model and providing portable parallel eigensolvers. The discussion of the applied designs of the parallel algorithms is supported by the presentation of the results of performance tests in selected distributed memory environments, including scalable parallel supercomputer systems and networks of workstations. The results of these tests confirm high efficiency of the eigensolvers in the considered parallel environments. In this study attention is also drawn to the question of the applicability of the eigensolvers to problems of modelling of electromagnetic fields in dielectric waveguides. The results of numerical tests validating the methods in these applications determine the scope of problems which may be most effectively solved using the specific eigensolvers.
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| first_indexed | 2024-04-13T09:08:09Z |
| format | Article |
| id | doaj.art-47a625959371499a9d4101a800db90ae |
| institution | Directory Open Access Journal |
| issn | 1428-6394 |
| language | English |
| last_indexed | 2024-04-13T09:08:09Z |
| publishDate | 1998-10-01 |
| publisher | Gdańsk University of Technology |
| record_format | Article |
| series | TASK Quarterly |
| spelling | doaj.art-47a625959371499a9d4101a800db90ae2022-12-22T02:52:57ZengGdańsk University of TechnologyTASK Quarterly1428-63941998-10-0124METHODS OF SOLVING OPERATOR EIGENPROBLEMS IN PARALLEL DISTRIBUTED MEMORY SYSTEMS AS APPLIED IN ELECTROMAGNETICSMICHAŁ REWIEŃSKI0Technical University of Gdansk, Faculty of Electronics, Telecommunications and Computer Science This study presents numerical methods of solving operator eigenproblems, focusing on their applications in electromagnetics. The discussion concentrates on the analysis of new iterative algorithms or modifications of the existing ones, which are capable of finding a few eigenvalues from the point spectrum of a non-symmetric operator. The salient feature of the considered methods is a low computational cost and memory complexity as compared to alternative solutions. This paper also presents implementations of the investigated algorithms in parallel distributed memory systems, based on the message-passing parallel programming model and providing portable parallel eigensolvers. The discussion of the applied designs of the parallel algorithms is supported by the presentation of the results of performance tests in selected distributed memory environments, including scalable parallel supercomputer systems and networks of workstations. The results of these tests confirm high efficiency of the eigensolvers in the considered parallel environments. In this study attention is also drawn to the question of the applicability of the eigensolvers to problems of modelling of electromagnetic fields in dielectric waveguides. The results of numerical tests validating the methods in these applications determine the scope of problems which may be most effectively solved using the specific eigensolvers. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2386operator eigenproblemsparallel numerical methodscomputational electromagneticsboundary value problems |
| spellingShingle | MICHAŁ REWIEŃSKI METHODS OF SOLVING OPERATOR EIGENPROBLEMS IN PARALLEL DISTRIBUTED MEMORY SYSTEMS AS APPLIED IN ELECTROMAGNETICS TASK Quarterly operator eigenproblems parallel numerical methods computational electromagnetics boundary value problems |
| title | METHODS OF SOLVING OPERATOR EIGENPROBLEMS IN PARALLEL DISTRIBUTED MEMORY SYSTEMS AS APPLIED IN ELECTROMAGNETICS |
| title_full | METHODS OF SOLVING OPERATOR EIGENPROBLEMS IN PARALLEL DISTRIBUTED MEMORY SYSTEMS AS APPLIED IN ELECTROMAGNETICS |
| title_fullStr | METHODS OF SOLVING OPERATOR EIGENPROBLEMS IN PARALLEL DISTRIBUTED MEMORY SYSTEMS AS APPLIED IN ELECTROMAGNETICS |
| title_full_unstemmed | METHODS OF SOLVING OPERATOR EIGENPROBLEMS IN PARALLEL DISTRIBUTED MEMORY SYSTEMS AS APPLIED IN ELECTROMAGNETICS |
| title_short | METHODS OF SOLVING OPERATOR EIGENPROBLEMS IN PARALLEL DISTRIBUTED MEMORY SYSTEMS AS APPLIED IN ELECTROMAGNETICS |
| title_sort | methods of solving operator eigenproblems in parallel distributed memory systems as applied in electromagnetics |
| topic | operator eigenproblems parallel numerical methods computational electromagnetics boundary value problems |
| url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2386 |
| work_keys_str_mv | AT michałrewienski methodsofsolvingoperatoreigenproblemsinparalleldistributedmemorysystemsasappliedinelectromagnetics |