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dc.contributor.author
Hiptmair, Ralf
dc.contributor.author
Panchal, Piyush
dc.date.accessioned
2021-07-30T07:05:01Z
dc.date.available
2021-07-27T07:58:09Z
dc.date.available
2021-07-30T07:05:01Z
dc.date.issued
2021-07
dc.identifier.uri
http://hdl.handle.net/20.500.11850/497827
dc.description.abstract
Boundary element methods are a well-established technique for solving linear boundary value problems for electrostatic potentials. In this context we present a novel way to approximate the forces exerted by electrostatic fields on conducting objects. Like the standard post-processing technique employing surface integrals derived from the Maxwell stress tensor the new approach solely relies on surface integrals, but, compared to the former, offers better accuracy and faster convergence. The new formulas arise from the interpretation of forces fields as shape derivatives, in the spirit of the virtual work principle, combined with the adjoint approach from shape optimization. In contrast to standard formulas, they meet the continuity and smoothing requirements of abstract duality arguments, which supply a rigorous underpinning for their observed superior performance.
en_US
dc.language.iso
en
en_US
dc.publisher
Seminar for Applied Mathematics, ETH Zurich
en_US
dc.subject
Electrostatics
en_US
dc.subject
Electromagnetic forces
en_US
dc.subject
Shape derivative
en_US
dc.subject
Boundary integral equations
en_US
dc.subject
Boundary element method
en_US
dc.title
Electrostatic Force Computation with Boundary Element Methods
en_US
dc.type
Report
ethz.journal.title
SAM Research Report
ethz.journal.volume
2021-21
en_US
ethz.size
25 p.
en_US
ethz.publication.place
Zurich
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
en_US
ethz.identifier.url
https://math.ethz.ch/sam/research/reports.html?id=963
ethz.date.deposited
2021-07-27T07:58:15Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.identifier.internal
https://math.ethz.ch/sam/research/reports.html?id=963
en_US
ethz.availability
Metadata only
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ethz.rosetta.installDate
2021-07-30T07:05:07Z
ethz.rosetta.lastUpdated
2021-07-30T07:05:07Z
ethz.rosetta.versionExported
true
ethz.COinS
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