Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100485081> ?p ?o ?g. }
- W3100485081 endingPage "12" @default.
- W3100485081 startingPage "1" @default.
- W3100485081 abstract "This work addresses uncertainty quantification of electromagnetic devices determined by the eddy current problem. The multilevel Monte Carlo (MLMC) method is used for the treatment of uncertain parameters while the devices are discretized in space by the finite element method. Both methods yield numerical approximations such that the total errors is split into stochastic and spatial contributions. We propose a particular implementation where the spatial error is controlled based on a Richardson-extrapolation-based error indicator. The stochastic error in turn is efficiently reduced in the MLMC approach by distributing the samples on multiple grids. The method is applied to a toy problem with closed-form solution and a permanent magnet synchronous machine with uncertainties. The uncertainties under consideration are related to the material properties in the stator and the magnets in the rotor. The examples show that the error indicator works reliably, the meshes used for the different levels do not have to be nested and, most importantly, MLMC reduces the computational cost by at least one order of magnitude compared to standard Monte Carlo." @default.
- W3100485081 created "2020-11-23" @default.
- W3100485081 creator A5005504877 @default.
- W3100485081 creator A5025553101 @default.
- W3100485081 creator A5054323051 @default.
- W3100485081 creator A5061054427 @default.
- W3100485081 date "2019-08-01" @default.
- W3100485081 modified "2023-10-16" @default.
- W3100485081 title "A Multilevel Monte Carlo Method for High-Dimensional Uncertainty Quantification of Low-Frequency Electromagnetic Devices" @default.
- W3100485081 cites W1977240713 @default.
- W3100485081 cites W1978501336 @default.
- W3100485081 cites W1998209093 @default.
- W3100485081 cites W2010828459 @default.
- W3100485081 cites W2014563238 @default.
- W3100485081 cites W2014945091 @default.
- W3100485081 cites W2036766781 @default.
- W3100485081 cites W2058362163 @default.
- W3100485081 cites W2079884585 @default.
- W3100485081 cites W2091203124 @default.
- W3100485081 cites W2119454322 @default.
- W3100485081 cites W2133743191 @default.
- W3100485081 cites W2135459060 @default.
- W3100485081 cites W2144177825 @default.
- W3100485081 cites W2163715525 @default.
- W3100485081 cites W2284801384 @default.
- W3100485081 cites W2305324191 @default.
- W3100485081 cites W2613855071 @default.
- W3100485081 cites W2895692827 @default.
- W3100485081 cites W2945120875 @default.
- W3100485081 cites W2964218952 @default.
- W3100485081 cites W3021293439 @default.
- W3100485081 cites W3046457476 @default.
- W3100485081 cites W3103019089 @default.
- W3100485081 cites W3103667344 @default.
- W3100485081 cites W3105534477 @default.
- W3100485081 cites W4255975175 @default.
- W3100485081 cites W4300600608 @default.
- W3100485081 doi "https://doi.org/10.1109/tmag.2019.2911053" @default.
- W3100485081 hasPublicationYear "2019" @default.
- W3100485081 type Work @default.
- W3100485081 sameAs 3100485081 @default.
- W3100485081 citedByCount "4" @default.
- W3100485081 countsByYear W31004850812020 @default.
- W3100485081 countsByYear W31004850812021 @default.
- W3100485081 countsByYear W31004850812022 @default.
- W3100485081 crossrefType "journal-article" @default.
- W3100485081 hasAuthorship W3100485081A5005504877 @default.
- W3100485081 hasAuthorship W3100485081A5025553101 @default.
- W3100485081 hasAuthorship W3100485081A5054323051 @default.
- W3100485081 hasAuthorship W3100485081A5061054427 @default.
- W3100485081 hasBestOaLocation W31004850812 @default.
- W3100485081 hasConcept C105795698 @default.
- W3100485081 hasConcept C11413529 @default.
- W3100485081 hasConcept C119857082 @default.
- W3100485081 hasConcept C121332964 @default.
- W3100485081 hasConcept C121684516 @default.
- W3100485081 hasConcept C126255220 @default.
- W3100485081 hasConcept C131357438 @default.
- W3100485081 hasConcept C132459708 @default.
- W3100485081 hasConcept C134306372 @default.
- W3100485081 hasConcept C135628077 @default.
- W3100485081 hasConcept C17281054 @default.
- W3100485081 hasConcept C19499675 @default.
- W3100485081 hasConcept C28826006 @default.
- W3100485081 hasConcept C31487907 @default.
- W3100485081 hasConcept C32230216 @default.
- W3100485081 hasConcept C33923547 @default.
- W3100485081 hasConcept C41008148 @default.
- W3100485081 hasConcept C62520636 @default.
- W3100485081 hasConcept C73000952 @default.
- W3100485081 hasConcept C97355855 @default.
- W3100485081 hasConceptScore W3100485081C105795698 @default.
- W3100485081 hasConceptScore W3100485081C11413529 @default.
- W3100485081 hasConceptScore W3100485081C119857082 @default.
- W3100485081 hasConceptScore W3100485081C121332964 @default.
- W3100485081 hasConceptScore W3100485081C121684516 @default.
- W3100485081 hasConceptScore W3100485081C126255220 @default.
- W3100485081 hasConceptScore W3100485081C131357438 @default.
- W3100485081 hasConceptScore W3100485081C132459708 @default.
- W3100485081 hasConceptScore W3100485081C134306372 @default.
- W3100485081 hasConceptScore W3100485081C135628077 @default.
- W3100485081 hasConceptScore W3100485081C17281054 @default.
- W3100485081 hasConceptScore W3100485081C19499675 @default.
- W3100485081 hasConceptScore W3100485081C28826006 @default.
- W3100485081 hasConceptScore W3100485081C31487907 @default.
- W3100485081 hasConceptScore W3100485081C32230216 @default.
- W3100485081 hasConceptScore W3100485081C33923547 @default.
- W3100485081 hasConceptScore W3100485081C41008148 @default.
- W3100485081 hasConceptScore W3100485081C62520636 @default.
- W3100485081 hasConceptScore W3100485081C73000952 @default.
- W3100485081 hasConceptScore W3100485081C97355855 @default.
- W3100485081 hasFunder F4320320879 @default.
- W3100485081 hasFunder F4320321114 @default.
- W3100485081 hasIssue "8" @default.
- W3100485081 hasLocation W31004850811 @default.
- W3100485081 hasLocation W31004850812 @default.
- W3100485081 hasLocation W31004850813 @default.
- W3100485081 hasOpenAccess W3100485081 @default.