Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two

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dc.catalogadorgjm
dc.contributor.authorFührer, Thomas
dc.contributor.authorHeuer, Norbert
dc.date.accessioned2023-07-18T14:09:43Z
dc.date.available2023-07-18T14:09:43Z
dc.date.issued2019
dc.description.abstractWe present quasi-diagonal preconditioners for piecewise polynomial discretizations of pseudodifferential operators of order minus two in any space dimension. Here, quasi-diagonal means diagonal up to a sparse transformation. Considering shape regular simplicial meshes and arbitrary fixed polynomial degrees, we prove, for dimensions larger than one, that our preconditioners are asymptotically optimal. Numerical experiments in two, three and four dimensions confirm our results. For each dimension, we report on condition numbers for piecewise constant and piecewise linear polynomials.
dc.description.funderCONICYT through FONDECYT
dc.fechaingreso.objetodigital2023-07-18
dc.fuente.origenWOS
dc.identifier.doi10.1007/s10915-018-0887-3
dc.identifier.eissn1573-7691
dc.identifier.issn0885-7474
dc.identifier.urihttps://doi.org/10.1007/s10915-018-0887-3
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74200
dc.identifier.wosidWOS:000464896500019
dc.information.autorucFacultad de Matemáticas; Führer, Thomas; 0000-0001-5034-6593; 250324
dc.information.autorucFacultad de Matemáticas; Heuer, Norbert; 0000-0002-5171-1457; 1006459
dc.issue.numero2
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final1181
dc.pagina.inicio1161
dc.revistaJournal of Scientific Computing
dc.rightsacceso restringido
dc.subjectPseudodifferential operator of negative order
dc.subjectDiagonal scaling
dc.subjectAdditive Schwarz method
dc.subjectPreconditioner
dc.subjectNegative order Sobolev spaces
dc.titleOptimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two
dc.typeartículo
dc.volumen79
sipa.codpersvinculados250324
sipa.codpersvinculados1006459
sipa.indexWOS
sipa.trazabilidadWOS;05-06-2021
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