MINRES for Second-Order PDEs with Singular Data

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dc.catalogadorgjm
dc.contributor.authorFührer Thomas
dc.contributor.authorHeuer, Norbert
dc.contributor.authorKarkulik, Michael
dc.date.accessioned2023-07-17T19:58:13Z
dc.date.available2023-07-17T19:58:13Z
dc.date.issued2022
dc.description.abstractMinimum residual methods such as the least-squares finite element method (FEM) or the discontinuous Petrov-Galerkin (DPG) method with optimal test functions usually exclude singular data, e.g., non-square-integrable loads. We consider a DPG method and a least-squares FEM for the Poisson problem. For both methods we analyze regularization approaches that allow the use of H-1 loads and also study the case of point loads. For all cases we prove appropriate convergence orders. We present various numerical experiments that confirm our theoretical results. Our approach extends to general well-posed second-order problems.
dc.description.funderANID through FONDECYT
dc.fechaingreso.objetodigital2023-07-17
dc.fuente.origenWOS
dc.identifier.doi10.1137/21M1457023
dc.identifier.eissn1095-7170
dc.identifier.issn0036-1429
dc.identifier.urihttps://doi.org/10.1137/21M1457023
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74192
dc.identifier.wosidWOS:000814569400005
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.numero3
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final1135
dc.pagina.inicio1111
dc.revistaSIAM Journal on Numerical Analysis
dc.rightsacceso restringido
dc.subjectMinimum residual method
dc.subjectLeast-squares method
dc.subjectDiscontinuous Petrov-Galerkin method
dc.subjectSingular data
dc.subjectMinimum residual method
dc.subjectLeast-squares method
dc.subjectDiscontinuous Petrov-Galerkin method
dc.subjectSingular data
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.subject.ods09 Industry, innovation and infrastructure
dc.subject.odspa09 Industria, innovación e infraestructura
dc.titleMINRES for Second-Order PDEs with Singular Data
dc.typeartículo
dc.volumen60
sipa.codpersvinculados250324
sipa.codpersvinculados1006459
sipa.indexWOS
sipa.trazabilidadWOS;2022-07-08
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