Support operator method for Laplace equation on unstructured triangular grid

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dc.contributor.authorGanzha, Victor G.
dc.contributor.authorLiska, Richard
dc.contributor.authorShashkov, Mikhail
dc.contributor.authorZenger, Christoph
dc.date.accessioned2016-12-08T07:31:41Z
dc.date.available2016-12-08T07:31:41Z
dc.date.issued2002
dc.description.abstractA finite difference algorithm for solution of generalized Laplace equation on unstructured triangular grid is constructed by a support operator method. The support operator method first constructs discrete divergence operator from the divergence theorem and then constructs discrete gradient operator as the adjoint operator of the divergence. The adjointness of the operators is based on the continuum Green formulas which remain valid also for discrete operators. Developed method is exact for linear solution and has second order convergence rate. It is working well for discontinuous diffusion coefficient and very rough or very distorted grids which appear quite often e.~g. in Lagrangian simulations. Being formulated on the unstructured grid the method can be used on the region of arbitrary geometry shape. Numerical results confirm these properties of the developed method.en_US
dc.identifier.citationGanzha, V. G., Liska, R., Shashkov, M., Zenger, C. (2002). Support operator method for Laplace equation on unstructured triangular grid. Selcuk Journal of Applied Mathematics, 3 (1), 21-48.en_US
dc.identifier.endpage48
dc.identifier.issn1302-7980en_US
dc.identifier.startpage21
dc.identifier.urihttps://hdl.handle.net/20.500.12395/3449
dc.identifier.volume3
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectMimetric finite differenceen_US
dc.subjectLaplace equationen_US
dc.subjectUnstructured triangular griden_US
dc.subjectMimetrik sonlu farken_US
dc.subjectLaplace denklemien_US
dc.subjectYapılandırılmamış üçgen ızgaraen_US
dc.titleSupport operator method for Laplace equation on unstructured triangular griden_US
dc.typeArticleen_US

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