On the Analysis of Finite Volume Methods for Evolutionary Problems
Finite volume or finite element methods now dominate the modeling of steady flows because of their natural handling of complex configurations. They should have a similar advantage for unsteady flows; however, their error analysis on nonuniform meshes has met a number of difficulties. In this paper a...
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| Veröffentlicht in: | SIAM journal on numerical analysis 1998-12, Vol.35 (6), p.2195-2222 |
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| container_title | SIAM journal on numerical analysis |
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| creator | Morton, K. W. |
| description | Finite volume or finite element methods now dominate the modeling of steady flows because of their natural handling of complex configurations. They should have a similar advantage for unsteady flows; however, their error analysis on nonuniform meshes has met a number of difficulties. In this paper a new approach is adopted which makes greater use of a Godunov formulation. It opens the way for a fuller comparison of characteristic-based methods with semidiscrete methods. |
| doi_str_mv | 10.1137/S0036142997316967 |
| format | Article |
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Scientific computation</subject><subject>Partial differential equations, initial value problems and time-dependant initial-boundary value problems</subject><subject>Physics</subject><subject>Scalars</subject><subject>Sciences and techniques of general use</subject><subject>Truncation errors</subject><subject>Velocity</subject><subject>Vertices</subject><subject>Vortices</subject><issn>0036-1429</issn><issn>1095-7170</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNplkEtLAzEUhYMoWKs_QHARxO1onpNkWUurQqWCj-2QySR0ynRSk7TQf29Kiy5cXe4937kcDgDXGN1jTMXDO0K0xIwoJSguVSlOwAAjxQuBBToFg71c7PVzcBHjEuVdYjoAj_MepoWFo153u9hG6B2ctn2bLPzy3WZl4atNC99E6HyAk22-pdb3OuzgW_B1Z1fxEpw53UV7dZxD8DmdfIyfi9n86WU8mhWGEpQKp3WjaiUxF7XGpsaOWkMUQ0paQohAQjFmJOK1QYxRWTPpVCNpY0lJmrKmQ3B7-LsO_ntjY6qWfhNy7lgpQnjJBJIZwgfIBB9jsK5ah3aV41YYVfumqn9NZc_d8bGORncu6N608c8ohCSYZezmgC1j8uFXJlwKwjn9AfFLcAU</recordid><startdate>19981201</startdate><enddate>19981201</enddate><creator>Morton, K. 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W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c320t-faad9b98157ba1cb1f3ec294098e222707944c805bc04438b48f9d83de262d6b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Advection</topic><topic>Aircraft</topic><topic>Approximation</topic><topic>Computational techniques</topic><topic>Conservation laws</topic><topic>Damping</topic><topic>Error analysis</topic><topic>Error rates</topic><topic>Exact sciences and technology</topic><topic>Finite volume method</topic><topic>Finite-element and galerkin methods</topic><topic>Finite-volume methods</topic><topic>Mathematical methods in physics</topic><topic>Mathematics</topic><topic>Numerical analysis</topic><topic>Numerical analysis. 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| ispartof | SIAM journal on numerical analysis, 1998-12, Vol.35 (6), p.2195-2222 |
| issn | 0036-1429 1095-7170 |
| language | eng |
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| source | SIAM Journals; JSTOR Mathematics & Statistics; JSTOR |
| subjects | Advection Aircraft Approximation Computational techniques Conservation laws Damping Error analysis Error rates Exact sciences and technology Finite volume method Finite-element and galerkin methods Finite-volume methods Mathematical methods in physics Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Scalars Sciences and techniques of general use Truncation errors Velocity Vertices Vortices |
| title | On the Analysis of Finite Volume Methods for Evolutionary Problems |
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