Matches in SemOpenAlex for { <https://semopenalex.org/work/W3018139284> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W3018139284 abstract "Abstract This paper presents a new computational strategy along with a computational and mathematical framework for computing non-weak numerical solutions of stationary and time dependent partial differential equations. This approach utilizes strong form of the governing differential equations (GDE) and least squares approach in constructing the integral form. This new proposed approach is applied to one dimensional transient gasdynamics equation in Eulerian frame of reference using ρ, u, T as dependent variables. The currently used finite element approaches seek convergence of a solution in a fixed order space by h, p, or hp-adaptive processes. The fundamental point of departure in the proposed approach is that we seek the convergence of the computed converged solution over the spaces of different orders containing the basis functions. With this approach, dramatically higher convergence rates than those obtained for h, p, or hp-processes are achievable and the sequence of progressively converged solutions over the spaces of progressively increasing order in fact converge to the strong solution (analytical or theoretical) of the partial differential equation. It is demonstrated using one-dimensional transient Navier-Stokes equations for compressible fluid flow in Eulerian frame of reference, that in the presence of physical diffusion and dissipation, our computed solutions have exactly the same characteristics as the strong solutions. Riemann shock tube is used as a model problem." @default.
- W3018139284 created "2020-05-01" @default.
- W3018139284 creator A5016498640 @default.
- W3018139284 creator A5067765504 @default.
- W3018139284 date "2001-02-05" @default.
- W3018139284 modified "2023-09-23" @default.
- W3018139284 title "A New Theoretical and Computational Framework for Computing Solution of Higher Classes With Application to Gasdynamics in Eulerian Frame of Reference" @default.
- W3018139284 doi "https://doi.org/10.1115/etce2001-17149" @default.
- W3018139284 hasPublicationYear "2001" @default.
- W3018139284 type Work @default.
- W3018139284 sameAs 3018139284 @default.
- W3018139284 citedByCount "0" @default.
- W3018139284 crossrefType "proceedings-article" @default.
- W3018139284 hasAuthorship W3018139284A5016498640 @default.
- W3018139284 hasAuthorship W3018139284A5067765504 @default.
- W3018139284 hasConcept C11413529 @default.
- W3018139284 hasConcept C121332964 @default.
- W3018139284 hasConcept C126042441 @default.
- W3018139284 hasConcept C172849965 @default.
- W3018139284 hasConcept C28826006 @default.
- W3018139284 hasConcept C33923547 @default.
- W3018139284 hasConcept C41008148 @default.
- W3018139284 hasConcept C43058520 @default.
- W3018139284 hasConcept C459310 @default.
- W3018139284 hasConcept C53469067 @default.
- W3018139284 hasConcept C74650414 @default.
- W3018139284 hasConcept C74992021 @default.
- W3018139284 hasConcept C76155785 @default.
- W3018139284 hasConceptScore W3018139284C11413529 @default.
- W3018139284 hasConceptScore W3018139284C121332964 @default.
- W3018139284 hasConceptScore W3018139284C126042441 @default.
- W3018139284 hasConceptScore W3018139284C172849965 @default.
- W3018139284 hasConceptScore W3018139284C28826006 @default.
- W3018139284 hasConceptScore W3018139284C33923547 @default.
- W3018139284 hasConceptScore W3018139284C41008148 @default.
- W3018139284 hasConceptScore W3018139284C43058520 @default.
- W3018139284 hasConceptScore W3018139284C459310 @default.
- W3018139284 hasConceptScore W3018139284C53469067 @default.
- W3018139284 hasConceptScore W3018139284C74650414 @default.
- W3018139284 hasConceptScore W3018139284C74992021 @default.
- W3018139284 hasConceptScore W3018139284C76155785 @default.
- W3018139284 hasLocation W30181392841 @default.
- W3018139284 hasOpenAccess W3018139284 @default.
- W3018139284 hasPrimaryLocation W30181392841 @default.
- W3018139284 hasRelatedWork W1479774925 @default.
- W3018139284 hasRelatedWork W1615133267 @default.
- W3018139284 hasRelatedWork W1619787252 @default.
- W3018139284 hasRelatedWork W1621885647 @default.
- W3018139284 hasRelatedWork W2039483438 @default.
- W3018139284 hasRelatedWork W2111282965 @default.
- W3018139284 hasRelatedWork W2999378439 @default.
- W3018139284 hasRelatedWork W3002302657 @default.
- W3018139284 hasRelatedWork W3009868261 @default.
- W3018139284 hasRelatedWork W3017942594 @default.
- W3018139284 hasRelatedWork W3020357927 @default.
- W3018139284 hasRelatedWork W3042968449 @default.
- W3018139284 hasRelatedWork W3046984981 @default.
- W3018139284 hasRelatedWork W3095174516 @default.
- W3018139284 hasRelatedWork W3111523779 @default.
- W3018139284 hasRelatedWork W3111828857 @default.
- W3018139284 hasRelatedWork W3250287 @default.
- W3018139284 hasRelatedWork W2104071365 @default.
- W3018139284 hasRelatedWork W3118131570 @default.
- W3018139284 hasRelatedWork W3126782531 @default.
- W3018139284 isParatext "false" @default.
- W3018139284 isRetracted "false" @default.
- W3018139284 magId "3018139284" @default.
- W3018139284 workType "article" @default.