On an efficient octic order sub-parametric finite element method on curved domains
DOI10.1016/j.camwa.2023.05.006OpenAlexW4378214647MaRDI QIDQ6104884
J. Sasikala, B. Venkatesh, S. M. Mallikarjunaiah, V. Kesavulu Naidu
Publication date: 28 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.05.006
Jacobianfinite element methodshape functionsisoparametric transformationshigher order triangular elementssub-parametric transformations
Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- Ritz-Galerkin approximations in blending function spaces
- Synthetic division based integration of rational functions of bivariate polynomial numerators with linear denominators over a unit triangle \(\{0 \leq \xi, \eta\leq 1, \xi + \eta\leq 1\}\) in the local parametric space \((\xi, \eta)\)
- Advantages of cubic arcs for approximating curved boundaries by subparametric transformations for some higher order triangular elements
- Curved, isoparametric, 'quadrilateral' elements for finite element analysis
- The Use of Parabolic Arcs in Matching Curved Boundaries in the Finite Element Method
- The Mathematical Theory of Finite Element Methods
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