Gauss-Jacobi quadrature rules for n-simplex with applications to finite element methods
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Publication:1836268
DOI10.1016/0045-7825(83)90103-2zbMath0504.65012OpenAlexW2073414023MaRDI QIDQ1836268
Publication date: 1983
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(83)90103-2
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Cites Work
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- Reconsideration of rectangular Lagrange families with hierarchy-ranking bases
- Fundamental theory of the semi-radial singularity mapping with applications to fracture mechanics
- Some general Lagrange interpolations over simplex finite elements with reference to derivative singularities
- Semi-radial singularity mapping theory for line singularities in fracture mechanics
- Generalized Lagrange family for the cube with special reference to infinite-domain interpolations
- Techniques for developing ‘special’ finite element shape functions with particular reference to singularities
- Quadrilateral element with semi-radial singularity mapping
- The generation of elements with singularities
- Families of consistent conforming elements with singular derivative fields
- Experiences with Orthogonal Polynomials and „Best”︁ Numerical Integration Formulas on a Triangle; with Particular Reference to Finite Element Approximations
- Gaussian quadrature formulas for triangles