Superconvergent isogeometric transient analysis of wave equations

Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Isogeometric methods applied to problems in solid mechanics (74S22)

Cites Work

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A superconvergent isogeometric formulation for eigenvalue computation of three dimensional wave equation
A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
Accurate finite element modeling of linear elastodynamics problems with the reduced dispersion error
Efficient quadrature for NURBS-based isogeometric analysis
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A unified quadrature-based superconvergent finite element formulation for eigenvalue computation of wave equations
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
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Isogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass formulation
Superconvergent isogeometric analysis of natural frequencies for elastic continua with quadratic splines
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Pollution studies for high order isogeometric analysis and finite element for acoustic problems
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Isogeometric analysis: an overview and computer implementation aspects
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Evaluation of numerical integration methods in elastodynamics
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Superaccurate finite element eigenvalue computation
Isogeometric Analysis
Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach

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