We present a numerically stable one-point quadrature rule for the stiffness matrix and mass matrix of the three-dimensional numerical manifold method(3D NMM). The rule simplifies the integration over irregularly shaped manifold elements and overcomes locking issues, and it does not cause spurious ...
1)one point quadrature一点积分 1.The mixed element is formulated with stabilized one point quadrature scheme and par- ticularly implicit characteristic-based algorithm for eliminating spurious numerical osc.混合元方法采用基于一点积分方案并结合可以滤掉虚假的数值震荡的隐式特征线法。 2)point-by-point int...
QuadraturesCardinalB-splineTo compute approximately an integral(1) ∫ 0 m φ m ( x ) f ( x ) d x , where φ m ( ⋅ ) is cardinal B-spline, we used composite rectangular rule. We proved that, on the "quasi uniform" mesh, the used formula has, conditionally speaking, algebraic ...
One-point quadrature ruleDaubechies scale functionWaveletThis note is concerned with an efficient computation of integrals of products of a smooth function and Daubechies scale function with partial support by using a one-point quadrature rule. The error estimate is obtained. The rule is illustrated ...
One-point Gauss quadrature ruleInfluence functionsThe peridynamics theory is a reformulation of the classical theory of continuum mechanics, based on long-range interactions, suitable for the description of material failure and damage. Integration plays a central role in this theory. We study one-...