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 作者：Elisabetta Repossi , Riccardo Rosso , Marco Verani 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (4), pp.1339-1377Springer 摘要：To model a liquid–gas mixture, in this article we propose a phase-field approach that might also provide a description of the expansion stage of a metal foam inside a hollow mold. We conceive the mixture as a two-phase incompressible–compressible fluid governed by a Nav...
 作者：Wei Shi , Kai Liu , Xinyuan Wu ... 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (4), pp.1379-1402Springer 摘要：In this paper, a novel energy-preserving numerical scheme for nonlinear Hamiltonian wave equations with Neumann boundary conditions is proposed and analyzed based on the blend of spatial discretization by finite element method (FEM) and time discretization by Average Vector Field...
 作者：Jeonghun J. Lee 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (2), pp.587-607Springer 摘要：We propose mixed finite element methods for the standard linear solid model in viscoelasticity and prove a priori error estimates. In our mixed formulation the governing equations of the problem become a symmetric hyperbolic system, so we can use standard techniques for a priori ...
 作者：Mehdi Ashkartizabi , Mina Aminghafari , Adel Mohammadpour 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (3), pp.643-656Springer 摘要：We find square roots of a complex-valued matrix $$A_{3 \times 3}$$ using equation $$B^{2}=A$$ . The proposed method is faster than Higham’s method and provides up to 8 square roots with less relative residual and error.
 作者：Emmanuil H. Georgoulis , Tristan Pryer 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (4), pp.1533-1551Springer 摘要：We prove the inf-sup stability of a discontinuous Galerkin scheme for second order elliptic operators in (unbalanced) mesh-dependent norms for quasi-uniform meshes for all spatial dimensions. This results in a priori error bounds in these norms. As an application we examine some ...
 作者：Dmitriy Leykekhman , Buyang Li 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (2), pp.541-565Springer 摘要：As a model of the second order elliptic equation with non-trivial boundary conditions, we consider the Laplace equation with mixed Dirichlet and Neumann boundary conditions on convex polygonal domains. Our goal is to establish that finite element discrete harmonic functions ...
 作者：Ying Li , Musheng Wei , Fengxia Zhang ... 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (4), pp.1553-1563Springer 摘要：In a paper published in 2013, Wang and Ma proposed a structure-preserving algorithm for computing the quaternion LU decomposition. They claimed that it was faster than the LU decomposition implemented in the quaternion Toolbox for Matlab (QTFM). But in 2015, Sangwine, one of...
 作者：J. K. Liu , S. J. Li 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (4), pp.1213-1215Springer 摘要：In this note, we show that the proof of Remark 3 of Lemma 3.2 in “A three-term derivative-free projection method for nonlinear monotone system of equations” (Calcolo 53:427–450, 2016 ) is not correct, which implies that the conclusion of Remark 3 is not appropriate to p...
 作者：Wei Ma 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (2), pp.503-514Springer 摘要：In this paper, we present the explicit and computable formula of the structured backward errors of the generalized saddle point systems. Simple numerical examples show that the expressions are useful for testing the stability of practical algorithms.
 作者：Phung Van Manh 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (3), pp.881-902Springer 摘要：We study the asymptotic behavior of harmonic interpolation of harmonic functions based on Radon projections when the chords coalesce to some points, a chord and a point. We show that the limit is the Lagrange or Taylor-type interpolation at coalescing points or chords.