A Quadratic Finite Element Method for solving Biharmonic Problems in IRn.
A quadratic spline-wavelet basis on the interval
In signal and image processing as well as in numerical solution of differential equations, wavelets with short support and with vanishing moments are important because they have good approximation properties and enable fast algorithms. A B-spline of order is a spline function that has minimal support among all compactly supported refinable functions with respect to a given smoothness. And recently, B. Han and Z. Shen constructed Riesz wavelet bases of with vanishing moments based on B-spline...
A quadratically convergent Bernoulli-like algorithm for solving matrix polynomial equations in Markov chains.
A Quadratically Convergent Jacobi-Like Method for Real Matrices With Complex Eigenvalues.
A quadrature formula of rational type for integrands with one endpoint singularity.
A Quadrature-Based Approach to Improving the Collocation Method.
A Quantitative Discrete H2-Regularity Estimate for the Shortley-Weller Scheme in Convex Domains.
A quasi-boundary value method for regularizing nonlinear ill-posed problems.
A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D
Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained mortar spaces in case of hexahedral triangulations. As a result, standard efficient iterative solvers as...
A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D
Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained mortar spaces in case of hexahedral triangulations. As a result, standard efficient iterative solvers...
A Quasi-Monte Carlo Method for Computing Double and Other Multiple Integrals.
A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows
We propose a quasi-Newton algorithm for solving fluid-structure interaction problems. The basic idea of the method is to build an approximate tangent operator which is cost effective and which takes into account the so-called added mass effect. Various test cases show that the method allows a significant reduction of the computational effort compared to relaxed fixed point algorithms. We present 2D and 3D fluid-structure simulations performed either with a simple 1D structure model or with shells...
A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows
We propose a quasi-Newton algorithm for solving fluid-structure interaction problems. The basic idea of the method is to build an approximate tangent operator which is cost effective and which takes into account the so-called added mass effect. Various test cases show that the method allows a significant reduction of the computational effort compared to relaxed fixed point algorithms. We present 2D and 3D fluid-structure simulations performed either with a simple 1D structure model or with...
A quasi-Newton method for solving fixed point problems in Hilbert spaces.
A quasi-variational inequality problem arising in the modeling of growing sandpiles
Existence of a solution to the quasi-variational inequality problem arising in a model for sand surface evolution has been an open problem for a long time. Another long-standing open problem concerns determining the dual variable, the flux of sand pouring down the evolving sand surface, which is also of practical interest in a variety of applications of this model. Previously, these problems were solved for the special case in which the inequality is simply variational. Here, we introduce a regularized...
A Quaternion QR Algorithm.
A random search algorithm for finding minimum
A rank-one updating approach for solving systems of linear equations in the least squares sense.
A Rapid Generalized Method of Bisection for Solving Systems of Non-linear Equations.
A rational canonical form algorithm
We present an easy-to-implement algorithm for transforming a matrix to rational canonical form.