Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration
Mean square approximation by optimal periodic interpolation
Following the research of Babuška and Práger, the author studies the approximation power of periodic interpolation in the mean square norm thus extending his own former results.
Mehrdimensionale Hermite-Interpolation und numerische Integration.
Mesh-based interpolation on 2-manifolds.
Meshless Polyharmonic Div-Curl Reconstruction
In this paper, we will discuss the meshless polyharmonic reconstruction of vector fields from scattered data, possibly, contaminated by noise. We give an explicit solution of the problem. After some theoretical framework, we discuss some numerical aspect arising in the problems related to the reconstruction of vector fields
Mixed Finite Elements in IR3 .
Modified Specht's plate bending element and its convergence analysis.
Morley finite element analysis for fourth-order elliptic equations under a semi-regular mesh condition
We present a precise anisotropic interpolation error estimate for the Morley finite element method (FEM) and apply it to fourth-order elliptic equations. We do not impose the shape-regularity mesh condition in the analysis. Anisotropic meshes can be used for this purpose. The main contributions of this study include providing a new proof of the term consistency. This enables us to obtain an anisotropic consistency error estimate. The core idea of the proof involves using the relationship between...
Multiple root finder algorithm for Legendre and Chebyshev polynomials via Newton's method.
Multivariate Birkhoff-Lagrange interpolation schemes and Cartesian sets of nodes.
Multivariate smooth interpolation that employs polyharmonic functions
We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example...