A Note on Anisotropic Interpolation Error Estimates for Isoparametric Quadrilateral Finite Elements
, 1996 . Anisotropic local interpolation error estimates are derived for quadrilateral and hexahedral Lagrangian finite elements with straight edges. These elements are allowed to have diameters with different asymptotic behaviour in different space directions.
Thomas Apel
core
Multidimensional Interpolatory Subdivision Schemes
, 1996 . This paper presents a general construction of multidimensional interpolatory subdivision schemes. In particular, we provide a concrete method for the construction of bivariate interpolatory subdivision schemes of increasing smoothness by finding an ...
Sherman D. Riemenschneider, Zuowei Shen
core
Learning pyramidal multi-scale harmonic wavelets for identifying the neuropathology propagation patterns of Alzheimer's disease. [PDF]
Med Image Anal, 2023 Liu H +5 more
europepmc +1 more source
, 2008 gridIt is a two-dimensional linear interpolation program. It takes randomly distributed data of the form x; y; z and interpolates it onto a regular rectangular grid. Key words and phrases: Linear Interpolation, Two Dimensions.
Bruce Ayati
core
Interpolation of Non-Smooth Functions on Anisotropic Finite Element Meshes [PDF]
, 1997 . In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math. Comp. 54(1990)190, 483--493) are discussed. The modified operators are defined for non-smooth functions and are suited for the application on anisotropic
Apel, Th., Thomas Apel, Apel, Thomas
core
Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model. [PDF]
Adv Contin Discret Model, 2022 Kumar P +3 more
europepmc +1 more source
Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
BIT Numer Math, 2022 Boehm U, Cox S, Gantner G, Stevenson R.
europepmc +1 more source
Anisotropic Mesh Refinement for Singularly Perturbed Reaction Diffusion Problems
, 1996 . The paper is concerned with the finite element resolution of layers appearing in singularly perturbed problems. A special anisotropic grid of Shishkin type is constructed for reaction diffusion problems.
Thomas Apel, Gert Lube
core
Optimal cubic Lagrange interpolation: Extremal node systems with minimal Lebesgue constant [PDF]
, 2015 In the theory of interpolation of continuous functions by algebraic polynomials of degree at most n − 1 > 2, the search for explicit analytic expressions of extremal node systems which lead to the minimal Lebesgue constant is still an intriguing topic in
RACK, Heinz-Joachim, VAJDA, Robert
core
Splines on Riemannian Manifolds and a Proof of a Conjecture by Wahba
, 1999 This paper extends spline methods to compact Riemannian manifolds in an rkhs setting. The approach is to use the mathematical framework of rkhs, along with integrating spectral geometry associated with compact Riemannian manifolds.
Peter T. Kim
core