A new multivariate spline based on mixed partial derivatives and its finite element approximation

Bishnu P. Lamichhane; Stephen G. Roberts; Markus Hegland

doi:10.1016/j.aml.2013.11.008

A new multivariate spline based on mixed partial derivatives and its finite element approximation

Bishnu P. Lamichhane^*, Stephen G. Roberts, Markus Hegland

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We present a new multivariate spline using mixed partial derivatives. We show the existence and uniqueness of the proposed multivariate spline problem, and propose a simple finite element approximation.

Original language	English
Pages (from-to)	82-85
Number of pages	4
Journal	Applied Mathematics Letters
Volume	35
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2013.11.008
Publication status	Published - Sept 2014

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title = "A new multivariate spline based on mixed partial derivatives and its finite element approximation",

abstract = "We present a new multivariate spline using mixed partial derivatives. We show the existence and uniqueness of the proposed multivariate spline problem, and propose a simple finite element approximation.",

keywords = "Finite element method, Multivariate spline, Scattered data smoothing, Thin plate spline",

author = "Lamichhane, \{Bishnu P.\} and Roberts, \{Stephen G.\} and Markus Hegland",

year = "2014",

month = sep,

doi = "10.1016/j.aml.2013.11.008",

language = "English",

volume = "35",

pages = "82--85",

journal = "Applied Mathematics Letters",

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T1 - A new multivariate spline based on mixed partial derivatives and its finite element approximation

AU - Lamichhane, Bishnu P.

AU - Roberts, Stephen G.

AU - Hegland, Markus

PY - 2014/9

Y1 - 2014/9

N2 - We present a new multivariate spline using mixed partial derivatives. We show the existence and uniqueness of the proposed multivariate spline problem, and propose a simple finite element approximation.

AB - We present a new multivariate spline using mixed partial derivatives. We show the existence and uniqueness of the proposed multivariate spline problem, and propose a simple finite element approximation.

KW - Finite element method

KW - Multivariate spline

KW - Scattered data smoothing

KW - Thin plate spline

UR - https://www.scopus.com/pages/publications/84901929820

U2 - 10.1016/j.aml.2013.11.008

DO - 10.1016/j.aml.2013.11.008

M3 - Article

SN - 0893-9659

VL - 35

SP - 82

EP - 85

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

A new multivariate spline based on mixed partial derivatives and its finite element approximation

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