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2018 | OriginalPaper | Chapter

Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems

Authors : U. Langer, M. Neumüller, I. Toulopoulos

Published in: Large-Scale Scientific Computing

Publisher: Springer International Publishing

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Abstract

We present and analyze a new stable multi-patch space-time Isogeometric Analyis (IgA) method for the numerical solution of parabolic diffusion problems. The discrete bilinear form is elliptic on the IgA space with respect to a mesh-dependent energy norm. This property together with a corresponding boundedness property, consistency and approximation results for the IgA spaces yields a priori discretization error estimates. We propose an efficient implementation technique via tensor product representation, and fast space-time parallel solvers. We present numerical results confirming the efficiency of the space-time solvers on massively parallel computers using more than 100.000 cores.

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previous chapter Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach

next chapter Numerical Methods for Controlled Switching Diffusions

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Title: Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems
Authors: U. Langer
M. Neumüller
I. Toulopoulos
Publisher: Springer International Publishing
Book: Large-Scale Scientific Computing
Print ISBN: 978-3-319-73440-8

Electronic ISBN: 978-3-319-73441-5

Copyright Year: 2018
DOI: https://doi.org/10.1007/978-3-319-73441-5_2

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