Adaptive space‐time boundary element methods for the wave equation | Zendy

Zank Marco | Zendy; Steinbach Olaf | Zendy

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Adaptive space‐time boundary element methods for the wave equation

Author(s) -

Zank Marco,

Steinbach Olaf

Publication year - 2016

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201610377

Subject(s) - mathematical analysis , ansatz , boundary (topology) , mathematics , a priori and a posteriori , boundary element method , representation (politics) , space (punctuation) , domain (mathematical analysis) , wave equation , estimator , finite element method , physics , computer science , mathematical physics , philosophy , statistics , epistemology , politics , political science , law , thermodynamics , operating system

For the solution of the wave equation a space‐time energetic boundary integral formulation is used. The resulting single layer boundary integral equation is discretised by a conforming ansatz space on the lateral boundary. To derive an adaptive scheme an a posteriori error estimator based on the representation formula is used. Finally, numerical examples for a one‐dimensional spatial domain are presented. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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