Space-Time Hexahedral Finite Element Methods for Parabolic Evolution Problems

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Domain Decomposition Methods in Science and Engineering XXVI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 145))

Abstract

Time-step** methods in combination with some spatial discretization method like the finite element method (FEM) are still the standard approach to the numerical solution of IBVPs like (1); see, e.g., [16]. This time-step** approach as well as the more recent discontinuous Galerkin, or discontinuous Petrov–Galerkin methods based on time slices or slabs are in principle sequential.

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Correspondence to Ulrich Langer .

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Langer, U., Schafelner, A. (2022). Space-Time Hexahedral Finite Element Methods for Parabolic Evolution Problems. In: Brenner, S.C., Chung, E., Klawonn, A., Kwok, F., Xu, J., Zou, J. (eds) Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145. Springer, Cham. https://doi.org/10.1007/978-3-030-95025-5_55

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