Titlebook: Anisotropic hp-Mesh Adaptation Methods; Theory, implementati Vít Dolej?í,Georg May Book 2022 The Editor(s) (if applicable) and The Author(s

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Metric Based Mesh Representation,oncept of the representation of simplicial meshes by a metric field, which is at the core of anisotropic mesh adaptation algorithms. This metric field defines a Riemannian metric over Ω, and it allows us to describe the geometry of the corresponding mesh elements.

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Interpolation Error Estimates for Three Dimensions,hedron . and define the interpolation error function and the corresponding error estimates. The extension is relatively straightforward but technically cumbersome. Therefore, we avoid some technical details that are intuitively understandable and can be derived by readers.

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Implementation Aspects,ction techniques which are required by our algorithms for estimating of the interpolation error. Moreover, in Sect. 9.2, we introduce a heuristic modification of the algorithm for the numerical solution of time-dependent problems.

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Book 2022l-oriented adaptation. Practical aspects of implementation are also explored, including several algorithms. Many numerical experiments using the discontinuous Galerkin method are presented to illustrate the performance of the adaptive techniques..This monograph is intended for scientists and researc

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2523-3343 veral algorithms. Many numerical experiments using the discontinuous Galerkin method are presented to illustrate the performance of the adaptive techniques..This monograph is intended for scientists and researc978-3-031-04278-2978-3-031-04279-9Series ISSN 2523-3343 Series E-ISSN 2523-3351

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Environmental Quality as a Public Goode difference between . and its interpolation (=interpolation error estimates) in several norms. These estimates take into account the geometry of mesh element .. Finally, we derive the optimal shape of a triangle with given barycenter, minimizing the interpolation error estimates.

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