Titlebook: Wave Phenomena; Mathematical Analysi Willy D?rfler,Marlis Hochbruck,Christian Wieners Textbook 2023 The Editor(s) (if applicable) and The A

Bmd955

Discontinuous Galerkin Methods for Linear Hyperbolic Systems is based on solving Riemann problems, i.e., by construction of piecewise constant solutions in space and time. We start with simple examples for interface and transmission problems, and then consider the general case for waves in heterogeneous media.

松軟

A Petrov–Galerkin Space-Time Approximation for Linear Hyperbolic Systemsity, this extends to convergence for weak solutions. Finally, we address a posteriori error bounds. For a given error functional, the corresponding dual solution is computed and an error indicator is defined by weighted residuals. A reliable error estimator of weak solutions is obtained computing local conforming reconstructions.

Employee

A Petrov–Galerkin Space-Time Approximation for Linear Hyperbolic Systemsity, this extends to convergence for weak solutions. Finally, we address a posteriori error bounds. For a given error functional, the corresponding dual solution is computed and an error indicator is defined by weighted residuals. A reliable error estimator of weak solutions is obtained computing local conforming reconstructions.

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大火