Discontinuous Galerkin methods for acoustic wave propagation in polygons

DOI10.1007/s10915-018-0706-xzbMath1406.65080OpenAlexW2795608305MaRDI QIDQ1633533

Dominik Schötzau, Christoph Schwab, Fabian L. Müller

Publication date: 20 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0706-x

zbMATH Keywords

corner singularitiesoptimal convergence ratespolygonal domainsmesh refinementsdiscontinuous Galerkin finite element methodslinear wave equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (6)

Discontinuous Galerkin for the wave equation: a simplified a priori error analysis ⋮ Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media ⋮ A three-dimensional generalized finite element method for the simulation of wave propagation in fluid-filled fractures ⋮ A virtual element method for the wave equation on curved edges in two dimensions ⋮ Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification ⋮ A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients

Uses Software

• SciPy
• Triangle
• LNG_FEM

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