On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type problems

DOI10.1007/978-3-319-96415-7_10zbMath1427.65166OpenAlexW2908086880MaRDI QIDQ2008667

Marlis Hochbruck, Jonas Köhler

Publication date: 26 November 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-96415-7_10

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems ⋮ A \(\mu\)-mode integrator for solving evolution equations in Kronecker form ⋮ A uniformly exponentially stable ADI scheme for Maxwell equations ⋮ Analysis of a Peaceman-Rachford ADI scheme for Maxwell equations in heterogeneous media ⋮ Error Analysis of Discontinuous Galerkin Discretizations of a Class of Linear Wave-type Problems ⋮ Error Analysis of an Energy Preserving ADI Splitting Scheme for the Maxwell Equations ⋮ Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media

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