2020/01/14 by Oleksii Beznosov, Beznosov, Oleksii, Daniel Appelö +1 · 1 citation
Earth and Planetary Sciences · Engineering · #35L05 #65M60 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Seismic Imaging and Inversion Techniques
paper · pdf · doi:10.48550/arxiv.2001.05072
openalex publication_date 2020/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present high order accurate numerical methods for the wave equation that\ncombines efficient Hermite methods with eometrically flexible discontinuous\nGalerkin methods by using overset grids. Near boundaries we use thin boundary\nfitted curvilinear grids and in the volume we use Cartesian grids so that the\ncomputational complexity of the solvers approach a structured Cartesian Hermite\nmethod. Unlike many other overset methods we do not need to add artificial\ndissipation but we find that the built in dissipation of the Hermite and\ndiscontinuous Galerkin methods is sufficient to maintain stability. By\nnumerical experiments we demonstrate the stability, accuracy, efficiency and\napplicability of the methods to forward and inverse problems.\n