A High‐Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids
From MaRDI portal
Publication:3593032
DOI10.1137/050644379zbMath1127.78011OpenAlexW2066598217MaRDI QIDQ3593032
Publication date: 24 September 2007
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/050644379
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20)
Related Items
High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces, On the theoretical foundation of overset grid methods for hyperbolic problems: well-posedness and conservation, An added-mass partition algorithm for fluid-structure interactions of compressible fluids and nonlinear solids, On Galerkin difference methods, A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations, High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments, Time-stable overset grid method for hyperbolic problems using summation-by-parts operators, Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs, An energy-based summation-by-parts finite difference method for the wave equation in second order form, Hermite Methods for the Scalar Wave Equation, A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations, A high order compact time/space finite difference scheme for the wave equation with variable speed of sound, Upwind schemes for the wave equation in second-order form, Numerical methods for solid mechanics on overlapping grids: linear elasticity, A High-Order Finite Difference WENO Scheme for Ideal Magnetohydrodynamics on Curvilinear Meshes, High-order upwind schemes for the wave equation on overlapping grids: Maxwell's equations in second-order form, Efficient Upwind Finite-Difference Schemes for Wave Equations on Overset Grids, Higher-order accurate two-step finite difference schemes for the many-dimensional wave equation, On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments, A stable and accurate partitioned algorithm for conjugate heat transfer, Deforming composite grids for solving fluid structure problems, High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions, Multigrid with nonstandard coarse-level operators and coarsening factors, Fractional-step finite difference schemes for incompressible elasticity on overset grids, Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations, Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates, Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials, An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form, A finite-difference time-domain method for Lorentz dispersive media with reduced errors within arbitrary frequency bands, Multi-rate time integration on overset meshes, Acoustic wave propagation in complicated geometries and heterogeneous media, Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement, An Immersed Discontinuous Galerkin Method for Acoustic Wave Propagation in Inhomogeneous Media, Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations, Galerkin differences for acoustic and elastic wave equations in two space dimensions, Grid stabilization of high-order one-sided differencing. II: Second-order wave equations, Implicit multistage two-derivative discontinuous Galerkin schemes for viscous conservation laws, An overset grid method for large eddy simulation of turbomachinery stages, A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations, Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes, Stable and accurate numerical methods for generalized Kirchhoff-Love plates, A composite grid solver for conjugate heat transfer in fluid-structure systems, A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions, A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model, High-Order Upwind Methods for Wave Equations on Curvilinear and Overlapping Grids, A high-order accurate scheme for Maxwell's equations with a generalized dispersive material (GDM) model and material interfaces, Hermite-discontinuous Galerkin overset grid methods for the scalar wave equation
Uses Software
