High-order spline finite element method for solving time-dependent electromagnetic waves

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Approximations and expansions (41Axx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Local refinement of analysis-suitable T-splines
Approximation power of polynomial splines on \(T\)-meshes
Towards computability of elliptic boundary value problems in variational formulation
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
Stable and accurate wave-propagation in discontinuous media
A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method
Local spline approximation methods
A practical guide to splines
Boundary element methods for Maxwell transmission problems in Lipschitz domains
A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes
Boundary element methods for Maxwell's equations on non-smooth domains
Wave boundary elements: a theoretical overview presenting applications in scattering of short waves
Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
Pollution studies for high order isogeometric analysis and finite element for acoustic problems
Enhanced conformal perfectly matched layers for Bernstein-Bézier finite element modelling of short wave scattering
Adaptive finite element method for the sound wave problems in two kinds of media
A collocation algorithm based on septic B-splines and bifurcation of traveling waves for Sawada-Kotera equation
An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation
Higher-order accurate two-step finite difference schemes for the many-dimensional wave equation
On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation
L-splines
Acoustic wave propagation and its application to fluid structure interaction using the cumulant lattice Boltzmann method
A Bernstein-Bézier Lagrange-Galerkin method for three-dimensional advection-dominated problems
A C ⁰ finite element method for the biharmonic problem without extrinsic penalization
Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications
An efficient complex-frequency shifted-perfectly matched layer for second-order acoustic wave equation
Use of Wave Boundary Elements for Acoustic Computations
Reflection imaging without low frequencies
Spline Interpolation and Smoothing on the Sphere
Spline Functions on Triangulations
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Time-domain finite-element methods
Numerical solutions of the equal width equation by trigonometric cubic B‐spline collocation method based on <scp>Rubin–Graves</scp> type linearization
Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction
A novel perspective for simulations of the modified equal-width wave equation by cubic Hermite B-spline collocation method

This page was built for publication: High-order spline finite element method for solving time-dependent electromagnetic waves