Idioma:

khp-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory

Giani, Stefano ; Engström, Christian ; Grubišić, Luka

Journal of computational and applied mathematics, 2023-09, Vol.429, Article 115212 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
khp-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory
Autor: Giani, Stefano ; Engström, Christian ; Grubišić, Luka
Assuntos: Automatic adaptivity ; Beräkningsmatematik ; Computational Mathematics ; Discontinuous Galerkin method ; Inverse Laplace transform ; Matematik ; Mathematics ; Natural Sciences ; Naturvetenskap ; Spectral projection ; Wave equation with delay
É parte de: Journal of computational and applied mathematics, 2023-09, Vol.429, Article 115212
Descrição: In this paper, we present an adaptive spectral projection based finite element method to numerically approximate the solution of the wave equation with memory. The adaptivity is not restricted to the mesh (hp-adaptivity), but it is also applied to the size of the computed spectrum (k-adaptivity). The meshes are refined using a residual based error estimator, while the size of the computed spectrum is adapted using the L2 norm of the error of the projected data. We show that the approach can be very efficient and accurate.
Editor: Elsevier B.V
Idioma: Inglês

Links

Voltar para lista de resultados