\(khp\)-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory
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Publication:6136542
DOI10.1016/j.cam.2023.115212MaRDI QIDQ6136542
Christian Engström, Luka Grubišić, Stefano Giani
Publication date: 31 August 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
spectral projectiondiscontinuous Galerkin methodinverse Laplace transformautomatic adaptivitywave equation with delay
Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical methods for integral equations, integral transforms (65Rxx)
Cites Work
- Unnamed Item
- Benchmark results for testing adaptive finite element eigenvalue procedures. II: Conforming eigenvector and eigenvalue estimates.
- An iterative adaptive finite element method for elliptic eigenvalue problems
- An a posteriori error estimator for \(hp\)-adaptive continuous Galerkin methods for photonic crystal applications
- Benchmark results for testing adaptive finite element eigenvalue procedures
- Anisotropic error estimates for an interpolant defined via moments
- Numerical solution via Laplace transforms of a fractional order evolution equation
- Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Reliable anisotropic-adaptive discontinuous Galerkin method for simplified \(\mathbf{P}_{\mathbf{N}}\) approximations of radiative transfer
- A spectral projection based method for the numerical solution of wave equations with memory
- Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term
- A general theory of heat conduction with finite wave speeds
- Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures
- A Unified Framework for Numerically Inverting Laplace Transforms
- A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems
- $hp$-Finite Elements for Elliptic Eigenvalue Problems: Error Estimates Which Are Explicit with Respect to $\lambda$, h, and p
- AN A POSTERIORI ERROR ESTIMATOR FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS
- The Accurate Numerical Inversion of Laplace Transforms
- A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Numerical inverse Laplace transform for convection-diffusion equations
- Gauss--Hermite Quadrature for the Bromwich Integral
- A posteriori error control for finite element approximations of elliptic eigenvalue problems