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khp-adaptive spectr...
khp-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory
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- Giani, Stefano (författare)
- University of Durham, UK
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- Engström, Christian (författare)
- Linnaeus University,Lunds universitet,Linnéuniversitetet,Institutionen för matematik (MA),Lund University, Sweden,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Grubišić, Luka (författare)
- University of Zagreb, Croatia
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(creator_code:org_t)
- Elsevier, 2023
- 2023
- Engelska.
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Ingår i: Journal of Computational and Applied Mathematics. - : Elsevier. - 0377-0427 .- 1879-1778. ; 429
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- 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 (-adaptivity), but it is also applied to the size of the computed spectrum (-adaptivity). The meshes are refined using a residual based error estimator, while the size of the computed spectrum is adapted using the norm of the error of the projected data. We show that the approach can be very efficient and accurate.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Automatic adaptivity
- Inverse Laplace transform
- Spectral projection
- Wave equation with delay
- Discontinuous Galerkin method
- Matematik
- Mathematics
- Automatic adaptivity
- Discontinuous Galerkin method
- Inverse Laplace transform
- Spectral projection
- Wave equation with delay
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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